* djm0 djm1
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* @author Paul Harrison (paul.harrison@manchester.ac.uk) 28 Jan 2010
*
*
*/
public static class JulianDate implements ComparableThis function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * *
Called:
Notes: *
* ndp resolution
* : ...0000 00 00
* -7 1000 00 00
* -6 100 00 00
* -5 10 00 00
* -4 1 00 00
* -3 0 10 00
* -2 0 01 00
* -1 0 00 10
* 0 0 00 01
* 1 0 00 00.1
* 2 0 00 00.01
* 3 0 00 00.001
* : 0 00 00.000...
*
* This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param ndp int resolution (Note 1) * @param angle double angle in radians * * * @param ihmsf int[4] returned hours, minutes, seconds, fraction * @return sign char returned '+' or '-' * *
Called:
Notes: *
* ndp resolution
* : ...0000 00 00
* -7 1000 00 00
* -6 100 00 00
* -5 10 00 00
* -4 1 00 00
* -3 0 10 00
* -2 0 01 00
* -1 0 00 10
* 0 0 00 01
* 1 0 00 00.1
* 2 0 00 00.01
* 3 0 00 00.001
* : 0 00 00.000...
*
* This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double angle (radians) * * * @return double angle in range 0-2pi * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauAnp(final double a) { double w; w = fmod(a, D2PI); if (w < 0) w += D2PI; return w; } /** * Normalize angle into the range {@code -pi <= a < +pi}. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double angle (radians) * * * @return double angle in range +/-pi * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauAnpm(final double a) { double w; w = fmod(a, D2PI); if (abs(w) >= DPI) w -= dsign(D2PI, a); return w; } /** * Frame bias components of IAU 2000 precession-nutation models. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 2 Feb 2010 * * @since AIDA Stage 1 */ public static class FrameBias { /** longitude corrections */ public double dpsibi; /**obliquity corrections */ public double depsbi; /** the ICRS RA of the J2000.0 mean equinox */ public double dra; }; /** * Frame bias components of IAU 2000 precession-nutation models part * of the Mathews-Herring-Buffett (MHB2000) nutation series, with additions. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @return dpsibi,depsbi double returned longitude and obliquity corrections * dra double returned the ICRS RA of the J2000.0 mean equinox * *
Notes: *
References: * * Chapront, J., Chapront-Touze, M. &Francou, G., Astron. * Astrophys., 387, 700, 2002. * *
Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation * and precession New nutation series for nonrigid Earth and * insights into the Earth's interior", J.Geophys.Res., 107, B4, * 2002. The MHB2000 code itself was obtained on 9th September 2002 * from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. * *@version 2009 December 17 * * @since Release 20101201 * * */ public static FrameBias jauBi00() { /* The frame bias corrections in longitude and obliquity */ final double DPBIAS = -0.041775 * DAS2R, DEBIAS = -0.0068192 * DAS2R; /* The ICRS RA of the J2000.0 equinox (Chapront et al., 2002) */ final double DRA0 = -0.0146 * DAS2R; /* Return the results (which are fixed). */ FrameBias retval = new FrameBias(); retval.dpsibi = DPBIAS; retval.depsbi = DEBIAS; retval.dra = DRA0; return retval; } /** * Frame bias and precession, IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @param rb double[3][3] returned frame bias matrix (Note 2) * @param rp double[3][3] returned precession matrix (Note 3) * @param rbp double[3][3] returned bias-precession matrix (Note 4) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static void jauBp00(final double date1, final double date2, double rb[][], double rp[][], double rbp[][]) { /* J2000.0 obliquity (Lieske et al. 1977) */ final double EPS0 = 84381.448 * DAS2R; double t, dpsibi, depsbi; double dra0, psia77, oma77, chia, dpsipr, depspr, psia, oma, rbw[][] = new double[3][3]; /* Interval between fundamental epoch J2000.0 and current date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Frame bias. */ FrameBias fb = jauBi00(); dpsibi = fb.dpsibi; depsbi = fb.depsbi; dra0 = fb.dra; /* Precession angles (Lieske et al. 1977) */ psia77 = (5038.7784 + (-1.07259 + (-0.001147) * t) * t) * t * DAS2R; oma77 = EPS0 + ((0.05127 + (-0.007726) * t) * t) * t * DAS2R; chia = ( 10.5526 + (-2.38064 + (-0.001125) * t) * t) * t * DAS2R; /* Apply IAU 2000 precession corrections. */ PrecessionDeltaTerms pc = jauPr00(date1, date2); dpsipr = pc.dpsipr; depspr = pc.depspr; psia = psia77 + dpsipr; oma = oma77 + depspr; /* Frame bias matrix: GCRS to J2000.0. */ jauIr(rbw); jauRz(dra0, rbw); jauRy(dpsibi * sin(EPS0), rbw); jauRx(-depsbi, rbw); jauCr(rbw, rb); /* Precession matrix: J2000.0 to mean of date. */ jauIr(rp); jauRx(EPS0, rp); jauRz(-psia, rp); jauRx(-oma, rp); jauRz(chia, rp); /* Bias-precession matrix: GCRS to mean of date. */ double[][] rt = jauRxr(rp, rbw ); jauCr(rt, rbp); return; } /** * Frame bias and precession, IAU 2006. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @param rb double[3][3] returned frame bias matrix (Note 2) * @param rp double[3][3] returned precession matrix (Note 3) * @param rbp double[3][3] returned bias-precession matrix (Note 4) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. &Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P.T. &Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2009 December 17 * * @since Release 20101201 * * */ public static void jauBp06(final double date1, final double date2, double rb[][], double rp[][], double rbp[][]) { double rbt[][]; /* B matrix. */ FWPrecessionAngles fw = jauPfw06(DJM0, DJM00); double[][] rt = jauFw2m(fw.gamb, fw.phib, fw.psib, fw.epsa); jauCr(rt, rb); /* PxB matrix. */ rt = jauPmat06(date1, date2 ); jauCr(rt, rbp); /* P matrix. */ rbt = jauTr(rb); rt = jauRxr(rbp, rbt); jauCr(rt, rp); return; } /** * The components x,y are components of the Celestial Intermediate * Pole unit vector in the Geocentric Celestial Reference System. * * @author Paul Harrison (paul.harrison@manchester.ac.uk) 29 Jan 2010 * * @since AIDA Stage 1 */ public static class CelestialIntermediatePole { public double x; public double y; public CelestialIntermediatePole(double x, double y) { this.x = x; this.y = y; } } /** * Extract from the bias-precession-nutation matrix the X,Y coordinates * of the Celestial Intermediate Pole. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rbpn double[3][3] celestial-to-true matrix (Note 1) * * * @return returned Celestial Intermediate Pole (Note 2) * *
Notes: *
Reference: * * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 * (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static CelestialIntermediatePole jauBpn2xy(double rbpn[][]) { /* Extract the X,Y coordinates. */ return new CelestialIntermediatePole(rbpn[2][0], rbpn[2][1]); } /** * Form the celestial-to-intermediate matrix for a given date using the * IAU 2000A precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
"Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 * (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double[][] jauC2i00b(double date1, double date2) { double rbpn[][]; double rc2i[][]; /* Obtain the celestial-to-true matrix (IAU 2000B). */ rbpn = jauPnm00b(date1, date2 ); /* Form the celestial-to-intermediate matrix. */ rc2i = jauC2ibpn(date1, date2, rbpn); return rc2i; } /** * Form the celestial-to-intermediate matrix for a given date using the * IAU 2006 precession and IAU 2000A nutation models. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *@version 2008 May 13 * * @since Release 20101201 * * */ public static double[][] jauC2i06a(double date1, double date2) { double rbpn[][], s, rc2i[][]; /* Obtain the celestial-to-true matrix (IAU 2006/2000A). */ rbpn = jauPnm06a(date1, date2); /* Extract the X,Y coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Obtain the CIO locator. */ s = jauS06(date1, date2, cip.x, cip.y); /* Form the celestial-to-intermediate matrix. */ rc2i = jauC2ixys(cip.x, cip.y, s); return rc2i; } /** * Form the celestial-to-intermediate matrix for a given date given * the bias-precession-nutation matrix. IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param rbpn double[3][3] celestial-to-true matrix (Note 2) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 3) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: *
"Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * *
n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double[][] jauC2ibpn(double date1, double date2, double rbpn[][]) { /* Extract the X,Y coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Form the celestial-to-intermediate matrix (n.b. IAU 2000 specific). */ double rc2i[][] =jauC2ixy(date1, date2, cip.x, cip.y); return rc2i; } /** * Form the celestial to intermediate-frame-of-date matrix for a given * date when the CIP X,Y coordinates are known. IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param x double Celestial Intermediate Pole (Note 2) * @param y double Celestial Intermediate Pole (Note 2) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 3) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date &time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[][] jauC2ixy(double date1, double date2, double x, double y) { /* Compute s and then the matrix. */ double rc2i[][] = jauC2ixys(x, y, jauS00(date1, date2, x, y)); return rc2i; } /** * Form the celestial to intermediate-frame-of-date matrix given the CIP * X,Y and the CIO locator s. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param x double Celestial Intermediate Pole (Note 1) * @param y double Celestial Intermediate Pole (Note 1) * @param s double the CIO locator s (Note 2) * * * @return rc2i double[3][3] returned celestial-to-intermediate matrix (Note 3) * *
Notes: *
Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[][] jauC2ixys(double x, double y, double s) { double r2, e, d; double rc2i[][] = new double[3][3]; /* Obtain the spherical angles E and d. */ r2 = x*x + y*y; e = (r2 > 0.0) ? atan2(y, x) : 0.0; d = atan(sqrt(r2 / (1.0 - r2))); /* Form the matrix. */ jauIr(rc2i); jauRz(e, rc2i); jauRy(d, rc2i); jauRz(-(e+s), rc2i); return rc2i; } /** * P-vector to spherical coordinates. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector * * * @return theta double returned longitude angle (radians) * phi double returned latitude angle (radians) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param tta double TT as a 2-part Julian Date (Note 1) * @param ttb double TT as a 2-part Julian Date (Note 1) * @param uta double UT1 as a 2-part Julian Date (Note 1) * @param utb double UT1 as a 2-part Julian Date (Note 1) * @param xp double CIP coordinates (radians, Note 2) * @param yp double CIP coordinates (radians, Note 2) * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 3) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. In the case of uta,utb, the
* date &time method is best matched to the Earth rotation angle
* algorithm used: maximum precision is delivered when the uta
* argument is for 0hrs UT1 on the day in question and the utb
* argument lies in the range 0 to 1, or vice versa.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 April 1 * * @since Release 20101201 * * */ public static double[][] jauC2t00a(final double tta, final double ttb, final double uta, final double utb, final double xp, final double yp) { double rc2i[][]= new double[3][3], era, sp, rpom[][]; /* Form the celestial-to-intermediate matrix for this TT (IAU 2000A). */ rc2i = jauC2i00a(tta, ttb); /* Predict the Earth rotation angle for this UT1. */ era = jauEra00(uta, utb); /* Estimate s'. */ sp = jauSp00(tta, ttb); /* Form the polar motion matrix. */ rpom = jauPom00(xp, yp, sp ); /* Combine to form the celestial-to-terrestrial matrix. */ double[][] rc2t = jauC2tcio(rc2i, era, rpom ); return rc2t; } /** * Form the celestial to terrestrial matrix given the date, the UT1 and * the polar motion, using the IAU 2000B precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param tta double TT as a 2-part Julian Date (Note 1) * @param ttb double TT as a 2-part Julian Date (Note 1) * @param uta double UT1 as a 2-part Julian Date (Note 1) * @param utb double UT1 as a 2-part Julian Date (Note 1) * @param xp double coordinates of the pole (radians, Note 2) * @param yp double coordinates of the pole (radians, Note 2) * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 3) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. In the case of uta,utb, the
* date &time method is best matched to the Earth rotation angle
* algorithm used: maximum precision is delivered when the uta
* argument is for 0hrs UT1 on the day in question and the utb
* argument lies in the range 0 to 1, or vice versa.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 April 1 * * @since Release 20101201 * * */ public static double[][] jauC2t00b(final double tta, final double ttb, final double uta, final double utb, final double xp, final double yp ) { double rc2i[][], era, rpom[][]; double rc2t[][]; /* Form the celestial-to-intermediate matrix for this TT (IAU 2000B). */ rc2i =jauC2i00b(tta, ttb); /* Predict the Earth rotation angle for this UT1. */ era = jauEra00(uta, utb); /* Form the polar motion matrix (neglecting s'). */ rpom = jauPom00(xp, yp, 0.0 ); /* Combine to form the celestial-to-terrestrial matrix. */ rc2t = jauC2tcio(rc2i, era, rpom ); return rc2t; } /** * Form the celestial to terrestrial matrix given the date, the UT1 and * the polar motion, using the IAU 2006/2000A precession-nutation * nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param tta double TT as a 2-part Julian Date (Note 1) * @param ttb double TT as a 2-part Julian Date (Note 1) * @param uta double UT1 as a 2-part Julian Date (Note 1) * @param utb double UT1 as a 2-part Julian Date (Note 1) * @param xp double coordinates of the pole (radians, Note 2) * @param yp double coordinates of the pole (radians, Note 2) * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 3) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. In the case of uta,utb, the
* date &time method is best matched to the Earth rotation angle
* algorithm used: maximum precision is delivered when the uta
* argument is for 0hrs UT1 on the day in question and the utb
* argument lies in the range 0 to 1, or vice versa.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *@version 2009 April 1 * * @since Release 20101201 * * */ public static double[][] jauC2t06a(final double tta, final double ttb, final double uta, final double utb, final double xp, final double yp) { double rc2i[][], era, sp, rpom[][], rc2t[][]; /* Form the celestial-to-intermediate matrix for this TT. */ rc2i = jauC2i06a(tta, ttb); /* Predict the Earth rotation angle for this UT1. */ era = jauEra00(uta, utb); /* Estimate s'. */ sp = jauSp00(tta, ttb); /* Form the polar motion matrix. */ rpom = jauPom00(xp, yp, sp ); /* Combine to form the celestial-to-terrestrial matrix. */ rc2t = jauC2tcio(rc2i, era, rpom ); return rc2t; } /** * Assemble the celestial to terrestrial matrix from CIO-based * components (the celestial-to-intermediate matrix, the Earth Rotation * Angle and the polar motion matrix). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc2i double[3][3] celestial-to-intermediate matrix * @param era double Earth rotation angle (radians) * @param rpom double[3][3] polar-motion matrix * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix * *
Notes: *
Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[][] jauC2tcio(final double rc2i[][], final double era, final double rpom[][]) { double r[][] = new double[3][3]; /* Construct the matrix. */ jauCr(rc2i, r); jauRz(era, r); double[][] rc2t = jauRxr(rpom, r); return rc2t; } /** * Assemble the celestial to terrestrial matrix from equinox-based * components (the celestial-to-true matrix, the Greenwich Apparent * Sidereal Time and the polar motion matrix). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rbpn double[3][3] celestial-to-true matrix * @param gst double Greenwich (apparent) Sidereal Time (radians) * @param rpom double[3][3] polar-motion matrix * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 2) * *
Notes: *
Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[][] jauC2teqx(final double rbpn[][], final double gst, final double rpom[][] ) { double r[][] = new double[3][3], rc2t[][]; /* Construct the matrix. */ jauCr(rbpn, r); jauRz(gst, r); rc2t = jauRxr(rpom, r); return rc2t; } /** * Form the celestial to terrestrial matrix given the date, the UT1, * the nutation and the polar motion. IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param tta double TT as a 2-part Julian Date (Note 1) * @param ttb double TT as a 2-part Julian Date (Note 1) * @param uta double UT1 as a 2-part Julian Date (Note 1) * @param utb double UT1 as a 2-part Julian Date (Note 1) * @param dpsi double nutation (Note 2) * @param deps double nutation (Note 2) * @param xp double coordinates of the pole (radians, Note 3) * @param yp double coordinates of the pole (radians, Note 3) * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 4) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. In the case of uta,utb, the
* date &time method is best matched to the Earth rotation angle
* algorithm used: maximum precision is delivered when the uta
* argument is for 0hrs UT1 on the day in question and the utb
* argument lies in the range 0 to 1, or vice versa.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 April 1 * * @since Release 20101201 * * */ public static double[][] jauC2tpe(final double tta, final double ttb, final double uta, final double utb, final double dpsi, final double deps, final double xp, final double yp) { double rpom[][]; /* Form the celestial-to-true matrix for this TT. */ PrecessionNutation pn = jauPn00(tta, ttb, dpsi, deps); /* Predict the Greenwich Mean Sidereal Time for this UT1 and TT. */ double gmst = jauGmst00(uta, utb, tta, ttb); /* Predict the equation of the equinoxes given TT and nutation. */ double ee = jauEe00(tta, ttb, pn.epsa, dpsi); /* Estimate s'. */ double sp = jauSp00(tta, ttb); /* Form the polar motion matrix. */ rpom = jauPom00(xp, yp, sp); /* Combine to form the celestial-to-terrestrial matrix. */ double[][] rc2t = jauC2teqx(pn.rbpn, gmst + ee, rpom ); return rc2t; } /** * Form the celestial to terrestrial matrix given the date, the UT1, * the CIP coordinates and the polar motion. IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param tta double TT as a 2-part Julian Date (Note 1) * @param ttb double TT as a 2-part Julian Date (Note 1) * @param uta double UT1 as a 2-part Julian Date (Note 1) * @param utb double UT1 as a 2-part Julian Date (Note 1) * @param x double Celestial Intermediate Pole (Note 2) * @param y double Celestial Intermediate Pole (Note 2) * @param xp double coordinates of the pole (radians, Note 3) * @param yp double coordinates of the pole (radians, Note 3) * * * @return rc2t double[3][3] returned celestial-to-terrestrial matrix (Note 4) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date &time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. In the case of uta,utb, the
* date &time method is best matched to the Earth rotation angle
* algorithm used: maximum precision is delivered when the uta
* argument is for 0hrs UT1 on the day in question and the utb
* argument lies in the range 0 to 1, or vice versa.
*
* Called:
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 April 1 * * @since Release 20101201 * * */ public static double[][] jauC2txy(double tta, double ttb, double uta, double utb, double x, double y, double xp, double yp) { double rc2i[][] = new double[3][3], era, sp, rpom[][] = new double[3][3]; /* Form the celestial-to-intermediate matrix for this TT. */ rc2i = jauC2ixy(tta, ttb, x, y); /* Predict the Earth rotation angle for this UT1. */ era = jauEra00(uta, utb); /* Estimate s'. */ sp = jauSp00(tta, ttb); /* Form the polar motion matrix. */ rpom = jauPom00(xp, yp, sp); /* Combine to form the celestial-to-terrestrial matrix. */ double[][] rc2t = jauC2tcio(rc2i, era, rpom ); return rc2t; } /** * Gregorian Calendar to Julian Date. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param iy int year in Gregorian calendar (Note 1) * @param im int month in Gregorian calendar (Note 1) * @param id int day in Gregorian calendar (Note 1) * * * @return d MJD zero-point: always 2400000.5 * returned Modified Julian Date for 0 hrs * * * @throws JSOFAIllegalParameter status: * 0 = OK * -1 = bad year (Note 3: JD not computed) * -2 = bad month (JD not computed) * -3 = bad day (JD computed) * *
Notes: *
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 12.92 (p604). * *@version 2009 October 19 * * @since Release 20101201 * * */ public static JulianDate jauCal2jd(int iy, int im, int id) throws JSOFAIllegalParameter { int ly, my; long iypmy; double djm0, djm; /* Earliest year allowed (4800BC) */ final int IYMIN = -4799; /* Month lengths in days */ final int mtab[] = {31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31}; /* Validate year and month. */ if (iy < IYMIN) throw new JSOFAIllegalParameter("bad year", -1); if (im < 1 || im > 12) throw new JSOFAIllegalParameter("bad month", -2); /* If February in a leap year, 1, otherwise 0. */ ly = ((im == 2) &&(iy%4 == 0) && (iy%100 != 0 || (iy%400 == 0)))?1:0; /* Validate day, taking into account leap years. */ if ( (id < 1) || (id > (mtab[im-1] + ly))) { } /* Return result. */ my = (im - 14) / 12; iypmy = (long) (iy + my); djm0 = DJM0; djm = (double)((1461L * (iypmy + 4800L)) / 4L + (367L * (long) (im - 2 - 12 * my)) / 12L - (3L * ((iypmy + 4900L) / 100L)) / 4L + (long) id - 2432076L); /* Return status. */ return new JulianDate(djm0, djm); } /** * Copy a p-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector to be copied * * * @param c double[3] given and returned copy * @return double[3] given and returned copy * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[] jauCp(double p[], double c[]) { c[0] = p[0]; c[1] = p[1]; c[2] = p[2]; return c; } /** * Copy a position/velocity vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param pv double[2][3] position/velocity vector to be copied * @param c double[2][3] returned copy * * * @return double[2][3] returned c copy * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix to be copied. * * * @param c double[3][3] given and returned the elements of r are copied into this. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param ndp int resolution (Note 1) * @param days double interval in days * * * @param ihmsf int[4] returned hours, minutes, seconds, fraction * @return sign char returned '+' or '-' * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param scale char[] time scale ID (Note 1) * @param ndp int resolution (Note 2) * @param d1 double time as a 2-part Julian Date (Notes 3,4) * @param d2 double time as a 2-part Julian Date (Notes 3,4) * * * @return the date as a Gregorian calendar * iy,im,id int year, month, day in Gregorian calendar (Note 5) * ihmsf int[4] hours, minutes, seconds, fraction (Note 1) * * Returned (function value): * int status: +1 = dubious year (Note 5) * 0 = OK * -1 = unacceptable date (Note 6) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param scale char time scale ID (Note 1) * @param iy int year in Gregorian calendar (Note 2) * @param im int month in Gregorian calendar (Note 2) * @param id int day in Gregorian calendar (Note 2) * @param ihr int hour * @param imn int minute * @param sec double seconds * * * @return 2-part Julian Date (Notes 3,4) * * @throws JSOFAIllegalParameter bad year * * @throws JSOFAInternalError {@code status: +3 = both of next two * +2 = time is after end of day (Note 5) * +1 = dubious year (Note 6) * 0 = OK * -1 = bad year * -2 = bad month * -3 = bad day * -4 = bad hour * -5 = bad minute * -6 = bad second (<0)} * *
Notes: *
* :------------------------------------------:
* : :
* : IMPORTANT :
* : :
* : A new version of this function must be :
* : produced whenever a new leap second is :
* : announced. There are four items to :
* : change on each such occasion: :
* : :
* : 1) A new line must be added to the set :
* : of statements that initialize the :
* : array "changes". :
* : :
* : 2) The parameter IYV must be set to :
* : the current year. :
* : :
* : 3) The "Latest leap second" comment :
* : below must be set to the new leap :
* : second date. :
* : :
* : 4) The "This revision" comment, later, :
* : must be set to the current date. :
* : :
* : Change (2) must also be carried out :
* : whenever the function is re-issued, :
* : even if no leap seconds have been :
* : added. :
* : :
* : Latest leap second: 2017 Jan 01 :
* : :
* :__________________________________________:
*
*This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param iy int UTC: year (Notes 1 and 2) * @param im int month (Note 2) * @param id int day (Notes 2 and 3) * @param fd double fraction of day (Note 4) * * * @return deltat double returned TAI minus UTC, seconds * * @throws JSOFAIllegalParameter status (Note 5): * 1 = dubious year (Note 1) * 0 = OK * -1 = bad year * -2 = bad month * -3 = bad day (Note 3) * -4 = bad fraction (Note 4) * * @throws JSOFAInternalError * *
Notes: *
References: * *
Called:
@version 20160729 * * @since Release 20101201 * * */ public static double jauDat(int iy, int im, int id, double fd ) throws JSOFAIllegalParameter, JSOFAInternalError { /* Reference dates (MJD) and drift rates (s/day), pre leap seconds */ final double drift[][] = { { 37300.0, 0.0012960 }, { 37300.0, 0.0012960 }, { 37300.0, 0.0012960 }, { 37665.0, 0.0011232 }, { 37665.0, 0.0011232 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 38761.0, 0.0012960 }, { 39126.0, 0.0025920 }, { 39126.0, 0.0025920 } }; /* Number of Delta(AT) expressions before leap seconds were introduced */ final int NERA1 = drift.length; /* Number of Delta(AT) changes */ final int NDAT = leapSeconds.length; /* Miscellaneous local variables */ int i, m; double da, djm; /* Initialize the result to zero. */ double deltat = da = 0.0; /* If invalid fraction of a day, set error status and give up. */ if (fd < 0.0 || fd > 1.0) throw new JSOFAIllegalParameter("bad day fraction", -4); /* Convert the date into an MJD. */ JulianDate jd = jauCal2jd(iy, im, id); djm = jd.djm1; /* If pre-UTC year, set warning status and give up. */ if (iy < leapSeconds[0].iyear) throw new JSOFAInternalError("year before UTC start", 1); /* If suspiciously late year, set warning status but proceed. */ if (iy > IYV + 5) { } /* Combine year and month to form a date-ordered integer... */ m = 12*iy + im; /* ...and use it to find the preceding table entry. */ for (i = NDAT-1; i >=0; i--) { if (m >= (12 * leapSeconds[i].iyear + leapSeconds[i].month)) break; } /* Get the Delta(AT). */ da = leapSeconds[i].delat; /* If pre-1972, adjust for drift. */ if (i < NERA1) da += (djm + fd - drift[i][0]) * drift[i][1]; /* Return the Delta(AT) value. */ deltat = da; /* Return the value. */ return deltat; } /** * An approximation to TDB-TT, the difference between barycentric * dynamical time and terrestrial time, for an observer on the Earth. * * The different time scales - proper, coordinate and realized - are * related to each other: * {@code * TAI <- physically realized * : * offset <- observed (nominally +32.184s) * : * TT <- terrestrial time * : * rate adjustment (L_G) <- definition of TT * : * TCG <- time scale for GCRS * : * "periodic" terms <- jauDtdb is an implementation * : * rate adjustment (L_C) <- function of solar-system ephemeris * : * TCB <- time scale for BCRS * : * rate adjustment (-L_B) <- definition of TDB * : * TDB <- TCB scaled to track TT * : * "periodic" terms <- -jau_DTDB is an approximation * : * TT <- terrestrial time *} * Adopted values for the various constants can be found in the IERS * Conventions (McCarthy & Petit 2003). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double date, TDB (Notes 1-3) * @param date2 double date, TDB (Notes 1-3) * @param ut double universal time (UT1, fraction of one day) * @param elong double longitude (east positive, radians) * @param u double distance from Earth spin axis (km) * @param v double distance north of equatorial plane (km) * * * @return double TDB-TT (seconds) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Although the date is, formally, barycentric dynamical time (TDB),
* the terrestrial dynamical time (TT) can be used with no practical
* effect on the accuracy of the prediction.
*
* References: * *
Fairhead, L., & Bretagnon, P., Astron.Astrophys., 229, 240-247 * (1990). * *
IAU 2006 Resolution 3. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *
Moyer, T.D., Cel.Mech., 23, 33 (1981). * *
Murray, C.A., Vectorial Astrometry, Adam Hilger (1983). * *
Seidelmann, P.K. et al., Explanatory Supplement to the * Astronomical Almanac, Chapter 2, University Science Books (1992). * *
Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G. & Laskar, J., Astron.Astrophys., 282, 663-683 (1994). * *@version 2009 December 17 * * @since Release 20101201 * * */ public static double jauDtdb(double date1, double date2, double ut, double elong, double u, double v) { double t, tsol, w, elsun, emsun, d, elj, els, wt, w0, w1, w2, w3, w4, wf, wj; int j; /* * ===================== * Fairhead et al. model * ===================== * * 787 sets of three coefficients. * * Each set is * amplitude (microseconds) * frequency (radians per Julian millennium since J2000.0) * phase (radians) * * Sets 1-474 are the T**0 terms * " 475-679 " " T**1 * " 680-764 " " T**2 * " 765-784 " " T**3 * " 785-787 " " T**4 */ final double fairhd[][] = { /* 1, 10 */ { 1656.674564e-6, 6283.075849991, 6.240054195 }, { 22.417471e-6, 5753.384884897, 4.296977442 }, { 13.839792e-6, 12566.151699983, 6.196904410 }, { 4.770086e-6, 529.690965095, 0.444401603 }, { 4.676740e-6, 6069.776754553, 4.021195093 }, { 2.256707e-6, 213.299095438, 5.543113262 }, { 1.694205e-6, -3.523118349, 5.025132748 }, { 1.554905e-6, 77713.771467920, 5.198467090 }, { 1.276839e-6, 7860.419392439, 5.988822341 }, { 1.193379e-6, 5223.693919802, 3.649823730 }, /* 11, 20 */ { 1.115322e-6, 3930.209696220, 1.422745069 }, { 0.794185e-6, 11506.769769794, 2.322313077 }, { 0.447061e-6, 26.298319800, 3.615796498 }, { 0.435206e-6, -398.149003408, 4.349338347 }, { 0.600309e-6, 1577.343542448, 2.678271909 }, { 0.496817e-6, 6208.294251424, 5.696701824 }, { 0.486306e-6, 5884.926846583, 0.520007179 }, { 0.432392e-6, 74.781598567, 2.435898309 }, { 0.468597e-6, 6244.942814354, 5.866398759 }, { 0.375510e-6, 5507.553238667, 4.103476804 }, /* 21, 30 */ { 0.243085e-6, -775.522611324, 3.651837925 }, { 0.173435e-6, 18849.227549974, 6.153743485 }, { 0.230685e-6, 5856.477659115, 4.773852582 }, { 0.203747e-6, 12036.460734888, 4.333987818 }, { 0.143935e-6, -796.298006816, 5.957517795 }, { 0.159080e-6, 10977.078804699, 1.890075226 }, { 0.119979e-6, 38.133035638, 4.551585768 }, { 0.118971e-6, 5486.777843175, 1.914547226 }, { 0.116120e-6, 1059.381930189, 0.873504123 }, { 0.137927e-6, 11790.629088659, 1.135934669 }, /* 31, 40 */ { 0.098358e-6, 2544.314419883, 0.092793886 }, { 0.101868e-6, -5573.142801634, 5.984503847 }, { 0.080164e-6, 206.185548437, 2.095377709 }, { 0.079645e-6, 4694.002954708, 2.949233637 }, { 0.062617e-6, 20.775395492, 2.654394814 }, { 0.075019e-6, 2942.463423292, 4.980931759 }, { 0.064397e-6, 5746.271337896, 1.280308748 }, { 0.063814e-6, 5760.498431898, 4.167901731 }, { 0.048042e-6, 2146.165416475, 1.495846011 }, { 0.048373e-6, 155.420399434, 2.251573730 }, /* 41, 50 */ { 0.058844e-6, 426.598190876, 4.839650148 }, { 0.046551e-6, -0.980321068, 0.921573539 }, { 0.054139e-6, 17260.154654690, 3.411091093 }, { 0.042411e-6, 6275.962302991, 2.869567043 }, { 0.040184e-6, -7.113547001, 3.565975565 }, { 0.036564e-6, 5088.628839767, 3.324679049 }, { 0.040759e-6, 12352.852604545, 3.981496998 }, { 0.036507e-6, 801.820931124, 6.248866009 }, { 0.036955e-6, 3154.687084896, 5.071801441 }, { 0.042732e-6, 632.783739313, 5.720622217 }, /* 51, 60 */ { 0.042560e-6, 161000.685737473, 1.270837679 }, { 0.040480e-6, 15720.838784878, 2.546610123 }, { 0.028244e-6, -6286.598968340, 5.069663519 }, { 0.033477e-6, 6062.663207553, 4.144987272 }, { 0.034867e-6, 522.577418094, 5.210064075 }, { 0.032438e-6, 6076.890301554, 0.749317412 }, { 0.030215e-6, 7084.896781115, 3.389610345 }, { 0.029247e-6, -71430.695617928, 4.183178762 }, { 0.033529e-6, 9437.762934887, 2.404714239 }, { 0.032423e-6, 8827.390269875, 5.541473556 }, /* 61, 70 */ { 0.027567e-6, 6279.552731642, 5.040846034 }, { 0.029862e-6, 12139.553509107, 1.770181024 }, { 0.022509e-6, 10447.387839604, 1.460726241 }, { 0.020937e-6, 8429.241266467, 0.652303414 }, { 0.020322e-6, 419.484643875, 3.735430632 }, { 0.024816e-6, -1194.447010225, 1.087136918 }, { 0.025196e-6, 1748.016413067, 2.901883301 }, { 0.021691e-6, 14143.495242431, 5.952658009 }, { 0.017673e-6, 6812.766815086, 3.186129845 }, { 0.022567e-6, 6133.512652857, 3.307984806 }, /* 71, 80 */ { 0.016155e-6, 10213.285546211, 1.331103168 }, { 0.014751e-6, 1349.867409659, 4.308933301 }, { 0.015949e-6, -220.412642439, 4.005298270 }, { 0.015974e-6, -2352.866153772, 6.145309371 }, { 0.014223e-6, 17789.845619785, 2.104551349 }, { 0.017806e-6, 73.297125859, 3.475975097 }, { 0.013671e-6, -536.804512095, 5.971672571 }, { 0.011942e-6, 8031.092263058, 2.053414715 }, { 0.014318e-6, 16730.463689596, 3.016058075 }, { 0.012462e-6, 103.092774219, 1.737438797 }, /* 81, 90 */ { 0.010962e-6, 3.590428652, 2.196567739 }, { 0.015078e-6, 19651.048481098, 3.969480770 }, { 0.010396e-6, 951.718406251, 5.717799605 }, { 0.011707e-6, -4705.732307544, 2.654125618 }, { 0.010453e-6, 5863.591206116, 1.913704550 }, { 0.012420e-6, 4690.479836359, 4.734090399 }, { 0.011847e-6, 5643.178563677, 5.489005403 }, { 0.008610e-6, 3340.612426700, 3.661698944 }, { 0.011622e-6, 5120.601145584, 4.863931876 }, { 0.010825e-6, 553.569402842, 0.842715011 }, /* 91, 100 */ { 0.008666e-6, -135.065080035, 3.293406547 }, { 0.009963e-6, 149.563197135, 4.870690598 }, { 0.009858e-6, 6309.374169791, 1.061816410 }, { 0.007959e-6, 316.391869657, 2.465042647 }, { 0.010099e-6, 283.859318865, 1.942176992 }, { 0.007147e-6, -242.728603974, 3.661486981 }, { 0.007505e-6, 5230.807466803, 4.920937029 }, { 0.008323e-6, 11769.853693166, 1.229392026 }, { 0.007490e-6, -6256.777530192, 3.658444681 }, { 0.009370e-6, 149854.400134205, 0.673880395 }, /* 101, 110 */ { 0.007117e-6, 38.027672636, 5.294249518 }, { 0.007857e-6, 12168.002696575, 0.525733528 }, { 0.007019e-6, 6206.809778716, 0.837688810 }, { 0.006056e-6, 955.599741609, 4.194535082 }, { 0.008107e-6, 13367.972631107, 3.793235253 }, { 0.006731e-6, 5650.292110678, 5.639906583 }, { 0.007332e-6, 36.648562930, 0.114858677 }, { 0.006366e-6, 4164.311989613, 2.262081818 }, { 0.006858e-6, 5216.580372801, 0.642063318 }, { 0.006919e-6, 6681.224853400, 6.018501522 }, /* 111, 120 */ { 0.006826e-6, 7632.943259650, 3.458654112 }, { 0.005308e-6, -1592.596013633, 2.500382359 }, { 0.005096e-6, 11371.704689758, 2.547107806 }, { 0.004841e-6, 5333.900241022, 0.437078094 }, { 0.005582e-6, 5966.683980335, 2.246174308 }, { 0.006304e-6, 11926.254413669, 2.512929171 }, { 0.006603e-6, 23581.258177318, 5.393136889 }, { 0.005123e-6, -1.484472708, 2.999641028 }, { 0.004648e-6, 1589.072895284, 1.275847090 }, { 0.005119e-6, 6438.496249426, 1.486539246 }, /* 121, 130 */ { 0.004521e-6, 4292.330832950, 6.140635794 }, { 0.005680e-6, 23013.539539587, 4.557814849 }, { 0.005488e-6, -3.455808046, 0.090675389 }, { 0.004193e-6, 7234.794256242, 4.869091389 }, { 0.003742e-6, 7238.675591600, 4.691976180 }, { 0.004148e-6, -110.206321219, 3.016173439 }, { 0.004553e-6, 11499.656222793, 5.554998314 }, { 0.004892e-6, 5436.993015240, 1.475415597 }, { 0.004044e-6, 4732.030627343, 1.398784824 }, { 0.004164e-6, 12491.370101415, 5.650931916 }, /* 131, 140 */ { 0.004349e-6, 11513.883316794, 2.181745369 }, { 0.003919e-6, 12528.018664345, 5.823319737 }, { 0.003129e-6, 6836.645252834, 0.003844094 }, { 0.004080e-6, -7058.598461315, 3.690360123 }, { 0.003270e-6, 76.266071276, 1.517189902 }, { 0.002954e-6, 6283.143160294, 4.447203799 }, { 0.002872e-6, 28.449187468, 1.158692983 }, { 0.002881e-6, 735.876513532, 0.349250250 }, { 0.003279e-6, 5849.364112115, 4.893384368 }, { 0.003625e-6, 6209.778724132, 1.473760578 }, /* 141, 150 */ { 0.003074e-6, 949.175608970, 5.185878737 }, { 0.002775e-6, 9917.696874510, 1.030026325 }, { 0.002646e-6, 10973.555686350, 3.918259169 }, { 0.002575e-6, 25132.303399966, 6.109659023 }, { 0.003500e-6, 263.083923373, 1.892100742 }, { 0.002740e-6, 18319.536584880, 4.320519510 }, { 0.002464e-6, 202.253395174, 4.698203059 }, { 0.002409e-6, 2.542797281, 5.325009315 }, { 0.003354e-6, -90955.551694697, 1.942656623 }, { 0.002296e-6, 6496.374945429, 5.061810696 }, /* 151, 160 */ { 0.003002e-6, 6172.869528772, 2.797822767 }, { 0.003202e-6, 27511.467873537, 0.531673101 }, { 0.002954e-6, -6283.008539689, 4.533471191 }, { 0.002353e-6, 639.897286314, 3.734548088 }, { 0.002401e-6, 16200.772724501, 2.605547070 }, { 0.003053e-6, 233141.314403759, 3.029030662 }, { 0.003024e-6, 83286.914269554, 2.355556099 }, { 0.002863e-6, 17298.182327326, 5.240963796 }, { 0.002103e-6, -7079.373856808, 5.756641637 }, { 0.002303e-6, 83996.847317911, 2.013686814 }, /* 161, 170 */ { 0.002303e-6, 18073.704938650, 1.089100410 }, { 0.002381e-6, 63.735898303, 0.759188178 }, { 0.002493e-6, 6386.168624210, 0.645026535 }, { 0.002366e-6, 3.932153263, 6.215885448 }, { 0.002169e-6, 11015.106477335, 4.845297676 }, { 0.002397e-6, 6243.458341645, 3.809290043 }, { 0.002183e-6, 1162.474704408, 6.179611691 }, { 0.002353e-6, 6246.427287062, 4.781719760 }, { 0.002199e-6, -245.831646229, 5.956152284 }, { 0.001729e-6, 3894.181829542, 1.264976635 }, /* 171, 180 */ { 0.001896e-6, -3128.388765096, 4.914231596 }, { 0.002085e-6, 35.164090221, 1.405158503 }, { 0.002024e-6, 14712.317116458, 2.752035928 }, { 0.001737e-6, 6290.189396992, 5.280820144 }, { 0.002229e-6, 491.557929457, 1.571007057 }, { 0.001602e-6, 14314.168113050, 4.203664806 }, { 0.002186e-6, 454.909366527, 1.402101526 }, { 0.001897e-6, 22483.848574493, 4.167932508 }, { 0.001825e-6, -3738.761430108, 0.545828785 }, { 0.001894e-6, 1052.268383188, 5.817167450 }, /* 181, 190 */ { 0.001421e-6, 20.355319399, 2.419886601 }, { 0.001408e-6, 10984.192351700, 2.732084787 }, { 0.001847e-6, 10873.986030480, 2.903477885 }, { 0.001391e-6, -8635.942003763, 0.593891500 }, { 0.001388e-6, -7.046236698, 1.166145902 }, { 0.001810e-6, -88860.057071188, 0.487355242 }, { 0.001288e-6, -1990.745017041, 3.913022880 }, { 0.001297e-6, 23543.230504682, 3.063805171 }, { 0.001335e-6, -266.607041722, 3.995764039 }, { 0.001376e-6, 10969.965257698, 5.152914309 }, /* 191, 200 */ { 0.001745e-6, 244287.600007027, 3.626395673 }, { 0.001649e-6, 31441.677569757, 1.952049260 }, { 0.001416e-6, 9225.539273283, 4.996408389 }, { 0.001238e-6, 4804.209275927, 5.503379738 }, { 0.001472e-6, 4590.910180489, 4.164913291 }, { 0.001169e-6, 6040.347246017, 5.841719038 }, { 0.001039e-6, 5540.085789459, 2.769753519 }, { 0.001004e-6, -170.672870619, 0.755008103 }, { 0.001284e-6, 10575.406682942, 5.306538209 }, { 0.001278e-6, 71.812653151, 4.713486491 }, /* 201, 210 */ { 0.001321e-6, 18209.330263660, 2.624866359 }, { 0.001297e-6, 21228.392023546, 0.382603541 }, { 0.000954e-6, 6282.095528923, 0.882213514 }, { 0.001145e-6, 6058.731054289, 1.169483931 }, { 0.000979e-6, 5547.199336460, 5.448375984 }, { 0.000987e-6, -6262.300454499, 2.656486959 }, { 0.001070e-6, -154717.609887482, 1.827624012 }, { 0.000991e-6, 4701.116501708, 4.387001801 }, { 0.001155e-6, -14.227094002, 3.042700750 }, { 0.001176e-6, 277.034993741, 3.335519004 }, /* 211, 220 */ { 0.000890e-6, 13916.019109642, 5.601498297 }, { 0.000884e-6, -1551.045222648, 1.088831705 }, { 0.000876e-6, 5017.508371365, 3.969902609 }, { 0.000806e-6, 15110.466119866, 5.142876744 }, { 0.000773e-6, -4136.910433516, 0.022067765 }, { 0.001077e-6, 175.166059800, 1.844913056 }, { 0.000954e-6, -6284.056171060, 0.968480906 }, { 0.000737e-6, 5326.786694021, 4.923831588 }, { 0.000845e-6, -433.711737877, 4.749245231 }, { 0.000819e-6, 8662.240323563, 5.991247817 }, /* 221, 230 */ { 0.000852e-6, 199.072001436, 2.189604979 }, { 0.000723e-6, 17256.631536341, 6.068719637 }, { 0.000940e-6, 6037.244203762, 6.197428148 }, { 0.000885e-6, 11712.955318231, 3.280414875 }, { 0.000706e-6, 12559.038152982, 2.824848947 }, { 0.000732e-6, 2379.164473572, 2.501813417 }, { 0.000764e-6, -6127.655450557, 2.236346329 }, { 0.000908e-6, 131.541961686, 2.521257490 }, { 0.000907e-6, 35371.887265976, 3.370195967 }, { 0.000673e-6, 1066.495477190, 3.876512374 }, /* 231, 240 */ { 0.000814e-6, 17654.780539750, 4.627122566 }, { 0.000630e-6, 36.027866677, 0.156368499 }, { 0.000798e-6, 515.463871093, 5.151962502 }, { 0.000798e-6, 148.078724426, 5.909225055 }, { 0.000806e-6, 309.278322656, 6.054064447 }, { 0.000607e-6, -39.617508346, 2.839021623 }, { 0.000601e-6, 412.371096874, 3.984225404 }, { 0.000646e-6, 11403.676995575, 3.852959484 }, { 0.000704e-6, 13521.751441591, 2.300991267 }, { 0.000603e-6, -65147.619767937, 4.140083146 }, /* 241, 250 */ { 0.000609e-6, 10177.257679534, 0.437122327 }, { 0.000631e-6, 5767.611978898, 4.026532329 }, { 0.000576e-6, 11087.285125918, 4.760293101 }, { 0.000674e-6, 14945.316173554, 6.270510511 }, { 0.000726e-6, 5429.879468239, 6.039606892 }, { 0.000710e-6, 28766.924424484, 5.672617711 }, { 0.000647e-6, 11856.218651625, 3.397132627 }, { 0.000678e-6, -5481.254918868, 6.249666675 }, { 0.000618e-6, 22003.914634870, 2.466427018 }, { 0.000738e-6, 6134.997125565, 2.242668890 }, /* 251, 260 */ { 0.000660e-6, 625.670192312, 5.864091907 }, { 0.000694e-6, 3496.032826134, 2.668309141 }, { 0.000531e-6, 6489.261398429, 1.681888780 }, { 0.000611e-6, -143571.324284214, 2.424978312 }, { 0.000575e-6, 12043.574281889, 4.216492400 }, { 0.000553e-6, 12416.588502848, 4.772158039 }, { 0.000689e-6, 4686.889407707, 6.224271088 }, { 0.000495e-6, 7342.457780181, 3.817285811 }, { 0.000567e-6, 3634.621024518, 1.649264690 }, { 0.000515e-6, 18635.928454536, 3.945345892 }, /* 261, 270 */ { 0.000486e-6, -323.505416657, 4.061673868 }, { 0.000662e-6, 25158.601719765, 1.794058369 }, { 0.000509e-6, 846.082834751, 3.053874588 }, { 0.000472e-6, -12569.674818332, 5.112133338 }, { 0.000461e-6, 6179.983075773, 0.513669325 }, { 0.000641e-6, 83467.156352816, 3.210727723 }, { 0.000520e-6, 10344.295065386, 2.445597761 }, { 0.000493e-6, 18422.629359098, 1.676939306 }, { 0.000478e-6, 1265.567478626, 5.487314569 }, { 0.000472e-6, -18.159247265, 1.999707589 }, /* 271, 280 */ { 0.000559e-6, 11190.377900137, 5.783236356 }, { 0.000494e-6, 9623.688276691, 3.022645053 }, { 0.000463e-6, 5739.157790895, 1.411223013 }, { 0.000432e-6, 16858.482532933, 1.179256434 }, { 0.000574e-6, 72140.628666286, 1.758191830 }, { 0.000484e-6, 17267.268201691, 3.290589143 }, { 0.000550e-6, 4907.302050146, 0.864024298 }, { 0.000399e-6, 14.977853527, 2.094441910 }, { 0.000491e-6, 224.344795702, 0.878372791 }, { 0.000432e-6, 20426.571092422, 6.003829241 }, /* 281, 290 */ { 0.000481e-6, 5749.452731634, 4.309591964 }, { 0.000480e-6, 5757.317038160, 1.142348571 }, { 0.000485e-6, 6702.560493867, 0.210580917 }, { 0.000426e-6, 6055.549660552, 4.274476529 }, { 0.000480e-6, 5959.570433334, 5.031351030 }, { 0.000466e-6, 12562.628581634, 4.959581597 }, { 0.000520e-6, 39302.096962196, 4.788002889 }, { 0.000458e-6, 12132.439962106, 1.880103788 }, { 0.000470e-6, 12029.347187887, 1.405611197 }, { 0.000416e-6, -7477.522860216, 1.082356330 }, /* 291, 300 */ { 0.000449e-6, 11609.862544012, 4.179989585 }, { 0.000465e-6, 17253.041107690, 0.353496295 }, { 0.000362e-6, -4535.059436924, 1.583849576 }, { 0.000383e-6, 21954.157609398, 3.747376371 }, { 0.000389e-6, 17.252277143, 1.395753179 }, { 0.000331e-6, 18052.929543158, 0.566790582 }, { 0.000430e-6, 13517.870106233, 0.685827538 }, { 0.000368e-6, -5756.908003246, 0.731374317 }, { 0.000330e-6, 10557.594160824, 3.710043680 }, { 0.000332e-6, 20199.094959633, 1.652901407 }, /* 301, 310 */ { 0.000384e-6, 11933.367960670, 5.827781531 }, { 0.000387e-6, 10454.501386605, 2.541182564 }, { 0.000325e-6, 15671.081759407, 2.178850542 }, { 0.000318e-6, 138.517496871, 2.253253037 }, { 0.000305e-6, 9388.005909415, 0.578340206 }, { 0.000352e-6, 5749.861766548, 3.000297967 }, { 0.000311e-6, 6915.859589305, 1.693574249 }, { 0.000297e-6, 24072.921469776, 1.997249392 }, { 0.000363e-6, -640.877607382, 5.071820966 }, { 0.000323e-6, 12592.450019783, 1.072262823 }, /* 311, 320 */ { 0.000341e-6, 12146.667056108, 4.700657997 }, { 0.000290e-6, 9779.108676125, 1.812320441 }, { 0.000342e-6, 6132.028180148, 4.322238614 }, { 0.000329e-6, 6268.848755990, 3.033827743 }, { 0.000374e-6, 17996.031168222, 3.388716544 }, { 0.000285e-6, -533.214083444, 4.687313233 }, { 0.000338e-6, 6065.844601290, 0.877776108 }, { 0.000276e-6, 24.298513841, 0.770299429 }, { 0.000336e-6, -2388.894020449, 5.353796034 }, { 0.000290e-6, 3097.883822726, 4.075291557 }, /* 321, 330 */ { 0.000318e-6, 709.933048357, 5.941207518 }, { 0.000271e-6, 13095.842665077, 3.208912203 }, { 0.000331e-6, 6073.708907816, 4.007881169 }, { 0.000292e-6, 742.990060533, 2.714333592 }, { 0.000362e-6, 29088.811415985, 3.215977013 }, { 0.000280e-6, 12359.966151546, 0.710872502 }, { 0.000267e-6, 10440.274292604, 4.730108488 }, { 0.000262e-6, 838.969287750, 1.327720272 }, { 0.000250e-6, 16496.361396202, 0.898769761 }, { 0.000325e-6, 20597.243963041, 0.180044365 }, /* 331, 340 */ { 0.000268e-6, 6148.010769956, 5.152666276 }, { 0.000284e-6, 5636.065016677, 5.655385808 }, { 0.000301e-6, 6080.822454817, 2.135396205 }, { 0.000294e-6, -377.373607916, 3.708784168 }, { 0.000236e-6, 2118.763860378, 1.733578756 }, { 0.000234e-6, 5867.523359379, 5.575209112 }, { 0.000268e-6, -226858.238553767, 0.069432392 }, { 0.000265e-6, 167283.761587465, 4.369302826 }, { 0.000280e-6, 28237.233459389, 5.304829118 }, { 0.000292e-6, 12345.739057544, 4.096094132 }, /* 341, 350 */ { 0.000223e-6, 19800.945956225, 3.069327406 }, { 0.000301e-6, 43232.306658416, 6.205311188 }, { 0.000264e-6, 18875.525869774, 1.417263408 }, { 0.000304e-6, -1823.175188677, 3.409035232 }, { 0.000301e-6, 109.945688789, 0.510922054 }, { 0.000260e-6, 813.550283960, 2.389438934 }, { 0.000299e-6, 316428.228673312, 5.384595078 }, { 0.000211e-6, 5756.566278634, 3.789392838 }, { 0.000209e-6, 5750.203491159, 1.661943545 }, { 0.000240e-6, 12489.885628707, 5.684549045 }, /* 351, 360 */ { 0.000216e-6, 6303.851245484, 3.862942261 }, { 0.000203e-6, 1581.959348283, 5.549853589 }, { 0.000200e-6, 5642.198242609, 1.016115785 }, { 0.000197e-6, -70.849445304, 4.690702525 }, { 0.000227e-6, 6287.008003254, 2.911891613 }, { 0.000197e-6, 533.623118358, 1.048982898 }, { 0.000205e-6, -6279.485421340, 1.829362730 }, { 0.000209e-6, -10988.808157535, 2.636140084 }, { 0.000208e-6, -227.526189440, 4.127883842 }, { 0.000191e-6, 415.552490612, 4.401165650 }, /* 361, 370 */ { 0.000190e-6, 29296.615389579, 4.175658539 }, { 0.000264e-6, 66567.485864652, 4.601102551 }, { 0.000256e-6, -3646.350377354, 0.506364778 }, { 0.000188e-6, 13119.721102825, 2.032195842 }, { 0.000185e-6, -209.366942175, 4.694756586 }, { 0.000198e-6, 25934.124331089, 3.832703118 }, { 0.000195e-6, 4061.219215394, 3.308463427 }, { 0.000234e-6, 5113.487598583, 1.716090661 }, { 0.000188e-6, 1478.866574064, 5.686865780 }, { 0.000222e-6, 11823.161639450, 1.942386641 }, /* 371, 380 */ { 0.000181e-6, 10770.893256262, 1.999482059 }, { 0.000171e-6, 6546.159773364, 1.182807992 }, { 0.000206e-6, 70.328180442, 5.934076062 }, { 0.000169e-6, 20995.392966449, 2.169080622 }, { 0.000191e-6, 10660.686935042, 5.405515999 }, { 0.000228e-6, 33019.021112205, 4.656985514 }, { 0.000184e-6, -4933.208440333, 3.327476868 }, { 0.000220e-6, -135.625325010, 1.765430262 }, { 0.000166e-6, 23141.558382925, 3.454132746 }, { 0.000191e-6, 6144.558353121, 5.020393445 }, /* 381, 390 */ { 0.000180e-6, 6084.003848555, 0.602182191 }, { 0.000163e-6, 17782.732072784, 4.960593133 }, { 0.000225e-6, 16460.333529525, 2.596451817 }, { 0.000222e-6, 5905.702242076, 3.731990323 }, { 0.000204e-6, 227.476132789, 5.636192701 }, { 0.000159e-6, 16737.577236597, 3.600691544 }, { 0.000200e-6, 6805.653268085, 0.868220961 }, { 0.000187e-6, 11919.140866668, 2.629456641 }, { 0.000161e-6, 127.471796607, 2.862574720 }, { 0.000205e-6, 6286.666278643, 1.742882331 }, /* 391, 400 */ { 0.000189e-6, 153.778810485, 4.812372643 }, { 0.000168e-6, 16723.350142595, 0.027860588 }, { 0.000149e-6, 11720.068865232, 0.659721876 }, { 0.000189e-6, 5237.921013804, 5.245313000 }, { 0.000143e-6, 6709.674040867, 4.317625647 }, { 0.000146e-6, 4487.817406270, 4.815297007 }, { 0.000144e-6, -664.756045130, 5.381366880 }, { 0.000175e-6, 5127.714692584, 4.728443327 }, { 0.000162e-6, 6254.626662524, 1.435132069 }, { 0.000187e-6, 47162.516354635, 1.354371923 }, /* 401, 410 */ { 0.000146e-6, 11080.171578918, 3.369695406 }, { 0.000180e-6, -348.924420448, 2.490902145 }, { 0.000148e-6, 151.047669843, 3.799109588 }, { 0.000157e-6, 6197.248551160, 1.284375887 }, { 0.000167e-6, 146.594251718, 0.759969109 }, { 0.000133e-6, -5331.357443741, 5.409701889 }, { 0.000154e-6, 95.979227218, 3.366890614 }, { 0.000148e-6, -6418.140930027, 3.384104996 }, { 0.000128e-6, -6525.804453965, 3.803419985 }, { 0.000130e-6, 11293.470674356, 0.939039445 }, /* 411, 420 */ { 0.000152e-6, -5729.506447149, 0.734117523 }, { 0.000138e-6, 210.117701700, 2.564216078 }, { 0.000123e-6, 6066.595360816, 4.517099537 }, { 0.000140e-6, 18451.078546566, 0.642049130 }, { 0.000126e-6, 11300.584221356, 3.485280663 }, { 0.000119e-6, 10027.903195729, 3.217431161 }, { 0.000151e-6, 4274.518310832, 4.404359108 }, { 0.000117e-6, 6072.958148291, 0.366324650 }, { 0.000165e-6, -7668.637425143, 4.298212528 }, { 0.000117e-6, -6245.048177356, 5.379518958 }, /* 421, 430 */ { 0.000130e-6, -5888.449964932, 4.527681115 }, { 0.000121e-6, -543.918059096, 6.109429504 }, { 0.000162e-6, 9683.594581116, 5.720092446 }, { 0.000141e-6, 6219.339951688, 0.679068671 }, { 0.000118e-6, 22743.409379516, 4.881123092 }, { 0.000129e-6, 1692.165669502, 0.351407289 }, { 0.000126e-6, 5657.405657679, 5.146592349 }, { 0.000114e-6, 728.762966531, 0.520791814 }, { 0.000120e-6, 52.596639600, 0.948516300 }, { 0.000115e-6, 65.220371012, 3.504914846 }, /* 431, 440 */ { 0.000126e-6, 5881.403728234, 5.577502482 }, { 0.000158e-6, 163096.180360983, 2.957128968 }, { 0.000134e-6, 12341.806904281, 2.598576764 }, { 0.000151e-6, 16627.370915377, 3.985702050 }, { 0.000109e-6, 1368.660252845, 0.014730471 }, { 0.000131e-6, 6211.263196841, 0.085077024 }, { 0.000146e-6, 5792.741760812, 0.708426604 }, { 0.000146e-6, -77.750543984, 3.121576600 }, { 0.000107e-6, 5341.013788022, 0.288231904 }, { 0.000138e-6, 6281.591377283, 2.797450317 }, /* 441, 450 */ { 0.000113e-6, -6277.552925684, 2.788904128 }, { 0.000115e-6, -525.758811831, 5.895222200 }, { 0.000138e-6, 6016.468808270, 6.096188999 }, { 0.000139e-6, 23539.707386333, 2.028195445 }, { 0.000146e-6, -4176.041342449, 4.660008502 }, { 0.000107e-6, 16062.184526117, 4.066520001 }, { 0.000142e-6, 83783.548222473, 2.936315115 }, { 0.000128e-6, 9380.959672717, 3.223844306 }, { 0.000135e-6, 6205.325306007, 1.638054048 }, { 0.000101e-6, 2699.734819318, 5.481603249 }, /* 451, 460 */ { 0.000104e-6, -568.821874027, 2.205734493 }, { 0.000103e-6, 6321.103522627, 2.440421099 }, { 0.000119e-6, 6321.208885629, 2.547496264 }, { 0.000138e-6, 1975.492545856, 2.314608466 }, { 0.000121e-6, 137.033024162, 4.539108237 }, { 0.000123e-6, 19402.796952817, 4.538074405 }, { 0.000119e-6, 22805.735565994, 2.869040566 }, { 0.000133e-6, 64471.991241142, 6.056405489 }, { 0.000129e-6, -85.827298831, 2.540635083 }, { 0.000131e-6, 13613.804277336, 4.005732868 }, /* 461, 470 */ { 0.000104e-6, 9814.604100291, 1.959967212 }, { 0.000112e-6, 16097.679950283, 3.589026260 }, { 0.000123e-6, 2107.034507542, 1.728627253 }, { 0.000121e-6, 36949.230808424, 6.072332087 }, { 0.000108e-6, -12539.853380183, 3.716133846 }, { 0.000113e-6, -7875.671863624, 2.725771122 }, { 0.000109e-6, 4171.425536614, 4.033338079 }, { 0.000101e-6, 6247.911759770, 3.441347021 }, { 0.000113e-6, 7330.728427345, 0.656372122 }, { 0.000113e-6, 51092.726050855, 2.791483066 }, /* 471, 480 */ { 0.000106e-6, 5621.842923210, 1.815323326 }, { 0.000101e-6, 111.430161497, 5.711033677 }, { 0.000103e-6, 909.818733055, 2.812745443 }, { 0.000101e-6, 1790.642637886, 1.965746028 }, /* T */ { 102.156724e-6, 6283.075849991, 4.249032005 }, { 1.706807e-6, 12566.151699983, 4.205904248 }, { 0.269668e-6, 213.299095438, 3.400290479 }, { 0.265919e-6, 529.690965095, 5.836047367 }, { 0.210568e-6, -3.523118349, 6.262738348 }, { 0.077996e-6, 5223.693919802, 4.670344204 }, /* 481, 490 */ { 0.054764e-6, 1577.343542448, 4.534800170 }, { 0.059146e-6, 26.298319800, 1.083044735 }, { 0.034420e-6, -398.149003408, 5.980077351 }, { 0.032088e-6, 18849.227549974, 4.162913471 }, { 0.033595e-6, 5507.553238667, 5.980162321 }, { 0.029198e-6, 5856.477659115, 0.623811863 }, { 0.027764e-6, 155.420399434, 3.745318113 }, { 0.025190e-6, 5746.271337896, 2.980330535 }, { 0.022997e-6, -796.298006816, 1.174411803 }, { 0.024976e-6, 5760.498431898, 2.467913690 }, /* 491, 500 */ { 0.021774e-6, 206.185548437, 3.854787540 }, { 0.017925e-6, -775.522611324, 1.092065955 }, { 0.013794e-6, 426.598190876, 2.699831988 }, { 0.013276e-6, 6062.663207553, 5.845801920 }, { 0.011774e-6, 12036.460734888, 2.292832062 }, { 0.012869e-6, 6076.890301554, 5.333425680 }, { 0.012152e-6, 1059.381930189, 6.222874454 }, { 0.011081e-6, -7.113547001, 5.154724984 }, { 0.010143e-6, 4694.002954708, 4.044013795 }, { 0.009357e-6, 5486.777843175, 3.416081409 }, /* 501, 510 */ { 0.010084e-6, 522.577418094, 0.749320262 }, { 0.008587e-6, 10977.078804699, 2.777152598 }, { 0.008628e-6, 6275.962302991, 4.562060226 }, { 0.008158e-6, -220.412642439, 5.806891533 }, { 0.007746e-6, 2544.314419883, 1.603197066 }, { 0.007670e-6, 2146.165416475, 3.000200440 }, { 0.007098e-6, 74.781598567, 0.443725817 }, { 0.006180e-6, -536.804512095, 1.302642751 }, { 0.005818e-6, 5088.628839767, 4.827723531 }, { 0.004945e-6, -6286.598968340, 0.268305170 }, /* 511, 520 */ { 0.004774e-6, 1349.867409659, 5.808636673 }, { 0.004687e-6, -242.728603974, 5.154890570 }, { 0.006089e-6, 1748.016413067, 4.403765209 }, { 0.005975e-6, -1194.447010225, 2.583472591 }, { 0.004229e-6, 951.718406251, 0.931172179 }, { 0.005264e-6, 553.569402842, 2.336107252 }, { 0.003049e-6, 5643.178563677, 1.362634430 }, { 0.002974e-6, 6812.766815086, 1.583012668 }, { 0.003403e-6, -2352.866153772, 2.552189886 }, { 0.003030e-6, 419.484643875, 5.286473844 }, /* 521, 530 */ { 0.003210e-6, -7.046236698, 1.863796539 }, { 0.003058e-6, 9437.762934887, 4.226420633 }, { 0.002589e-6, 12352.852604545, 1.991935820 }, { 0.002927e-6, 5216.580372801, 2.319951253 }, { 0.002425e-6, 5230.807466803, 3.084752833 }, { 0.002656e-6, 3154.687084896, 2.487447866 }, { 0.002445e-6, 10447.387839604, 2.347139160 }, { 0.002990e-6, 4690.479836359, 6.235872050 }, { 0.002890e-6, 5863.591206116, 0.095197563 }, { 0.002498e-6, 6438.496249426, 2.994779800 }, /* 531, 540 */ { 0.001889e-6, 8031.092263058, 3.569003717 }, { 0.002567e-6, 801.820931124, 3.425611498 }, { 0.001803e-6, -71430.695617928, 2.192295512 }, { 0.001782e-6, 3.932153263, 5.180433689 }, { 0.001694e-6, -4705.732307544, 4.641779174 }, { 0.001704e-6, -1592.596013633, 3.997097652 }, { 0.001735e-6, 5849.364112115, 0.417558428 }, { 0.001643e-6, 8429.241266467, 2.180619584 }, { 0.001680e-6, 38.133035638, 4.164529426 }, { 0.002045e-6, 7084.896781115, 0.526323854 }, /* 541, 550 */ { 0.001458e-6, 4292.330832950, 1.356098141 }, { 0.001437e-6, 20.355319399, 3.895439360 }, { 0.001738e-6, 6279.552731642, 0.087484036 }, { 0.001367e-6, 14143.495242431, 3.987576591 }, { 0.001344e-6, 7234.794256242, 0.090454338 }, { 0.001438e-6, 11499.656222793, 0.974387904 }, { 0.001257e-6, 6836.645252834, 1.509069366 }, { 0.001358e-6, 11513.883316794, 0.495572260 }, { 0.001628e-6, 7632.943259650, 4.968445721 }, { 0.001169e-6, 103.092774219, 2.838496795 }, /* 551, 560 */ { 0.001162e-6, 4164.311989613, 3.408387778 }, { 0.001092e-6, 6069.776754553, 3.617942651 }, { 0.001008e-6, 17789.845619785, 0.286350174 }, { 0.001008e-6, 639.897286314, 1.610762073 }, { 0.000918e-6, 10213.285546211, 5.532798067 }, { 0.001011e-6, -6256.777530192, 0.661826484 }, { 0.000753e-6, 16730.463689596, 3.905030235 }, { 0.000737e-6, 11926.254413669, 4.641956361 }, { 0.000694e-6, 3340.612426700, 2.111120332 }, { 0.000701e-6, 3894.181829542, 2.760823491 }, /* 561, 570 */ { 0.000689e-6, -135.065080035, 4.768800780 }, { 0.000700e-6, 13367.972631107, 5.760439898 }, { 0.000664e-6, 6040.347246017, 1.051215840 }, { 0.000654e-6, 5650.292110678, 4.911332503 }, { 0.000788e-6, 6681.224853400, 4.699648011 }, { 0.000628e-6, 5333.900241022, 5.024608847 }, { 0.000755e-6, -110.206321219, 4.370971253 }, { 0.000628e-6, 6290.189396992, 3.660478857 }, { 0.000635e-6, 25132.303399966, 4.121051532 }, { 0.000534e-6, 5966.683980335, 1.173284524 }, /* 571, 580 */ { 0.000543e-6, -433.711737877, 0.345585464 }, { 0.000517e-6, -1990.745017041, 5.414571768 }, { 0.000504e-6, 5767.611978898, 2.328281115 }, { 0.000485e-6, 5753.384884897, 1.685874771 }, { 0.000463e-6, 7860.419392439, 5.297703006 }, { 0.000604e-6, 515.463871093, 0.591998446 }, { 0.000443e-6, 12168.002696575, 4.830881244 }, { 0.000570e-6, 199.072001436, 3.899190272 }, { 0.000465e-6, 10969.965257698, 0.476681802 }, { 0.000424e-6, -7079.373856808, 1.112242763 }, /* 581, 590 */ { 0.000427e-6, 735.876513532, 1.994214480 }, { 0.000478e-6, -6127.655450557, 3.778025483 }, { 0.000414e-6, 10973.555686350, 5.441088327 }, { 0.000512e-6, 1589.072895284, 0.107123853 }, { 0.000378e-6, 10984.192351700, 0.915087231 }, { 0.000402e-6, 11371.704689758, 4.107281715 }, { 0.000453e-6, 9917.696874510, 1.917490952 }, { 0.000395e-6, 149.563197135, 2.763124165 }, { 0.000371e-6, 5739.157790895, 3.112111866 }, { 0.000350e-6, 11790.629088659, 0.440639857 }, /* 591, 600 */ { 0.000356e-6, 6133.512652857, 5.444568842 }, { 0.000344e-6, 412.371096874, 5.676832684 }, { 0.000383e-6, 955.599741609, 5.559734846 }, { 0.000333e-6, 6496.374945429, 0.261537984 }, { 0.000340e-6, 6055.549660552, 5.975534987 }, { 0.000334e-6, 1066.495477190, 2.335063907 }, { 0.000399e-6, 11506.769769794, 5.321230910 }, { 0.000314e-6, 18319.536584880, 2.313312404 }, { 0.000424e-6, 1052.268383188, 1.211961766 }, { 0.000307e-6, 63.735898303, 3.169551388 }, /* 601, 610 */ { 0.000329e-6, 29.821438149, 6.106912080 }, { 0.000357e-6, 6309.374169791, 4.223760346 }, { 0.000312e-6, -3738.761430108, 2.180556645 }, { 0.000301e-6, 309.278322656, 1.499984572 }, { 0.000268e-6, 12043.574281889, 2.447520648 }, { 0.000257e-6, 12491.370101415, 3.662331761 }, { 0.000290e-6, 625.670192312, 1.272834584 }, { 0.000256e-6, 5429.879468239, 1.913426912 }, { 0.000339e-6, 3496.032826134, 4.165930011 }, { 0.000283e-6, 3930.209696220, 4.325565754 }, /* 611, 620 */ { 0.000241e-6, 12528.018664345, 3.832324536 }, { 0.000304e-6, 4686.889407707, 1.612348468 }, { 0.000259e-6, 16200.772724501, 3.470173146 }, { 0.000238e-6, 12139.553509107, 1.147977842 }, { 0.000236e-6, 6172.869528772, 3.776271728 }, { 0.000296e-6, -7058.598461315, 0.460368852 }, { 0.000306e-6, 10575.406682942, 0.554749016 }, { 0.000251e-6, 17298.182327326, 0.834332510 }, { 0.000290e-6, 4732.030627343, 4.759564091 }, { 0.000261e-6, 5884.926846583, 0.298259862 }, /* 621, 630 */ { 0.000249e-6, 5547.199336460, 3.749366406 }, { 0.000213e-6, 11712.955318231, 5.415666119 }, { 0.000223e-6, 4701.116501708, 2.703203558 }, { 0.000268e-6, -640.877607382, 0.283670793 }, { 0.000209e-6, 5636.065016677, 1.238477199 }, { 0.000193e-6, 10177.257679534, 1.943251340 }, { 0.000182e-6, 6283.143160294, 2.456157599 }, { 0.000184e-6, -227.526189440, 5.888038582 }, { 0.000182e-6, -6283.008539689, 0.241332086 }, { 0.000228e-6, -6284.056171060, 2.657323816 }, /* 631, 640 */ { 0.000166e-6, 7238.675591600, 5.930629110 }, { 0.000167e-6, 3097.883822726, 5.570955333 }, { 0.000159e-6, -323.505416657, 5.786670700 }, { 0.000154e-6, -4136.910433516, 1.517805532 }, { 0.000176e-6, 12029.347187887, 3.139266834 }, { 0.000167e-6, 12132.439962106, 3.556352289 }, { 0.000153e-6, 202.253395174, 1.463313961 }, { 0.000157e-6, 17267.268201691, 1.586837396 }, { 0.000142e-6, 83996.847317911, 0.022670115 }, { 0.000152e-6, 17260.154654690, 0.708528947 }, /* 641, 650 */ { 0.000144e-6, 6084.003848555, 5.187075177 }, { 0.000135e-6, 5756.566278634, 1.993229262 }, { 0.000134e-6, 5750.203491159, 3.457197134 }, { 0.000144e-6, 5326.786694021, 6.066193291 }, { 0.000160e-6, 11015.106477335, 1.710431974 }, { 0.000133e-6, 3634.621024518, 2.836451652 }, { 0.000134e-6, 18073.704938650, 5.453106665 }, { 0.000134e-6, 1162.474704408, 5.326898811 }, { 0.000128e-6, 5642.198242609, 2.511652591 }, { 0.000160e-6, 632.783739313, 5.628785365 }, /* 651, 660 */ { 0.000132e-6, 13916.019109642, 0.819294053 }, { 0.000122e-6, 14314.168113050, 5.677408071 }, { 0.000125e-6, 12359.966151546, 5.251984735 }, { 0.000121e-6, 5749.452731634, 2.210924603 }, { 0.000136e-6, -245.831646229, 1.646502367 }, { 0.000120e-6, 5757.317038160, 3.240883049 }, { 0.000134e-6, 12146.667056108, 3.059480037 }, { 0.000137e-6, 6206.809778716, 1.867105418 }, { 0.000141e-6, 17253.041107690, 2.069217456 }, { 0.000129e-6, -7477.522860216, 2.781469314 }, /* 661, 670 */ { 0.000116e-6, 5540.085789459, 4.281176991 }, { 0.000116e-6, 9779.108676125, 3.320925381 }, { 0.000129e-6, 5237.921013804, 3.497704076 }, { 0.000113e-6, 5959.570433334, 0.983210840 }, { 0.000122e-6, 6282.095528923, 2.674938860 }, { 0.000140e-6, -11.045700264, 4.957936982 }, { 0.000108e-6, 23543.230504682, 1.390113589 }, { 0.000106e-6, -12569.674818332, 0.429631317 }, { 0.000110e-6, -266.607041722, 5.501340197 }, { 0.000115e-6, 12559.038152982, 4.691456618 }, /* 671, 680 */ { 0.000134e-6, -2388.894020449, 0.577313584 }, { 0.000109e-6, 10440.274292604, 6.218148717 }, { 0.000102e-6, -543.918059096, 1.477842615 }, { 0.000108e-6, 21228.392023546, 2.237753948 }, { 0.000101e-6, -4535.059436924, 3.100492232 }, { 0.000103e-6, 76.266071276, 5.594294322 }, { 0.000104e-6, 949.175608970, 5.674287810 }, { 0.000101e-6, 13517.870106233, 2.196632348 }, { 0.000100e-6, 11933.367960670, 4.056084160 }, /* T^2 */ { 4.322990e-6, 6283.075849991, 2.642893748 }, /* 681, 690 */ { 0.406495e-6, 0.000000000, 4.712388980 }, { 0.122605e-6, 12566.151699983, 2.438140634 }, { 0.019476e-6, 213.299095438, 1.642186981 }, { 0.016916e-6, 529.690965095, 4.510959344 }, { 0.013374e-6, -3.523118349, 1.502210314 }, { 0.008042e-6, 26.298319800, 0.478549024 }, { 0.007824e-6, 155.420399434, 5.254710405 }, { 0.004894e-6, 5746.271337896, 4.683210850 }, { 0.004875e-6, 5760.498431898, 0.759507698 }, { 0.004416e-6, 5223.693919802, 6.028853166 }, /* 691, 700 */ { 0.004088e-6, -7.113547001, 0.060926389 }, { 0.004433e-6, 77713.771467920, 3.627734103 }, { 0.003277e-6, 18849.227549974, 2.327912542 }, { 0.002703e-6, 6062.663207553, 1.271941729 }, { 0.003435e-6, -775.522611324, 0.747446224 }, { 0.002618e-6, 6076.890301554, 3.633715689 }, { 0.003146e-6, 206.185548437, 5.647874613 }, { 0.002544e-6, 1577.343542448, 6.232904270 }, { 0.002218e-6, -220.412642439, 1.309509946 }, { 0.002197e-6, 5856.477659115, 2.407212349 }, /* 701, 710 */ { 0.002897e-6, 5753.384884897, 5.863842246 }, { 0.001766e-6, 426.598190876, 0.754113147 }, { 0.001738e-6, -796.298006816, 2.714942671 }, { 0.001695e-6, 522.577418094, 2.629369842 }, { 0.001584e-6, 5507.553238667, 1.341138229 }, { 0.001503e-6, -242.728603974, 0.377699736 }, { 0.001552e-6, -536.804512095, 2.904684667 }, { 0.001370e-6, -398.149003408, 1.265599125 }, { 0.001889e-6, -5573.142801634, 4.413514859 }, { 0.001722e-6, 6069.776754553, 2.445966339 }, /* 711, 720 */ { 0.001124e-6, 1059.381930189, 5.041799657 }, { 0.001258e-6, 553.569402842, 3.849557278 }, { 0.000831e-6, 951.718406251, 2.471094709 }, { 0.000767e-6, 4694.002954708, 5.363125422 }, { 0.000756e-6, 1349.867409659, 1.046195744 }, { 0.000775e-6, -11.045700264, 0.245548001 }, { 0.000597e-6, 2146.165416475, 4.543268798 }, { 0.000568e-6, 5216.580372801, 4.178853144 }, { 0.000711e-6, 1748.016413067, 5.934271972 }, { 0.000499e-6, 12036.460734888, 0.624434410 }, /* 721, 730 */ { 0.000671e-6, -1194.447010225, 4.136047594 }, { 0.000488e-6, 5849.364112115, 2.209679987 }, { 0.000621e-6, 6438.496249426, 4.518860804 }, { 0.000495e-6, -6286.598968340, 1.868201275 }, { 0.000456e-6, 5230.807466803, 1.271231591 }, { 0.000451e-6, 5088.628839767, 0.084060889 }, { 0.000435e-6, 5643.178563677, 3.324456609 }, { 0.000387e-6, 10977.078804699, 4.052488477 }, { 0.000547e-6, 161000.685737473, 2.841633844 }, { 0.000522e-6, 3154.687084896, 2.171979966 }, /* 731, 740 */ { 0.000375e-6, 5486.777843175, 4.983027306 }, { 0.000421e-6, 5863.591206116, 4.546432249 }, { 0.000439e-6, 7084.896781115, 0.522967921 }, { 0.000309e-6, 2544.314419883, 3.172606705 }, { 0.000347e-6, 4690.479836359, 1.479586566 }, { 0.000317e-6, 801.820931124, 3.553088096 }, { 0.000262e-6, 419.484643875, 0.606635550 }, { 0.000248e-6, 6836.645252834, 3.014082064 }, { 0.000245e-6, -1592.596013633, 5.519526220 }, { 0.000225e-6, 4292.330832950, 2.877956536 }, /* 741, 750 */ { 0.000214e-6, 7234.794256242, 1.605227587 }, { 0.000205e-6, 5767.611978898, 0.625804796 }, { 0.000180e-6, 10447.387839604, 3.499954526 }, { 0.000229e-6, 199.072001436, 5.632304604 }, { 0.000214e-6, 639.897286314, 5.960227667 }, { 0.000175e-6, -433.711737877, 2.162417992 }, { 0.000209e-6, 515.463871093, 2.322150893 }, { 0.000173e-6, 6040.347246017, 2.556183691 }, { 0.000184e-6, 6309.374169791, 4.732296790 }, { 0.000227e-6, 149854.400134205, 5.385812217 }, /* 751, 760 */ { 0.000154e-6, 8031.092263058, 5.120720920 }, { 0.000151e-6, 5739.157790895, 4.815000443 }, { 0.000197e-6, 7632.943259650, 0.222827271 }, { 0.000197e-6, 74.781598567, 3.910456770 }, { 0.000138e-6, 6055.549660552, 1.397484253 }, { 0.000149e-6, -6127.655450557, 5.333727496 }, { 0.000137e-6, 3894.181829542, 4.281749907 }, { 0.000135e-6, 9437.762934887, 5.979971885 }, { 0.000139e-6, -2352.866153772, 4.715630782 }, { 0.000142e-6, 6812.766815086, 0.513330157 }, /* 761, 770 */ { 0.000120e-6, -4705.732307544, 0.194160689 }, { 0.000131e-6, -71430.695617928, 0.000379226 }, { 0.000124e-6, 6279.552731642, 2.122264908 }, { 0.000108e-6, -6256.777530192, 0.883445696 }, /* T^3 */ { 0.143388e-6, 6283.075849991, 1.131453581 }, { 0.006671e-6, 12566.151699983, 0.775148887 }, { 0.001480e-6, 155.420399434, 0.480016880 }, { 0.000934e-6, 213.299095438, 6.144453084 }, { 0.000795e-6, 529.690965095, 2.941595619 }, { 0.000673e-6, 5746.271337896, 0.120415406 }, /* 771, 780 */ { 0.000672e-6, 5760.498431898, 5.317009738 }, { 0.000389e-6, -220.412642439, 3.090323467 }, { 0.000373e-6, 6062.663207553, 3.003551964 }, { 0.000360e-6, 6076.890301554, 1.918913041 }, { 0.000316e-6, -21.340641002, 5.545798121 }, { 0.000315e-6, -242.728603974, 1.884932563 }, { 0.000278e-6, 206.185548437, 1.266254859 }, { 0.000238e-6, -536.804512095, 4.532664830 }, { 0.000185e-6, 522.577418094, 4.578313856 }, { 0.000245e-6, 18849.227549974, 0.587467082 }, /* 781, 787 */ { 0.000180e-6, 426.598190876, 5.151178553 }, { 0.000200e-6, 553.569402842, 5.355983739 }, { 0.000141e-6, 5223.693919802, 1.336556009 }, { 0.000104e-6, 5856.477659115, 4.239842759 }, /* T^4 */ { 0.003826e-6, 6283.075849991, 5.705257275 }, { 0.000303e-6, 12566.151699983, 5.407132842 }, { 0.000209e-6, 155.420399434, 1.989815753 } }; /* Time since J2000.0 in Julian millennia. */ t = ((date1 - DJ00) + date2) / DJM; /* ================= */ /* Topocentric terms */ /* ================= */ /* Convert UT to local solar time in radians. */ tsol = fmod(ut, 1.0) * D2PI + elong; /* FUNDAMENTAL ARGUMENTS: Simon et al. 1994. */ /* Combine time argument (millennia) with deg/arcsec factor. */ w = t / 3600.0; /* Sun Mean Longitude. */ elsun = fmod(280.46645683 + 1296027711.03429 * w, 360.0) * DD2R; /* Sun Mean Anomaly. */ emsun = fmod(357.52910918 + 1295965810.481 * w, 360.0) * DD2R; /* Mean Elongation of Moon from Sun. */ d = fmod(297.85019547 + 16029616012.090 * w, 360.0) * DD2R; /* Mean Longitude of Jupiter. */ elj = fmod(34.35151874 + 109306899.89453 * w, 360.0) * DD2R; /* Mean Longitude of Saturn. */ els = fmod(50.07744430 + 44046398.47038 * w, 360.0) * DD2R; /* TOPOCENTRIC TERMS: Moyer 1981 and Murray 1983. */ wt = + 0.00029e-10 * u * sin(tsol + elsun - els) + 0.00100e-10 * u * sin(tsol - 2.0 * emsun) + 0.00133e-10 * u * sin(tsol - d) + 0.00133e-10 * u * sin(tsol + elsun - elj) - 0.00229e-10 * u * sin(tsol + 2.0 * elsun + emsun) - 0.02200e-10 * v * cos(elsun + emsun) + 0.05312e-10 * u * sin(tsol - emsun) - 0.13677e-10 * u * sin(tsol + 2.0 * elsun) - 1.31840e-10 * v * cos(elsun) + 3.17679e-10 * u * sin(tsol); /* ===================== */ /* Fairhead et al. model */ /* ===================== */ /* T**0 */ w0 = 0; for (j = 473; j >= 0; j--) { w0 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); } /* T**1 */ w1 = 0; for (j = 678; j >= 474; j--) { w1 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); } /* T**2 */ w2 = 0; for (j = 763; j >= 679; j--) { w2 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); } /* T**3 */ w3 = 0; for (j = 783; j >= 764; j--) { w3 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); } /* T**4 */ w4 = 0; for (j = 786; j >= 784; j--) { w4 += fairhd[j][0] * sin(fairhd[j][1] * t + fairhd[j][2]); } /* Multiply by powers of T and combine. */ wf = t * (t * (t * (t * w4 + w3) + w2) + w1) + w0; /* Adjustments to use JPL planetary masses instead of IAU. */ wj = 0.00065e-6 * sin(6069.776754 * t + 4.021194) + 0.00033e-6 * sin( 213.299095 * t + 5.543132) + (-0.00196e-6 * sin(6208.294251 * t + 5.696701)) + (-0.00173e-6 * sin( 74.781599 * t + 2.435900)) + 0.03638e-6 * t * t; /* ============ */ /* Final result */ /* ============ */ /* TDB-TT in seconds. */ w = wt + wf + wj; return w; } /** * The equation of the equinoxes, compatible with IAU 2000 resolutions, * given the nutation in longitude and the mean obliquity. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param epsa double mean obliquity (Note 2) * @param dpsi double nutation in longitude (Note 3) * * * @return double equation of the equinoxes (Note 4) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauEe00(double date1, double date2, double epsa, double dpsi) { double ee; /* Equation of the equinoxes. */ ee = dpsi * cos(epsa) + jauEect00(date1, date2); return ee; } /** * Equation of the equinoxes, compatible with IAU 2000 resolutions. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double equation of the equinoxes (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003). * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004). * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauEe00a(double date1, double date2) { double epsa, ee; /* IAU 2000 precession-rate adjustments. */ PrecessionDeltaTerms nutd = jauPr00(date1, date2); /* Mean obliquity, consistent with IAU 2000 precession-nutation. */ epsa = jauObl80(date1, date2) + nutd.depspr; /* Nutation in longitude. */ NutationTerms nut = jauNut00a(date1, date2); /* Equation of the equinoxes. */ ee = jauEe00(date1, date2, epsa, nut.dpsi); return ee; } /** * Equation of the equinoxes, compatible with IAU 2000 resolutions but * using the truncated nutation model IAU 2000B. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double equation of the equinoxes (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
McCarthy, D.D. & Luzum, B.J., "An abridged model of the * precession-nutation of the celestial pole", Celestial Mechanics & * Dynamical Astronomy, 85, 37-49 (2003) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 18 * * @since Release 20101201 * * */ public static double jauEe00b(double date1, double date2) { double ee; /* IAU 2000 precession-rate adjustments. */ PrecessionDeltaTerms nutd = jauPr00(date1, date2); /* Mean obliquity, consistent with IAU 2000 precession-nutation. */ double epsa = jauObl80(date1, date2) + nutd.depspr; /* Nutation in longitude. dpsi, deps*/ NutationTerms nut = jauNut00b(date1, date2 ); /* Equation of the equinoxes. */ ee = jauEe00(date1, date2, epsa, nut.dpsi); return ee; } /** * Equation of the equinoxes, compatible with IAU 2000 resolutions and * IAU 2006/2000A precession-nutation. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double equation of the equinoxes (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *@version 2008 May 18 * * @since Release 20101201 * * */ public static double jauEe06a(double date1, double date2) { double gst06a, gmst06, ee; /* Apparent and mean sidereal times. */ gst06a = jauGst06a(0.0, 0.0, date1, date2); gmst06 = jauGmst06(0.0, 0.0, date1, date2); /* Equation of the equinoxes. */ ee = jauAnpm(gst06a - gmst06); return ee; } private static class TERM { final int nfa[]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */ final double s, c; /* sine and cosine coefficients */ public TERM(int nfa[], double s, double c) { this.nfa = nfa; this.s = s; this.c = c; } } /** * Equation of the equinoxes complementary terms, consistent with * IAU 2000 resolutions. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double complementary terms (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. & Gontier, A.-M., Astron. Astrophys., 275, * 645-650 (1993) * *
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
IAU Resolution C7, Recommendation 3 (1994) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 December 17 * * @since Release 20101201 * * */ public static double jauEect00(double date1, double date2) { /* Time since J2000.0, in Julian centuries */ double t; /* Miscellaneous */ int i, j; double a, s0, s1; /* Fundamental arguments */ double fa[] = new double[14]; /* Returned value. */ double eect; /* ----------------------------------------- */ /* The series for the EE complementary terms */ /* ----------------------------------------- */ /* Terms of order t^0 */ final TERM e0[] = { /* 1-10 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 2640.96e-6, -0.39e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, 63.52e-6, -0.02e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 3, 0, 0, 0}, 11.75e-6, 0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 1, 0, 0, 0}, 11.21e-6, 0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, -4.55e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 3, 0, 0, 0}, 2.02e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.98e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 3, 0, 0, 0}, -1.72e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 0, 0, 1, 0, 0, 0}, -1.41e-6, -0.01e-6 ), new TERM(new int[]{ 0, 1, 0, 0, -1, 0, 0, 0}, -1.26e-6, -0.01e-6 ), /* 11-20 */ new TERM(new int[]{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.63e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.63e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 3, 0, 0, 0}, 0.46e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 1, 0, 0, 0}, 0.45e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -4, 4, 0, 0, 0}, 0.36e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 1, -1, 1, -8, 12, 0}, -0.24e-6, -0.12e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 0, 0, 0, 0}, 0.32e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, 0.28e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 3, 0, 0, 0}, 0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.26e-6, 0.00e-6 ), /* 21-30 */ new TERM(new int[]{ 0, 0, 2, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -3, 0, 0, 0}, 0.19e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -1, 0, 0, 0}, 0.18e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 0, 8,-13, -1}, -0.10e-6, 0.05e-6 ), new TERM(new int[]{ 0, 0, 0, 2, 0, 0, 0, 0}, 0.15e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, -2, 0, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, 1, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 2, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -2, 4, 0, 0, 0}, 0.13e-6, 0.00e-6 ), /* 31-33 */ new TERM(new int[]{ 0, 0, 2, -2, 4, 0, 0, 0}, -0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -3, 0, 0, 0}, 0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -1, 0, 0, 0}, 0.11e-6, 0.00e-6 ) }; /* Terms of order t^1 */ final TERM e1[] = { new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.87e-6, 0.00e-6 ) }; /* Number of terms in the series */ final int NE0 = e0.length; final int NE1 = e1.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental epoch J2000.0 and current date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Fundamental Arguments (from IERS Conventions 2003) */ /* Mean anomaly of the Moon. */ fa[0] = jauFal03(t); /* Mean anomaly of the Sun. */ fa[1] = jauFalp03(t); /* Mean longitude of the Moon minus that of the ascending node. */ fa[2] = jauFaf03(t); /* Mean elongation of the Moon from the Sun. */ fa[3] = jauFad03(t); /* Mean longitude of the ascending node of the Moon. */ fa[4] = jauFaom03(t); /* Mean longitude of Venus. */ fa[5] = jauFave03(t); /* Mean longitude of Earth. */ fa[6] = jauFae03(t); /* General precession in longitude. */ fa[7] = jauFapa03(t); /* Evaluate the EE complementary terms. */ s0 = 0.0; s1 = 0.0; for (i = NE0-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)(e0[i].nfa[j]) * fa[j]; } s0 += e0[i].s * sin(a) + e0[i].c * cos(a); } for (i = NE1-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)(e1[i].nfa[j]) * fa[j]; } s1 += e1[i].s * sin(a) + e1[i].c * cos(a); } eect = (s0 + s1 * t ) * DAS2R; return eect; } /** * Reference Ellipsoid of Earth. * * The ellipsoid parameters are returned in the form of equatorial * radius in meters (a) and flattening (f). The latter is a number * around 0.00335, i.e. around 1/298. * * @author Paul Harrison (paul.harrison@manchester.ac.uk) 1 Feb 2010 * * @since AIDA Stage 1 */ public static class ReferenceEllipsoid{ /** equatorial radius (meters, Note 2) */ public double a; /** flattening (Note 2) */ public double f ; public ReferenceEllipsoid(double a, double f ) { this.a = a; this.f = f; } } /** * Earth reference ellipsoids. * *
This function is derived from the International Astronomical Union's * JSOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param n int ellipsoid identifier (Note 1) * * * @return a double returned equatorial radius (meters, Note 2) * f double returned flattening (Note 2) * * * @throws JSOFAIllegalParameter int status: * 0 = OK * -1 = illegal identifier (Note 3) * *
Notes: *
References: * *
Department of Defense World Geodetic System 1984, National * Imagery and Mapping Agency Technical Report 8350.2, Third * Edition, p3-2. * *
Moritz, H., Bull. Geodesique 66-2, 187 (1992). * *
The Department of Defense World Geodetic System 1972, World * Geodetic System Committee, May 1974. * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * p220. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static ReferenceEllipsoid jauEform ( int n ) throws JSOFAIllegalParameter { double a,f; /* Look up a and f for the specified reference ellipsoid. */ switch ( n ) { case 1: /* WGS84. */ a = 6378137.0; f = 1.0 / 298.257223563; break; case 2: /* GRS80. */ a = 6378137.0; f = 1.0 / 298.257222101; break; case 3: /* WGS72. */ a = 6378135.0; f = 1.0 / 298.26; break; default: /* Invalid identifier. */ a = 0.0; f = 0.0; throw new JSOFAIllegalParameter("illegal ellipsoid identifier", -1); } /* OK status. */ return new ReferenceEllipsoid(a, f); } /** * Equation of the origins, IAU 2006 precession and IAU 2000A nutation. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double the equation of the origins in radians * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauEo06a(double date1, double date2) { double r[][], s, eo; /* Classical nutation x precession x bias matrix. */ r = jauPnm06a(date1, date2); /* Extract CIP coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(r); /* The CIO locator, s. */ s = jauS06(date1, date2, cip.x, cip.y); /* Solve for the EO. */ eo = jauEors(r, s); return eo; } /** * Equation of the origins, given the classical NPB matrix and the * quantity s. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rnpb double[3][3] classical nutation x precession x bias matrix * @param s double the quantity s (the CIO locator) in radians * * * @return double the equation of the origins in radians. * *
Notes: *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2008 May 26 * * @since Release 20101201 * * */ public static double jauEors(double rnpb[][], double s) { double x, ax, xs, ys, zs, p, q, eo; /* Evaluate Wallace & Capitaine (2006) expression (16). */ x = rnpb[2][0]; ax = x / (1.0 + rnpb[2][2]); xs = 1.0 - ax * x; ys = -ax * rnpb[2][1]; zs = -x; p = rnpb[0][0] * xs + rnpb[0][1] * ys + rnpb[0][2] * zs; q = rnpb[1][0] * xs + rnpb[1][1] * ys + rnpb[1][2] * zs; eo = ((p != 0) || (q != 0)) ? s - atan2(q, p) : s; return eo; } /** * Julian Date to Besselian Epoch. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param dj1 double Julian Date (see note) * @param dj2 double Julian Date (see note) * * * @return double Besselian Epoch. * * Note: * * The Julian Date is supplied in two pieces, in the usual JSOFA * manner, which is designed to preserve time resolution. The * Julian Date is available as a single number by adding dj1 and * dj2. The maximum resolution is achieved if dj1 is 2451545D0 * (J2000.0). * *
Reference: * * Lieske,J.H., 1979. Astron.Astrophys.,73,282. * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauEpb(double dj1, double dj2) { /* J2000.0 minus B1900.0 (2415019.81352) in Julian days */ final double D1900 = 36524.68648; return 1900.0 + ((dj1 - DJ00) + (dj2 + D1900)) / DTY; } /** * Besselian Epoch to Julian Date. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epb double Besselian Epoch (e.g. 1957.3D0) * * * @return MJD zero-point: always 2400000.5 Modified Julian Date * * Note: * * The Julian Date is returned in two pieces, in the usual JSOFA * manner, which is designed to preserve time resolution. The * Julian Date is available as a single number by adding djm0 and * djm. * *
Reference: * *
Lieske, J.H., 1979, Astron.Astrophys. 73, 282. * *@version 2008 May 24 * * @since Release 20101201 * * */ public static JulianDate jauEpb2jd(double epb) { double djm0, djm; djm0 = 2400000.5; djm = 15019.81352 + (epb - 1900.0) * DTY; return new JulianDate(djm0, djm); } /** * Julian Date to Julian Epoch. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param dj1 double Julian Date (see note) * @param dj2 double Julian Date (see note) * * * @return double Julian Epoch * * Note: * * The Julian Date is supplied in two pieces, in the usual JSOFA * manner, which is designed to preserve time resolution. The * Julian Date is available as a single number by adding dj1 and * dj2. The maximum resolution is achieved if dj1 is 2451545D0 * (J2000.0). * *
Reference: * *
Lieske, J.H., 1979, Astron.Astrophys. 73, 282. * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauEpj(double dj1, double dj2) { return 2000.0 + ((dj1 - DJ00) + dj2) / DJY; } /** * Julian Epoch to Julian Date. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian Epoch (e.g. 1996.8D0) * * * @return MJD zero-point: always 2400000.5 Modified Julian Date * * Note: * * The Julian Date is returned in two pieces, in the usual JSOFA * manner, which is designed to preserve time resolution. The * Julian Date is available as a single number by adding djm0 and * djm. * *
Reference: * *
Lieske, J.H., 1979, Astron.Astrophys. 73, 282. * *@version 2008 May 11 * * @since Release 20101201 * * */ public static JulianDate jauEpj2jd(double epj) { double djm0, djm; djm0 = 2400000.5; djm = 51544.5 + (epj - 2000.0) * 365.25; return new JulianDate(djm0, djm); } /* * A utility class to get round 65536 byte limit on functions in java - The static initializer is too large on its own. - So split into two classes for no real semantic reason */ static private final class Ephemeris extends SSB { /** * ---------------------- * Ephemeris Coefficients * ---------------------- * * The ephemeris consists of harmonic terms for predicting (i) the Sun * to Earth vector and (ii) the Solar-System-barycenter to Sun vector * respectively. The coefficients are stored in arrays which, although * 1-demensional, contain groups of three. Each triplet of * coefficients is the amplitude, phase and frequency for one term in * the model, and each array contains the number of terms called for by * the model. * * There are eighteen such arrays, named as follows: *
* array model power of T component
*
* e0x Sun-to-Earth 0 x
* e0y Sun-to-Earth 0 y
* e0z Sun-to-Earth 0 z
*
* e1x Sun-to-Earth 1 x
* e1y Sun-to-Earth 1 y
* e1z Sun-to-Earth 1 z
*
* e2x Sun-to-Earth 2 x
* e2y Sun-to-Earth 2 y
* e2z Sun-to-Earth 2 z
*
* s0x SSB-to-Sun 0 x
* s0y SSB-to-Sun 0 y
* s0z SSB-to-Sun 0 z
*
* s1x SSB-to-Sun 1 x
* s1y SSB-to-Sun 1 y
* s1z SSB-to-Sun 1 z
*
* s2x SSB-to-Sun 2 x
* s2y SSB-to-Sun 2 y
* s2z SSB-to-Sun 2 z
*
*/
/* Sun-to-Earth, T^0, X */
static final double e0x[] = {
0.9998292878132e+00, 0.1753485171504e+01, 0.6283075850446e+01,
0.8352579567414e-02, 0.1710344404582e+01, 0.1256615170089e+02,
0.5611445335148e-02, 0.0000000000000e+00, 0.0000000000000e+00,
0.1046664295572e-03, 0.1667225416770e+01, 0.1884922755134e+02,
0.3110842534677e-04, 0.6687513390251e+00, 0.8399684731857e+02,
0.2552413503550e-04, 0.5830637358413e+00, 0.5296909721118e+00,
0.2137207845781e-04, 0.1092330954011e+01, 0.1577343543434e+01,
0.1680240182951e-04, 0.4955366134987e+00, 0.6279552690824e+01,
0.1679012370795e-04, 0.6153014091901e+01, 0.6286599010068e+01,
0.1445526946777e-04, 0.3472744100492e+01, 0.2352866153506e+01,
0.1091038246184e-04, 0.3689845786119e+01, 0.5223693906222e+01,
0.9344399733932e-05, 0.6073934645672e+01, 0.1203646072878e+02,
0.8993182910652e-05, 0.3175705249069e+01, 0.1021328554739e+02,
0.5665546034116e-05, 0.2152484672246e+01, 0.1059381944224e+01,
0.6844146703035e-05, 0.1306964099750e+01, 0.5753384878334e+01,
0.7346610905565e-05, 0.4354980070466e+01, 0.3981490189893e+00,
0.6815396474414e-05, 0.2218229211267e+01, 0.4705732307012e+01,
0.6112787253053e-05, 0.5384788425458e+01, 0.6812766822558e+01,
0.4518120711239e-05, 0.6087604012291e+01, 0.5884926831456e+01,
0.4521963430706e-05, 0.1279424524906e+01, 0.6256777527156e+01,
0.4497426764085e-05, 0.5369129144266e+01, 0.6309374173736e+01,
0.4062190566959e-05, 0.5436473303367e+00, 0.6681224869435e+01,
0.5412193480192e-05, 0.7867838528395e+00, 0.7755226100720e+00,
0.5469839049386e-05, 0.1461440311134e+01, 0.1414349524433e+02,
0.5205264083477e-05, 0.4432944696116e+01, 0.7860419393880e+01,
0.2149759935455e-05, 0.4502237496846e+01, 0.1150676975667e+02,
0.2279109618501e-05, 0.1239441308815e+01, 0.7058598460518e+01,
0.2259282939683e-05, 0.3272430985331e+01, 0.4694002934110e+01,
0.2558950271319e-05, 0.2265471086404e+01, 0.1216800268190e+02,
0.2561581447555e-05, 0.1454740653245e+01, 0.7099330490126e+00,
0.1781441115440e-05, 0.2962068630206e+01, 0.7962980379786e+00,
0.1612005874644e-05, 0.1473255041006e+01, 0.5486777812467e+01,
0.1818630667105e-05, 0.3743903293447e+00, 0.6283008715021e+01,
0.1818601377529e-05, 0.6274174354554e+01, 0.6283142985870e+01,
0.1554475925257e-05, 0.1624110906816e+01, 0.2513230340178e+02,
0.2090948029241e-05, 0.5852052276256e+01, 0.1179062909082e+02,
0.2000176345460e-05, 0.4072093298513e+01, 0.1778984560711e+02,
0.1289535917759e-05, 0.5217019331069e+01, 0.7079373888424e+01,
0.1281135307881e-05, 0.4802054538934e+01, 0.3738761453707e+01,
0.1518229005692e-05, 0.8691914742502e+00, 0.2132990797783e+00,
0.9450128579027e-06, 0.4601859529950e+01, 0.1097707878456e+02,
0.7781119494996e-06, 0.1844352816694e+01, 0.8827390247185e+01,
0.7733407759912e-06, 0.3582790154750e+01, 0.5507553240374e+01,
0.7350644318120e-06, 0.2695277788230e+01, 0.1589072916335e+01,
0.6535928827023e-06, 0.3651327986142e+01, 0.1176985366291e+02,
0.6324624183656e-06, 0.2241302375862e+01, 0.6262300422539e+01,
0.6298565300557e-06, 0.4407122406081e+01, 0.6303851278352e+01,
0.8587037089179e-06, 0.3024307223119e+01, 0.1672837615881e+03,
0.8299954491035e-06, 0.6192539428237e+01, 0.3340612434717e+01,
0.6311263503401e-06, 0.2014758795416e+01, 0.7113454667900e-02,
0.6005646745452e-06, 0.3399500503397e+01, 0.4136910472696e+01,
0.7917715109929e-06, 0.2493386877837e+01, 0.6069776770667e+01,
0.7556958099685e-06, 0.4159491740143e+01, 0.6496374930224e+01,
0.6773228244949e-06, 0.4034162934230e+01, 0.9437762937313e+01,
0.5370708577847e-06, 0.1562219163734e+01, 0.1194447056968e+01,
0.5710804266203e-06, 0.2662730803386e+01, 0.6282095334605e+01,
0.5709824583726e-06, 0.3985828430833e+01, 0.6284056366286e+01,
0.5143950896447e-06, 0.1308144688689e+01, 0.6290189305114e+01,
0.5088010604546e-06, 0.5352817214804e+01, 0.6275962395778e+01,
0.4960369085172e-06, 0.2644267922349e+01, 0.6127655567643e+01,
0.4803137891183e-06, 0.4008844192080e+01, 0.6438496133249e+01,
0.5731747768225e-06, 0.3794550174597e+01, 0.3154687086868e+01,
0.4735947960579e-06, 0.6107118308982e+01, 0.3128388763578e+01,
0.4808348796625e-06, 0.4771458618163e+01, 0.8018209333619e+00,
0.4115073743137e-06, 0.3327111335159e+01, 0.8429241228195e+01,
0.5230575889287e-06, 0.5305708551694e+01, 0.1336797263425e+02,
0.5133977889215e-06, 0.5784230738814e+01, 0.1235285262111e+02,
0.5065815825327e-06, 0.2052064793679e+01, 0.1185621865188e+02,
0.4339831593868e-06, 0.3644994195830e+01, 0.1726015463500e+02,
0.3952928638953e-06, 0.4930376436758e+01, 0.5481254917084e+01,
0.4898498111942e-06, 0.4542084219731e+00, 0.9225539266174e+01,
0.4757490209328e-06, 0.3161126388878e+01, 0.5856477690889e+01,
0.4727701669749e-06, 0.6214993845446e+00, 0.2544314396739e+01,
0.3800966681863e-06, 0.3040132339297e+01, 0.4265981595566e+00,
0.3257301077939e-06, 0.8064977360087e+00, 0.3930209696940e+01,
0.3255810528674e-06, 0.1974147981034e+01, 0.2146165377750e+01,
0.3252029748187e-06, 0.2845924913135e+01, 0.4164311961999e+01,
0.3255505635308e-06, 0.3017900824120e+01, 0.5088628793478e+01,
0.2801345211990e-06, 0.6109717793179e+01, 0.1256967486051e+02,
0.3688987740970e-06, 0.2911550235289e+01, 0.1807370494127e+02,
0.2475153429458e-06, 0.2179146025856e+01, 0.2629832328990e-01,
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0.7232154664726e-08, 0.3067548981535e+01, 0.1610006857377e+03,
0.6328765494903e-08, 0.1313930030069e+01, 0.1193336791622e+02,
0.8030064908595e-08, 0.3488500408886e+01, 0.8460828644453e+00,
0.6275464259232e-08, 0.1532061626198e+01, 0.8531963191132e+00,
0.7051897446325e-08, 0.3285859929993e+01, 0.5849364236221e+01,
0.6161593705428e-08, 0.1477341999464e+01, 0.5573142801433e+01,
0.7754683957278e-08, 0.1586118663096e+01, 0.8662240327241e+01,
0.5889928990701e-08, 0.1304887868803e+01, 0.1232342296471e+02,
0.5705756047075e-08, 0.4555333589350e+01, 0.1258692712880e+02,
0.5964178808332e-08, 0.3001762842062e+01, 0.5333900173445e+01,
0.6712446027467e-08, 0.4886780007595e+01, 0.1171295538178e+02,
0.5941809275464e-08, 0.4701509603824e+01, 0.9779108567966e+01,
0.5466993627395e-08, 0.4588357817278e+01, 0.1884211409667e+02,
0.6340512090980e-08, 0.1164543038893e+01, 0.5217580628120e+02,
0.6325505710045e-08, 0.3919171259645e+01, 0.1041998632314e+02,
0.6164789509685e-08, 0.2143828253542e+01, 0.6151533897323e+01,
0.5263330812430e-08, 0.6066564434241e+01, 0.1885275071096e+02,
0.5597087780221e-08, 0.2926316429472e+01, 0.4337116142245e+00,
0.5396556236817e-08, 0.3244303591505e+01, 0.6286362197481e+01,
0.5396615148223e-08, 0.3404304703662e+01, 0.6279789503410e+01,
0.7091832443341e-08, 0.8532377803192e+00, 0.4907302013889e+01,
0.6572352589782e-08, 0.4901966774419e+01, 0.1176433076753e+02,
0.5960236060795e-08, 0.1874672315797e+01, 0.1422690933580e-01,
0.5125480043511e-08, 0.3735726064334e+01, 0.1245594543367e+02,
0.5928241866410e-08, 0.4502033899935e+01, 0.6414617803568e+01,
0.5249600357424e-08, 0.4372334799878e+01, 0.1151388321134e+02,
0.6059171276087e-08, 0.2581617302908e+01, 0.6062663316000e+01,
0.5295235081662e-08, 0.2974811513158e+01, 0.3496032717521e+01,
0.5820561875933e-08, 0.1796073748244e+00, 0.2838593341516e+00,
0.4754696606440e-08, 0.1981998136973e+01, 0.3104930017775e+01,
0.6385053548955e-08, 0.2559174171605e+00, 0.6133512519065e+01,
0.6589828273941e-08, 0.2750967106776e+01, 0.4087944051283e+02,
0.5383376567189e-08, 0.6325947523578e+00, 0.2248384854122e+02,
0.5928941683538e-08, 0.1672304519067e+01, 0.1581959461667e+01,
0.4816060709794e-08, 0.3512566172575e+01, 0.9388005868221e+01,
0.6003381586512e-08, 0.5610932219189e+01, 0.5326786718777e+01,
0.5504225393105e-08, 0.4037501131256e+01, 0.6503488384892e+01,
0.5353772620129e-08, 0.6122774968240e+01, 0.1735668374386e+03,
0.5786253768544e-08, 0.5527984999515e+01, 0.1350651127443e+00,
0.5065706702002e-08, 0.9980765573624e+00, 0.1248988586463e+02,
0.5972838885276e-08, 0.6044489493203e+01, 0.2673594526851e+02,
0.5323585877961e-08, 0.3924265998147e+01, 0.4171425416666e+01,
0.5210772682858e-08, 0.6220111376901e+01, 0.2460261242967e+02,
0.4726549040535e-08, 0.3716043206862e+01, 0.7232251527446e+01,
0.6029425105059e-08, 0.8548704071116e+00, 0.3227113045244e+03,
0.4481542826513e-08, 0.1426925072829e+01, 0.5547199253223e+01,
0.5836024505068e-08, 0.7135651752625e-01, 0.7285056171570e+02,
0.4137046613272e-08, 0.5330767643283e+01, 0.1087398597200e+02,
0.5171977473924e-08, 0.4494262335353e+00, 0.1884570439172e+02,
0.5694429833732e-08, 0.2952369582215e+01, 0.9723862754494e+02,
0.4009158925298e-08, 0.3500003416535e+01, 0.6244942932314e+01,
0.4784939596873e-08, 0.6196709413181e+01, 0.2929661536378e+02,
0.3983725022610e-08, 0.5103690031897e+01, 0.4274518229222e+01,
0.3870535232462e-08, 0.3187569587401e+01, 0.6321208768577e+01,
0.5140501213951e-08, 0.1668924357457e+01, 0.1232032006293e+02,
0.3849034819355e-08, 0.4445722510309e+01, 0.1726726808967e+02,
0.4002383075060e-08, 0.5226224152423e+01, 0.7018952447668e+01,
0.3890719543549e-08, 0.4371166550274e+01, 0.1491901785440e+02,
0.4887084607881e-08, 0.5973556689693e+01, 0.1478866649112e+01,
0.3739939287592e-08, 0.2089084714600e+01, 0.6922973089781e+01,
0.5031925918209e-08, 0.4658371936827e+01, 0.1715706182245e+02,
0.4387748764954e-08, 0.4825580552819e+01, 0.2331413144044e+03,
0.4147398098865e-08, 0.3739003524998e+01, 0.1376059875786e+02,
0.3719089993586e-08, 0.1148941386536e+01, 0.6297302759782e+01,
0.3934238461056e-08, 0.1559893008343e+01, 0.7872148766781e+01,
0.3672471375622e-08, 0.5516145383612e+01, 0.6268848941110e+01,
0.3768911277583e-08, 0.6116053700563e+01, 0.4157198507331e+01,
0.4033388417295e-08, 0.5076821746017e+01, 0.1567108171867e+02,
0.3764194617832e-08, 0.8164676232075e+00, 0.3185192151914e+01,
0.4840628226284e-08, 0.1360479453671e+01, 0.1252801878276e+02,
0.4949443923785e-08, 0.2725622229926e+01, 0.1617106187867e+03,
0.4117393089971e-08, 0.6054459628492e+00, 0.5642198095270e+01,
0.3925754020428e-08, 0.8570462135210e+00, 0.2139354194808e+02,
0.3630551757923e-08, 0.3552067338279e+01, 0.6294805223347e+01,
0.3627274802357e-08, 0.3096565085313e+01, 0.6271346477544e+01,
0.3806143885093e-08, 0.6367751709777e+00, 0.1725304118033e+02,
0.4433254641565e-08, 0.4848461503937e+01, 0.7445550607224e+01,
0.3712319846576e-08, 0.1331950643655e+01, 0.4194847048887e+00,
0.3849847534783e-08, 0.4958368297746e+00, 0.9562891316684e+00,
0.3483955430165e-08, 0.2237215515707e+01, 0.1161697602389e+02,
0.3961912730982e-08, 0.3332402188575e+01, 0.2277943724828e+02,
0.3419978244481e-08, 0.5785600576016e+01, 0.1362553364512e+02,
0.3329417758177e-08, 0.9812676559709e-01, 0.1685848245639e+02,
0.4207206893193e-08, 0.9494780468236e+00, 0.2986433403208e+02,
0.3268548976410e-08, 0.1739332095686e+00, 0.5749861718712e+01,
0.3321880082685e-08, 0.1423354800666e+01, 0.6279143387820e+01,
0.4503173010852e-08, 0.2314972675293e+00, 0.1385561574497e+01,
0.4316599090954e-08, 0.1012646782616e+00, 0.4176041334900e+01,
0.3283493323850e-08, 0.5233306881265e+01, 0.6287008313071e+01,
0.3164033542343e-08, 0.4005597257511e+01, 0.2099539292909e+02,
0.4159720956725e-08, 0.5365676242020e+01, 0.5905702259363e+01,
0.3565176892217e-08, 0.4284440620612e+01, 0.3932462625300e-02,
0.3514440950221e-08, 0.4270562636575e+01, 0.7335344340001e+01,
0.3540596871909e-08, 0.5953553201060e+01, 0.1234573916645e+02,
0.2960769905118e-08, 0.1115180417718e+01, 0.2670964694522e+02,
0.2962213739684e-08, 0.3863811918186e+01, 0.6408777551755e+00,
0.3883556700251e-08, 0.1268617928302e+01, 0.6660449441528e+01,
0.2919225516346e-08, 0.4908605223265e+01, 0.1375773836557e+01,
0.3115158863370e-08, 0.3744519976885e+01, 0.3802769619140e-01,
0.4099438144212e-08, 0.4173244670532e+01, 0.4480965020977e+02,
0.2899531858964e-08, 0.5910601428850e+01, 0.2059724391010e+02,
0.3289733429855e-08, 0.2488050078239e+01, 0.1081813534213e+02,
0.3933075612875e-08, 0.1122363652883e+01, 0.3773735910827e+00,
0.3021403764467e-08, 0.4951973724904e+01, 0.2982630633589e+02,
0.2798598949757e-08, 0.5117057845513e+01, 0.1937891852345e+02,
0.3397421302707e-08, 0.6104159180476e+01, 0.6923953605621e+01,
0.3720398002179e-08, 0.1184933429829e+01, 0.3066615496545e+02,
0.3598484186267e-08, 0.3505282086105e+01, 0.6147450479709e+01,
0.3694594027310e-08, 0.2286651088141e+01, 0.2636725487657e+01,
0.2680444152969e-08, 0.1871816775482e+00, 0.6816289982179e+01,
0.3497574865641e-08, 0.3143251755431e+01, 0.6418701221183e+01,
0.3130274129494e-08, 0.2462167316018e+01, 0.1235996607578e+02,
0.3241119069551e-08, 0.4256374004686e+01, 0.1652265972112e+02,
0.2601960842061e-08, 0.4970362941425e+01, 0.1045450126711e+02,
0.2690601527504e-08, 0.2372657824898e+01, 0.3163918923335e+00,
0.2908688152664e-08, 0.4232652627721e+01, 0.2828699048865e+02,
0.3120456131875e-08, 0.3925747001137e+00, 0.2195415756911e+02,
0.3148855423384e-08, 0.3093478330445e+01, 0.1172006883645e+02,
0.3051044261017e-08, 0.5560948248212e+01, 0.6055599646783e+01,
0.2826006876660e-08, 0.5072790310072e+01, 0.5120601093667e+01,
0.3100034191711e-08, 0.4998530231096e+01, 0.1799603123222e+02,
0.2398771640101e-08, 0.2561739802176e+01, 0.6255674361143e+01,
0.2384002842728e-08, 0.4087420284111e+01, 0.6310477339748e+01,
0.2842146517568e-08, 0.2515048217955e+01, 0.5469525544182e+01,
0.2847674371340e-08, 0.5235326497443e+01, 0.1034429499989e+02,
0.2903722140764e-08, 0.1088200795797e+01, 0.6510552054109e+01,
0.3187610710605e-08, 0.4710624424816e+01, 0.1693792562116e+03,
0.3048869992813e-08, 0.2857975896445e+00, 0.8390110365991e+01,
0.2860216950984e-08, 0.2241619020815e+01, 0.2243449970715e+00,
0.2701117683113e-08, 0.6651573305272e-01, 0.6129297044991e+01,
0.2509891590152e-08, 0.1285135324585e+01, 0.1044027435778e+02,
0.2623200252223e-08, 0.2981229834530e+00, 0.6436854655901e+01,
0.2622541669202e-08, 0.6122470726189e+01, 0.9380959548977e+01,
0.2818435667099e-08, 0.4251087148947e+01, 0.5934151399930e+01,
0.2365196797465e-08, 0.3465070460790e+01, 0.2470570524223e+02,
0.2358704646143e-08, 0.5791603815350e+01, 0.8671969964381e+01,
0.2388299481390e-08, 0.4142483772941e+01, 0.7096626156709e+01,
0.1996041217224e-08, 0.2101901889496e+01, 0.1727188400790e+02,
0.2687593060336e-08, 0.1526689456959e+01, 0.7075506709219e+02,
0.2618913670810e-08, 0.2397684236095e+01, 0.6632000300961e+01,
0.2571523050364e-08, 0.5751929456787e+00, 0.6206810014183e+01,
0.2582135006946e-08, 0.5595464352926e+01, 0.4873985990671e+02,
0.2372530190361e-08, 0.5092689490655e+01, 0.1590676413561e+02,
0.2357178484712e-08, 0.4444363527851e+01, 0.3097883698531e+01,
0.2451590394723e-08, 0.3108251687661e+01, 0.6612329252343e+00,
0.2370045949608e-08, 0.2608133861079e+01, 0.3459636466239e+02,
0.2268997267358e-08, 0.3639717753384e+01, 0.2844914056730e-01,
0.1731432137906e-08, 0.1741898445707e+00, 0.2019909489111e+02,
0.1629869741622e-08, 0.3902225646724e+01, 0.3035599730800e+02,
0.2206215801974e-08, 0.4971131250731e+01, 0.6281667977667e+01,
0.2205469554680e-08, 0.1677462357110e+01, 0.6284483723224e+01,
0.2148792362509e-08, 0.4236259604006e+01, 0.1980482729015e+02,
0.1873733657847e-08, 0.5926814998687e+01, 0.2876692439167e+02,
0.2026573758959e-08, 0.4349643351962e+01, 0.2449240616245e+02,
0.1807770325110e-08, 0.5700940482701e+01, 0.2045286941806e+02,
0.1881174408581e-08, 0.6601286363430e+00, 0.2358125818164e+02,
0.1368023671690e-08, 0.2211098592752e+01, 0.2473415438279e+02,
0.1720017916280e-08, 0.4942488551129e+01, 0.1679593901136e+03,
0.1702427665131e-08, 0.1452233856386e+01, 0.3338575901272e+03,
0.1414032510054e-08, 0.5525357721439e+01, 0.1624205518357e+03,
0.1652626045364e-08, 0.4108794283624e+01, 0.8956999012000e+02,
0.1642957769686e-08, 0.7344335209984e+00, 0.5267006960365e+02,
0.1614952403624e-08, 0.3541213951363e+01, 0.3332657872986e+02,
0.1535988291188e-08, 0.4031094072151e+01, 0.3852657435933e+02,
0.1593193738177e-08, 0.4185136203609e+01, 0.2282781046519e+03,
0.1074569126382e-08, 0.1720485636868e+01, 0.8397383534231e+02,
0.1074408214509e-08, 0.2758613420318e+01, 0.8401985929482e+02,
0.9700199670465e-09, 0.4216686842097e+01, 0.7826370942180e+02,
0.1258433517061e-08, 0.2575068876639e+00, 0.3115650189215e+03,
0.1240303229539e-08, 0.4800844956756e+00, 0.1784300471910e+03,
0.9018345948127e-09, 0.3896756361552e+00, 0.5886454391678e+02,
0.1135301432805e-08, 0.3700805023550e+00, 0.7842370451713e+02,
0.9215887951370e-09, 0.4364579276638e+01, 0.1014262087719e+03,
0.1055401054147e-08, 0.2156564222111e+01, 0.5660027930059e+02,
0.1008725979831e-08, 0.5454015785234e+01, 0.4245678405627e+02,
0.7217398104321e-09, 0.1597772562175e+01, 0.2457074661053e+03,
0.6912033134447e-09, 0.5824090621461e+01, 0.1679936946371e+03,
0.6833881523549e-09, 0.3578778482835e+01, 0.6053048899753e+02,
0.4887304205142e-09, 0.3724362812423e+01, 0.9656299901946e+02,
0.5173709754788e-09, 0.5422427507933e+01, 0.2442876000072e+03,
0.4671353097145e-09, 0.2396106924439e+01, 0.1435713242844e+03,
0.5652608439480e-09, 0.2804028838685e+01, 0.8365903305582e+02,
0.5604061331253e-09, 0.1638816006247e+01, 0.8433466158131e+02,
0.4712723365400e-09, 0.8979003224474e+00, 0.3164282286739e+03,
0.4909967465112e-09, 0.3210426725516e+01, 0.4059982187939e+03,
0.4771358267658e-09, 0.5308027211629e+01, 0.1805255418145e+03,
0.3943451445989e-09, 0.2195145341074e+01, 0.2568537517081e+03,
0.3952109120244e-09, 0.5081189491586e+01, 0.2449975330562e+03,
0.3788134594789e-09, 0.4345171264441e+01, 0.1568131045107e+03,
0.3738330190479e-09, 0.2613062847997e+01, 0.3948519331910e+03,
0.3099866678136e-09, 0.2846760817689e+01, 0.1547176098872e+03,
0.2002962716768e-09, 0.4921360989412e+01, 0.2268582385539e+03,
0.2198291338754e-09, 0.1130360117454e+00, 0.1658638954901e+03,
0.1491958330784e-09, 0.4228195232278e+01, 0.2219950288015e+03,
0.1475384076173e-09, 0.3005721811604e+00, 0.3052819430710e+03,
0.1661626624624e-09, 0.7830125621203e+00, 0.2526661704812e+03,
0.9015823460025e-10, 0.3807792942715e+01, 0.4171445043968e+03 };
/* Sun-to-Earth, T^0, Y */
static final double e0y[] = {
0.9998921098898e+00, 0.1826583913846e+00, 0.6283075850446e+01,
-0.2442700893735e-01, 0.0000000000000e+00, 0.0000000000000e+00,
0.8352929742915e-02, 0.1395277998680e+00, 0.1256615170089e+02,
0.1046697300177e-03, 0.9641423109763e-01, 0.1884922755134e+02,
0.3110841876663e-04, 0.5381140401712e+01, 0.8399684731857e+02,
0.2570269094593e-04, 0.5301016407128e+01, 0.5296909721118e+00,
0.2147389623610e-04, 0.2662510869850e+01, 0.1577343543434e+01,
0.1680344384050e-04, 0.5207904119704e+01, 0.6279552690824e+01,
0.1679117312193e-04, 0.4582187486968e+01, 0.6286599010068e+01,
0.1440512068440e-04, 0.1900688517726e+01, 0.2352866153506e+01,
0.1135139664999e-04, 0.5273108538556e+01, 0.5223693906222e+01,
0.9345482571018e-05, 0.4503047687738e+01, 0.1203646072878e+02,
0.9007418719568e-05, 0.1605621059637e+01, 0.1021328554739e+02,
0.5671536712314e-05, 0.5812849070861e+00, 0.1059381944224e+01,
0.7451401861666e-05, 0.2807346794836e+01, 0.3981490189893e+00,
0.6393470057114e-05, 0.6029224133855e+01, 0.5753384878334e+01,
0.6814275881697e-05, 0.6472990145974e+00, 0.4705732307012e+01,
0.6113705628887e-05, 0.3813843419700e+01, 0.6812766822558e+01,
0.4503851367273e-05, 0.4527804370996e+01, 0.5884926831456e+01,
0.4522249141926e-05, 0.5991783029224e+01, 0.6256777527156e+01,
0.4501794307018e-05, 0.3798703844397e+01, 0.6309374173736e+01,
0.5514927480180e-05, 0.3961257833388e+01, 0.5507553240374e+01,
0.4062862799995e-05, 0.5256247296369e+01, 0.6681224869435e+01,
0.5414900429712e-05, 0.5499032014097e+01, 0.7755226100720e+00,
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0.1651087618855e-08, 0.2538461057280e+01, 0.8956999012000e+02,
0.1616409518983e-08, 0.5111054348152e+01, 0.3332657872986e+02,
0.1537175173581e-08, 0.5601130666603e+01, 0.3852657435933e+02,
0.1593191980553e-08, 0.2614340453411e+01, 0.2282781046519e+03,
0.1499480170643e-08, 0.3624721577264e+01, 0.2823723341956e+02,
0.1493807843235e-08, 0.4214569879008e+01, 0.2876692439167e+02,
0.1074571199328e-08, 0.1496911744704e+00, 0.8397383534231e+02,
0.1074406983417e-08, 0.1187817671922e+01, 0.8401985929482e+02,
0.9757576855851e-09, 0.2655703035858e+01, 0.7826370942180e+02,
0.1258432887565e-08, 0.4969896184844e+01, 0.3115650189215e+03,
0.1240336343282e-08, 0.5192460776926e+01, 0.1784300471910e+03,
0.9016107005164e-09, 0.1960356923057e+01, 0.5886454391678e+02,
0.1135392360918e-08, 0.5082427809068e+01, 0.7842370451713e+02,
0.9216046089565e-09, 0.2793775037273e+01, 0.1014262087719e+03,
0.1061276615030e-08, 0.3726144311409e+01, 0.5660027930059e+02,
0.1010110596263e-08, 0.7404080708937e+00, 0.4245678405627e+02,
0.7217424756199e-09, 0.2697449980577e-01, 0.2457074661053e+03,
0.6912003846756e-09, 0.4253296276335e+01, 0.1679936946371e+03,
0.6871814664847e-09, 0.5148072412354e+01, 0.6053048899753e+02,
0.4887158016343e-09, 0.2153581148294e+01, 0.9656299901946e+02,
0.5161802866314e-09, 0.3852750634351e+01, 0.2442876000072e+03,
0.5652599559057e-09, 0.1233233356270e+01, 0.8365903305582e+02,
0.4710812608586e-09, 0.5610486976767e+01, 0.3164282286739e+03,
0.4909977500324e-09, 0.1639629524123e+01, 0.4059982187939e+03,
0.4772641839378e-09, 0.3737100368583e+01, 0.1805255418145e+03,
0.4487562567153e-09, 0.1158417054478e+00, 0.8433466158131e+02,
0.3943441230497e-09, 0.6243502862796e+00, 0.2568537517081e+03,
0.3952236913598e-09, 0.3510377382385e+01, 0.2449975330562e+03,
0.3788898363417e-09, 0.5916128302299e+01, 0.1568131045107e+03,
0.3738329328831e-09, 0.1042266763456e+01, 0.3948519331910e+03,
0.2451199165151e-09, 0.1166788435700e+01, 0.1435713242844e+03,
0.2436734402904e-09, 0.3254726114901e+01, 0.2268582385539e+03,
0.2213605274325e-09, 0.1687210598530e+01, 0.1658638954901e+03,
0.1491521204829e-09, 0.2657541786794e+01, 0.2219950288015e+03,
0.1474995329744e-09, 0.5013089805819e+01, 0.3052819430710e+03,
0.1661939475656e-09, 0.5495315428418e+01, 0.2526661704812e+03,
0.9015946748003e-10, 0.2236989966505e+01, 0.4171445043968e+03 };
/* Sun-to-Earth, T^0, Z */
static final double e0z[] = {
0.2796207639075e-05, 0.3198701560209e+01, 0.8433466158131e+02,
0.1016042198142e-05, 0.5422360395913e+01, 0.5507553240374e+01,
0.8044305033647e-06, 0.3880222866652e+01, 0.5223693906222e+01,
0.4385347909274e-06, 0.3704369937468e+01, 0.2352866153506e+01,
0.3186156414906e-06, 0.3999639363235e+01, 0.1577343543434e+01,
0.2272412285792e-06, 0.3984738315952e+01, 0.1047747311755e+01,
0.1645620103007e-06, 0.3565412516841e+01, 0.5856477690889e+01,
0.1815836921166e-06, 0.4984507059020e+01, 0.6283075850446e+01,
0.1447461676364e-06, 0.3702753570108e+01, 0.9437762937313e+01,
0.1430760876382e-06, 0.3409658712357e+01, 0.1021328554739e+02,
0.1120445753226e-06, 0.4829561570246e+01, 0.1414349524433e+02,
0.1090232840797e-06, 0.2080729178066e+01, 0.6812766822558e+01,
0.9715727346551e-07, 0.3476295881948e+01, 0.4694002934110e+01,
0.1036267136217e-06, 0.4056639536648e+01, 0.7109288135493e+02,
0.8752665271340e-07, 0.4448159519911e+01, 0.5753384878334e+01,
0.8331864956004e-07, 0.4991704044208e+01, 0.7084896783808e+01,
0.6901658670245e-07, 0.4325358994219e+01, 0.6275962395778e+01,
0.9144536848998e-07, 0.1141826375363e+01, 0.6620890113188e+01,
0.7205085037435e-07, 0.3624344170143e+01, 0.5296909721118e+00,
0.7697874654176e-07, 0.5554257458998e+01, 0.1676215758509e+03,
0.5197545738384e-07, 0.6251760961735e+01, 0.1807370494127e+02,
0.5031345378608e-07, 0.2497341091913e+01, 0.4705732307012e+01,
0.4527110205840e-07, 0.2335079920992e+01, 0.6309374173736e+01,
0.4753355798089e-07, 0.7094148987474e+00, 0.5884926831456e+01,
0.4296951977516e-07, 0.1101916352091e+01, 0.6681224869435e+01,
0.3855341568387e-07, 0.1825495405486e+01, 0.5486777812467e+01,
0.5253930970990e-07, 0.4424740687208e+01, 0.7860419393880e+01,
0.4024630496471e-07, 0.5120498157053e+01, 0.1336797263425e+02,
0.4061069791453e-07, 0.6029771435451e+01, 0.3930209696940e+01,
0.3797883804205e-07, 0.4435193600836e+00, 0.3154687086868e+01,
0.2933033225587e-07, 0.5124157356507e+01, 0.1059381944224e+01,
0.3503000930426e-07, 0.5421830162065e+01, 0.6069776770667e+01,
0.3670096214050e-07, 0.4582101667297e+01, 0.1219403291462e+02,
0.2905609437008e-07, 0.1926566420072e+01, 0.1097707878456e+02,
0.2466827821713e-07, 0.6090174539834e+00, 0.6496374930224e+01,
0.2691647295332e-07, 0.1393432595077e+01, 0.2200391463820e+02,
0.2150554667946e-07, 0.4308671715951e+01, 0.5643178611111e+01,
0.2237481922680e-07, 0.8133968269414e+00, 0.8635942003952e+01,
0.1817741038157e-07, 0.3755205127454e+01, 0.3340612434717e+01,
0.2227820762132e-07, 0.2759558596664e+01, 0.1203646072878e+02,
0.1944713772307e-07, 0.5699645869121e+01, 0.1179062909082e+02,
0.1527340520662e-07, 0.1986749091746e+01, 0.3981490189893e+00,
0.1577282574914e-07, 0.3205017217983e+01, 0.5088628793478e+01,
0.1424738825424e-07, 0.6256747903666e+01, 0.2544314396739e+01,
0.1616563121701e-07, 0.2601671259394e+00, 0.1729818233119e+02,
0.1401210391692e-07, 0.4686939173506e+01, 0.7058598460518e+01,
0.1488726974214e-07, 0.2815862451372e+01, 0.2593412433514e+02,
0.1692626442388e-07, 0.4956894109797e+01, 0.1564752902480e+03,
0.1123571582910e-07, 0.2381192697696e+01, 0.3738761453707e+01,
0.9903308606317e-08, 0.4294851657684e+01, 0.9225539266174e+01,
0.9174533187191e-08, 0.3075171510642e+01, 0.4164311961999e+01,
0.8645985631457e-08, 0.5477534821633e+00, 0.8429241228195e+01,
-0.1085876492688e-07, 0.0000000000000e+00, 0.0000000000000e+00,
0.9264309077815e-08, 0.5968571670097e+01, 0.7079373888424e+01,
0.8243116984954e-08, 0.1489098777643e+01, 0.1044738781244e+02,
0.8268102113708e-08, 0.3512977691983e+01, 0.1150676975667e+02,
0.9043613988227e-08, 0.1290704408221e+00, 0.1101510648075e+02,
0.7432912038789e-08, 0.1991086893337e+01, 0.2608790314060e+02,
0.8586233727285e-08, 0.4238357924414e+01, 0.2986433403208e+02,
0.7612230060131e-08, 0.2911090150166e+01, 0.4732030630302e+01,
0.7097787751408e-08, 0.1908938392390e+01, 0.8031092209206e+01,
0.7640237040175e-08, 0.6129219000168e+00, 0.7962980379786e+00,
0.7070445688081e-08, 0.1380417036651e+01, 0.2146165377750e+01,
0.7690770957702e-08, 0.1680504249084e+01, 0.2122839202813e+02,
0.8051292542594e-08, 0.5127423484511e+01, 0.2942463415728e+01,
0.5902709104515e-08, 0.2020274190917e+01, 0.7755226100720e+00,
0.5134567496462e-08, 0.2606778676418e+01, 0.1256615170089e+02,
0.5525802046102e-08, 0.1613011769663e+01, 0.8018209333619e+00,
0.5880724784221e-08, 0.4604483417236e+01, 0.4690479774488e+01,
0.5211699081370e-08, 0.5718964114193e+01, 0.8827390247185e+01,
0.4891849573562e-08, 0.3689658932196e+01, 0.2132990797783e+00,
0.5150246069997e-08, 0.4099769855122e+01, 0.6480980550449e+02,
0.5102434319633e-08, 0.5660834602509e+01, 0.3379454372902e+02,
0.5083405254252e-08, 0.9842221218974e+00, 0.4136910472696e+01,
0.4206562585682e-08, 0.1341363634163e+00, 0.3128388763578e+01,
0.4663249683579e-08, 0.8130132735866e+00, 0.5216580451554e+01,
0.4099474416530e-08, 0.5791497770644e+01, 0.4265981595566e+00,
0.4628251220767e-08, 0.1249802769331e+01, 0.1572083878776e+02,
0.5024068728142e-08, 0.4795684802743e+01, 0.6290189305114e+01,
0.5120234327758e-08, 0.3810420387208e+01, 0.5230807360890e+01,
0.5524029815280e-08, 0.1029264714351e+01, 0.2397622045175e+03,
0.4757415718860e-08, 0.3528044781779e+01, 0.1649636139783e+02,
0.3915786131127e-08, 0.5593889282646e+01, 0.1589072916335e+01,
0.4869053149991e-08, 0.3299636454433e+01, 0.7632943190217e+01,
0.3649365703729e-08, 0.1286049002584e+01, 0.6206810014183e+01,
0.3992493949002e-08, 0.3100307589464e+01, 0.2515860172507e+02,
0.3320247477418e-08, 0.6212683940807e+01, 0.1216800268190e+02,
0.3287123739696e-08, 0.4699118445928e+01, 0.7234794171227e+01,
0.3472776811103e-08, 0.2630507142004e+01, 0.7342457794669e+01,
0.3423253294767e-08, 0.2946432844305e+01, 0.9623688285163e+01,
0.3896173898244e-08, 0.1224834179264e+01, 0.6438496133249e+01,
0.3388455337924e-08, 0.1543807616351e+01, 0.1494531617769e+02,
0.3062704716523e-08, 0.1191777572310e+01, 0.8662240327241e+01,
0.3270075600400e-08, 0.5483498767737e+01, 0.1194447056968e+01,
0.3101209215259e-08, 0.8000833804348e+00, 0.3772475342596e+02,
0.2780883347311e-08, 0.4077980721888e+00, 0.5863591145557e+01,
0.2903605931824e-08, 0.2617490302147e+01, 0.1965104848470e+02,
0.2682014743119e-08, 0.2634703158290e+01, 0.7238675589263e+01,
0.2534360108492e-08, 0.6102446114873e+01, 0.6836645152238e+01,
0.2392564882509e-08, 0.3681820208691e+01, 0.5849364236221e+01,
0.2656667254856e-08, 0.6216045388886e+01, 0.6133512519065e+01,
0.2331242096773e-08, 0.5864949777744e+01, 0.4535059491685e+01,
0.2287898363668e-08, 0.4566628532802e+01, 0.7477522907414e+01,
0.2336944521306e-08, 0.2442722126930e+01, 0.1137170464392e+02,
0.3156632236269e-08, 0.1626628050682e+01, 0.2509084901204e+03,
0.2982612402766e-08, 0.2803604512609e+01, 0.1748016358760e+01,
0.2774031674807e-08, 0.4654002897158e+01, 0.8223916695780e+02,
0.2295236548638e-08, 0.4326518333253e+01, 0.3378142627421e+00,
0.2190714699873e-08, 0.4519614578328e+01, 0.2908881142201e+02,
0.2191495845045e-08, 0.3012626912549e+01, 0.1673046366289e+02,
0.2492901628386e-08, 0.1290101424052e+00, 0.1543797956245e+03,
0.1993778064319e-08, 0.3864046799414e+01, 0.1778984560711e+02,
0.1898146479022e-08, 0.5053777235891e+01, 0.2042657109477e+02,
0.1918280127634e-08, 0.2222470192548e+01, 0.4165496312290e+02,
0.1916351061607e-08, 0.8719067257774e+00, 0.7737595720538e+02,
0.1834720181466e-08, 0.4031491098040e+01, 0.2358125818164e+02,
0.1249201523806e-08, 0.5938379466835e+01, 0.3301902111895e+02,
0.1477304050539e-08, 0.6544722606797e+00, 0.9548094718417e+02,
0.1264316431249e-08, 0.2059072853236e+01, 0.8399684731857e+02,
0.1203526495039e-08, 0.3644813532605e+01, 0.4558517281984e+02,
0.9221681059831e-09, 0.3241815055602e+01, 0.7805158573086e+02,
0.7849278367646e-09, 0.5043812342457e+01, 0.5217580628120e+02,
0.7983392077387e-09, 0.5000024502753e+01, 0.1501922143975e+03,
0.7925395431654e-09, 0.1398734871821e-01, 0.9061773743175e+02,
0.7640473285886e-09, 0.5067111723130e+01, 0.4951538251678e+02,
0.5398937754482e-09, 0.5597382200075e+01, 0.1613385000004e+03,
0.5626247550193e-09, 0.2601338209422e+01, 0.7318837597844e+02,
0.5525197197855e-09, 0.5814832109256e+01, 0.1432335100216e+03,
0.5407629837898e-09, 0.3384820609076e+01, 0.3230491187871e+03,
0.3856739119801e-09, 0.1072391840473e+01, 0.2334791286671e+03,
0.3856425239987e-09, 0.2369540393327e+01, 0.1739046517013e+03,
0.4350867755983e-09, 0.5255575751082e+01, 0.1620484330494e+03,
0.3844113924996e-09, 0.5482356246182e+01, 0.9757644180768e+02,
0.2854869155431e-09, 0.9573634763143e+00, 0.1697170704744e+03,
0.1719227671416e-09, 0.1887203025202e+01, 0.2265204242912e+03,
0.1527846879755e-09, 0.3982183931157e+01, 0.3341954043900e+03,
0.1128229264847e-09, 0.2787457156298e+01, 0.3119028331842e+03 };
/* Sun-to-Earth, T^1, X */
static final double e1x[] = {
0.1234046326004e-05, 0.0000000000000e+00, 0.0000000000000e+00,
0.5150068824701e-06, 0.6002664557501e+01, 0.1256615170089e+02,
0.1290743923245e-07, 0.5959437664199e+01, 0.1884922755134e+02,
0.1068615564952e-07, 0.2015529654209e+01, 0.6283075850446e+01,
0.2079619142538e-08, 0.1732960531432e+01, 0.6279552690824e+01,
0.2078009243969e-08, 0.4915604476996e+01, 0.6286599010068e+01,
0.6206330058856e-09, 0.3616457953824e+00, 0.4705732307012e+01,
0.5989335313746e-09, 0.3802607304474e+01, 0.6256777527156e+01,
0.5958495663840e-09, 0.2845866560031e+01, 0.6309374173736e+01,
0.4866923261539e-09, 0.5213203771824e+01, 0.7755226100720e+00,
0.4267785823142e-09, 0.4368189727818e+00, 0.1059381944224e+01,
0.4610675141648e-09, 0.1837249181372e-01, 0.7860419393880e+01,
0.3626989993973e-09, 0.2161590545326e+01, 0.5753384878334e+01,
0.3563071194389e-09, 0.1452631954746e+01, 0.5884926831456e+01,
0.3557015642807e-09, 0.4470593393054e+01, 0.6812766822558e+01,
0.3210412089122e-09, 0.5195926078314e+01, 0.6681224869435e+01,
0.2875473577986e-09, 0.5916256610193e+01, 0.2513230340178e+02,
0.2842913681629e-09, 0.1149902426047e+01, 0.6127655567643e+01,
0.2751248215916e-09, 0.5502088574662e+01, 0.6438496133249e+01,
0.2481432881127e-09, 0.2921989846637e+01, 0.5486777812467e+01,
0.2059885976560e-09, 0.3718070376585e+01, 0.7079373888424e+01,
0.2015522342591e-09, 0.5979395259740e+01, 0.6290189305114e+01,
0.1995364084253e-09, 0.6772087985494e+00, 0.6275962395778e+01,
0.1957436436943e-09, 0.2899210654665e+01, 0.5507553240374e+01,
0.1651609818948e-09, 0.6228206482192e+01, 0.1150676975667e+02,
0.1822980550699e-09, 0.1469348746179e+01, 0.1179062909082e+02,
0.1675223159760e-09, 0.3813910555688e+01, 0.7058598460518e+01,
0.1706491764745e-09, 0.3004380506684e+00, 0.7113454667900e-02,
0.1392952362615e-09, 0.1440393973406e+01, 0.7962980379786e+00,
0.1209868266342e-09, 0.4150425791727e+01, 0.4694002934110e+01,
0.1009827202611e-09, 0.3290040429843e+01, 0.3738761453707e+01,
0.1047261388602e-09, 0.4229590090227e+01, 0.6282095334605e+01,
0.1047006652004e-09, 0.2418967680575e+01, 0.6284056366286e+01,
0.9609993143095e-10, 0.4627943659201e+01, 0.6069776770667e+01,
0.9590900593873e-10, 0.1894393939924e+01, 0.4136910472696e+01,
0.9146249188071e-10, 0.2010647519562e+01, 0.6496374930224e+01,
0.8545274480290e-10, 0.5529846956226e-01, 0.1194447056968e+01,
0.8224377881194e-10, 0.1254304102174e+01, 0.1589072916335e+01,
0.6183529510410e-10, 0.3360862168815e+01, 0.8827390247185e+01,
0.6259255147141e-10, 0.4755628243179e+01, 0.8429241228195e+01,
0.5539291694151e-10, 0.5371746955142e+01, 0.4933208510675e+01,
0.7328259466314e-10, 0.4927699613906e+00, 0.4535059491685e+01,
0.6017835843560e-10, 0.5776682001734e-01, 0.1255903824622e+02,
0.7079827775243e-10, 0.4395059432251e+01, 0.5088628793478e+01,
0.5170358878213e-10, 0.5154062619954e+01, 0.1176985366291e+02,
0.4872301838682e-10, 0.6289611648973e+00, 0.6040347114260e+01,
0.5249869411058e-10, 0.5617272046949e+01, 0.3154687086868e+01,
0.4716172354411e-10, 0.3965901800877e+01, 0.5331357529664e+01,
0.4871214940964e-10, 0.4627507050093e+01, 0.1256967486051e+02,
0.4598076850751e-10, 0.6023631226459e+01, 0.6525804586632e+01,
0.4562196089485e-10, 0.4138562084068e+01, 0.3930209696940e+01,
0.4325493872224e-10, 0.1330845906564e+01, 0.7632943190217e+01,
0.5673781176748e-10, 0.2558752615657e+01, 0.5729506548653e+01,
0.3961436642503e-10, 0.2728071734630e+01, 0.7234794171227e+01,
0.5101868209058e-10, 0.4113444965144e+01, 0.6836645152238e+01,
0.5257043167676e-10, 0.6195089830590e+01, 0.8031092209206e+01,
0.5076613989393e-10, 0.2305124132918e+01, 0.7477522907414e+01,
0.3342169352778e-10, 0.5415998155071e+01, 0.1097707878456e+02,
0.3545881983591e-10, 0.3727160564574e+01, 0.4164311961999e+01,
0.3364063738599e-10, 0.2901121049204e+00, 0.1137170464392e+02,
0.3357039670776e-10, 0.1652229354331e+01, 0.5223693906222e+01,
0.4307412268687e-10, 0.4938909587445e+01, 0.1592596075957e+01,
0.3405769115435e-10, 0.2408890766511e+01, 0.3128388763578e+01,
0.3001926198480e-10, 0.4862239006386e+01, 0.1748016358760e+01,
0.2778264787325e-10, 0.5241168661353e+01, 0.7342457794669e+01,
0.2676159480666e-10, 0.3423593942199e+01, 0.2146165377750e+01,
0.2954273399939e-10, 0.1881721265406e+01, 0.5368044267797e+00,
0.3309362888795e-10, 0.1931525677349e+01, 0.8018209333619e+00,
0.2810283608438e-10, 0.2414659495050e+01, 0.5225775174439e+00,
0.3378045637764e-10, 0.4238019163430e+01, 0.1554202828031e+00,
0.2558134979840e-10, 0.1828225235805e+01, 0.5230807360890e+01,
0.2273755578447e-10, 0.5858184283998e+01, 0.7084896783808e+01,
0.2294176037690e-10, 0.4514589779057e+01, 0.1726015463500e+02,
0.2533506099435e-10, 0.2355717851551e+01, 0.5216580451554e+01,
0.2716685375812e-10, 0.2221003625100e+01, 0.8635942003952e+01,
0.2419043435198e-10, 0.5955704951635e+01, 0.4690479774488e+01,
0.2521232544812e-10, 0.1395676848521e+01, 0.5481254917084e+01,
0.2630195021491e-10, 0.5727468918743e+01, 0.2629832328990e-01,
0.2548395840944e-10, 0.2628351859400e-03, 0.1349867339771e+01 };
/* Sun-to-Earth, T^1, Y */
static final double e1y[] = {
0.9304690546528e-06, 0.0000000000000e+00, 0.0000000000000e+00,
0.5150715570663e-06, 0.4431807116294e+01, 0.1256615170089e+02,
0.1290825411056e-07, 0.4388610039678e+01, 0.1884922755134e+02,
0.4645466665386e-08, 0.5827263376034e+01, 0.6283075850446e+01,
0.2079625310718e-08, 0.1621698662282e+00, 0.6279552690824e+01,
0.2078189850907e-08, 0.3344713435140e+01, 0.6286599010068e+01,
0.6207190138027e-09, 0.5074049319576e+01, 0.4705732307012e+01,
0.5989826532569e-09, 0.2231842216620e+01, 0.6256777527156e+01,
0.5961360812618e-09, 0.1274975769045e+01, 0.6309374173736e+01,
0.4874165471016e-09, 0.3642277426779e+01, 0.7755226100720e+00,
0.4283834034360e-09, 0.5148765510106e+01, 0.1059381944224e+01,
0.4652389287529e-09, 0.4715794792175e+01, 0.7860419393880e+01,
0.3751707476401e-09, 0.6617207370325e+00, 0.5753384878334e+01,
0.3559998806198e-09, 0.6155548875404e+01, 0.5884926831456e+01,
0.3558447558857e-09, 0.2898827297664e+01, 0.6812766822558e+01,
0.3211116927106e-09, 0.3625813502509e+01, 0.6681224869435e+01,
0.2875609914672e-09, 0.4345435813134e+01, 0.2513230340178e+02,
0.2843109704069e-09, 0.5862263940038e+01, 0.6127655567643e+01,
0.2744676468427e-09, 0.3926419475089e+01, 0.6438496133249e+01,
0.2481285237789e-09, 0.1351976572828e+01, 0.5486777812467e+01,
0.2060338481033e-09, 0.2147556998591e+01, 0.7079373888424e+01,
0.2015822358331e-09, 0.4408358972216e+01, 0.6290189305114e+01,
0.2001195944195e-09, 0.5385829822531e+01, 0.6275962395778e+01,
0.1953667642377e-09, 0.1304933746120e+01, 0.5507553240374e+01,
0.1839744078713e-09, 0.6173567228835e+01, 0.1179062909082e+02,
0.1643334294845e-09, 0.4635942997523e+01, 0.1150676975667e+02,
0.1768051018652e-09, 0.5086283558874e+01, 0.7113454667900e-02,
0.1674874205489e-09, 0.2243332137241e+01, 0.7058598460518e+01,
0.1421445397609e-09, 0.6186899771515e+01, 0.7962980379786e+00,
0.1255163958267e-09, 0.5730238465658e+01, 0.4694002934110e+01,
0.1013945281961e-09, 0.1726055228402e+01, 0.3738761453707e+01,
0.1047294335852e-09, 0.2658801228129e+01, 0.6282095334605e+01,
0.1047103879392e-09, 0.8481047835035e+00, 0.6284056366286e+01,
0.9530343962826e-10, 0.3079267149859e+01, 0.6069776770667e+01,
0.9604637611690e-10, 0.3258679792918e+00, 0.4136910472696e+01,
0.9153518537177e-10, 0.4398599886584e+00, 0.6496374930224e+01,
0.8562458214922e-10, 0.4772686794145e+01, 0.1194447056968e+01,
0.8232525360654e-10, 0.5966220721679e+01, 0.1589072916335e+01,
0.6150223411438e-10, 0.1780985591923e+01, 0.8827390247185e+01,
0.6272087858000e-10, 0.3184305429012e+01, 0.8429241228195e+01,
0.5540476311040e-10, 0.3801260595433e+01, 0.4933208510675e+01,
0.7331901699361e-10, 0.5205948591865e+01, 0.4535059491685e+01,
0.6018528702791e-10, 0.4770139083623e+01, 0.1255903824622e+02,
0.5150530724804e-10, 0.3574796899585e+01, 0.1176985366291e+02,
0.6471933741811e-10, 0.2679787266521e+01, 0.5088628793478e+01,
0.5317460644174e-10, 0.9528763345494e+00, 0.3154687086868e+01,
0.4832187748783e-10, 0.5329322498232e+01, 0.6040347114260e+01,
0.4716763555110e-10, 0.2395235316466e+01, 0.5331357529664e+01,
0.4871509139861e-10, 0.3056663648823e+01, 0.1256967486051e+02,
0.4598417696768e-10, 0.4452762609019e+01, 0.6525804586632e+01,
0.5674189533175e-10, 0.9879680872193e+00, 0.5729506548653e+01,
0.4073560328195e-10, 0.5939127696986e+01, 0.7632943190217e+01,
0.5040994945359e-10, 0.4549875824510e+01, 0.8031092209206e+01,
0.5078185134679e-10, 0.7346659893982e+00, 0.7477522907414e+01,
0.3769343537061e-10, 0.1071317188367e+01, 0.7234794171227e+01,
0.4980331365299e-10, 0.2500345341784e+01, 0.6836645152238e+01,
0.3458236594757e-10, 0.3825159450711e+01, 0.1097707878456e+02,
0.3578859493602e-10, 0.5299664791549e+01, 0.4164311961999e+01,
0.3370504646419e-10, 0.5002316301593e+01, 0.1137170464392e+02,
0.3299873338428e-10, 0.2526123275282e+01, 0.3930209696940e+01,
0.4304917318409e-10, 0.3368078557132e+01, 0.1592596075957e+01,
0.3402418753455e-10, 0.8385495425800e+00, 0.3128388763578e+01,
0.2778460572146e-10, 0.3669905203240e+01, 0.7342457794669e+01,
0.2782710128902e-10, 0.2691664812170e+00, 0.1748016358760e+01,
0.2711725179646e-10, 0.4707487217718e+01, 0.5296909721118e+00,
0.2981760946340e-10, 0.3190260867816e+00, 0.5368044267797e+00,
0.2811672977772e-10, 0.3196532315372e+01, 0.7084896783808e+01,
0.2863454474467e-10, 0.2263240324780e+00, 0.5223693906222e+01,
0.3333464634051e-10, 0.3498451685065e+01, 0.8018209333619e+00,
0.3312991747609e-10, 0.5839154477412e+01, 0.1554202828031e+00,
0.2813255564006e-10, 0.8268044346621e+00, 0.5225775174439e+00,
0.2665098083966e-10, 0.3934021725360e+01, 0.5216580451554e+01,
0.2349795705216e-10, 0.5197620913779e+01, 0.2146165377750e+01,
0.2330352293961e-10, 0.2984999231807e+01, 0.1726015463500e+02,
0.2728001683419e-10, 0.6521679638544e+00, 0.8635942003952e+01,
0.2484061007669e-10, 0.3468955561097e+01, 0.5230807360890e+01,
0.2646328768427e-10, 0.1013724533516e+01, 0.2629832328990e-01,
0.2518630264831e-10, 0.6108081057122e+01, 0.5481254917084e+01,
0.2421901455384e-10, 0.1651097776260e+01, 0.1349867339771e+01,
0.6348533267831e-11, 0.3220226560321e+01, 0.8433466158131e+02 };
/* Sun-to-Earth, T^1, Z */
static final double e1z[] = {
0.2278290449966e-05, 0.3413716033863e+01, 0.6283075850446e+01,
0.5429458209830e-07, 0.0000000000000e+00, 0.0000000000000e+00,
0.1903240492525e-07, 0.3370592358297e+01, 0.1256615170089e+02,
0.2385409276743e-09, 0.3327914718416e+01, 0.1884922755134e+02,
0.8676928342573e-10, 0.1824006811264e+01, 0.5223693906222e+01,
0.7765442593544e-10, 0.3888564279247e+01, 0.5507553240374e+01,
0.7066158332715e-10, 0.5194267231944e+01, 0.2352866153506e+01,
0.7092175288657e-10, 0.2333246960021e+01, 0.8399684731857e+02,
0.5357582213535e-10, 0.2224031176619e+01, 0.5296909721118e+00,
0.3828035865021e-10, 0.2156710933584e+01, 0.6279552690824e+01,
0.3824857220427e-10, 0.1529755219915e+01, 0.6286599010068e+01,
0.3286995181628e-10, 0.4879512900483e+01, 0.1021328554739e+02 };
/* Sun-to-Earth, T^2, X */
static final double e2x[] = {
-0.4143818297913e-10, 0.0000000000000e+00, 0.0000000000000e+00,
0.2171497694435e-10, 0.4398225628264e+01, 0.1256615170089e+02,
0.9845398442516e-11, 0.2079720838384e+00, 0.6283075850446e+01,
0.9256833552682e-12, 0.4191264694361e+01, 0.1884922755134e+02,
0.1022049384115e-12, 0.5381133195658e+01, 0.8399684731857e+02 };
/* Sun-to-Earth, T^2, Y */
static final double e2y[] = {
0.5063375872532e-10, 0.0000000000000e+00, 0.0000000000000e+00,
0.2173815785980e-10, 0.2827805833053e+01, 0.1256615170089e+02,
0.1010231999920e-10, 0.4634612377133e+01, 0.6283075850446e+01,
0.9259745317636e-12, 0.2620612076189e+01, 0.1884922755134e+02,
0.1022202095812e-12, 0.3809562326066e+01, 0.8399684731857e+02 };
/* Sun-to-Earth, T^2, Z */
static final double e2z[] = {
0.9722666114891e-10, 0.5152219582658e+01, 0.6283075850446e+01,
-0.3494819171909e-11, 0.0000000000000e+00, 0.0000000000000e+00,
0.6713034376076e-12, 0.6440188750495e+00, 0.1256615170089e+02 };
}
//subclassed the
private static class SSB {
/* SSB-to-Sun, T^0, X */
static final double s0x[] = {
0.4956757536410e-02, 0.3741073751789e+01, 0.5296909721118e+00,
0.2718490072522e-02, 0.4016011511425e+01, 0.2132990797783e+00,
0.1546493974344e-02, 0.2170528330642e+01, 0.3813291813120e-01,
0.8366855276341e-03, 0.2339614075294e+01, 0.7478166569050e-01,
0.2936777942117e-03, 0.0000000000000e+00, 0.0000000000000e+00,
0.1201317439469e-03, 0.4090736353305e+01, 0.1059381944224e+01,
0.7578550887230e-04, 0.3241518088140e+01, 0.4265981595566e+00,
0.1941787367773e-04, 0.1012202064330e+01, 0.2061856251104e+00,
0.1889227765991e-04, 0.3892520416440e+01, 0.2204125344462e+00,
0.1937896968613e-04, 0.4797779441161e+01, 0.1495633313810e+00,
0.1434506110873e-04, 0.3868960697933e+01, 0.5225775174439e+00,
0.1406659911580e-04, 0.4759766557397e+00, 0.5368044267797e+00,
0.1179022300202e-04, 0.7774961520598e+00, 0.7626583626240e-01,
0.8085864460959e-05, 0.3254654471465e+01, 0.3664874755930e-01,
0.7622752967615e-05, 0.4227633103489e+01, 0.3961708870310e-01,
0.6209171139066e-05, 0.2791828325711e+00, 0.7329749511860e-01,
0.4366435633970e-05, 0.4440454875925e+01, 0.1589072916335e+01,
0.3792124889348e-05, 0.5156393842356e+01, 0.7113454667900e-02,
0.3154548963402e-05, 0.6157005730093e+01, 0.4194847048887e+00,
0.3088359882942e-05, 0.2494567553163e+01, 0.6398972393349e+00,
0.2788440902136e-05, 0.4934318747989e+01, 0.1102062672231e+00,
0.3039928456376e-05, 0.4895077702640e+01, 0.6283075850446e+01,
0.2272258457679e-05, 0.5278394064764e+01, 0.1030928125552e+00,
0.2162007057957e-05, 0.5802978019099e+01, 0.3163918923335e+00,
0.1767632855737e-05, 0.3415346595193e-01, 0.1021328554739e+02,
0.1349413459362e-05, 0.2001643230755e+01, 0.1484170571900e-02,
0.1170141900476e-05, 0.2424750491620e+01, 0.6327837846670e+00,
0.1054355266820e-05, 0.3123311487576e+01, 0.4337116142245e+00,
0.9800822461610e-06, 0.3026258088130e+01, 0.1052268489556e+01,
0.1091203749931e-05, 0.3157811670347e+01, 0.1162474756779e+01,
0.6960236715913e-06, 0.8219570542313e+00, 0.1066495398892e+01,
0.5689257296909e-06, 0.1323052375236e+01, 0.9491756770005e+00,
0.6613172135802e-06, 0.2765348881598e+00, 0.8460828644453e+00,
0.6277702517571e-06, 0.5794064466382e+01, 0.1480791608091e+00,
0.6304884066699e-06, 0.7323555380787e+00, 0.2243449970715e+00,
0.4897850467382e-06, 0.3062464235399e+01, 0.3340612434717e+01,
0.3759148598786e-06, 0.4588290469664e+01, 0.3516457698740e-01,
0.3110520548195e-06, 0.1374299536572e+01, 0.6373574839730e-01,
0.3064708359780e-06, 0.4222267485047e+01, 0.1104591729320e-01,
0.2856347168241e-06, 0.3714202944973e+01, 0.1510475019529e+00,
0.2840945514288e-06, 0.2847972875882e+01, 0.4110125927500e-01,
0.2378951599405e-06, 0.3762072563388e+01, 0.2275259891141e+00,
0.2714229481417e-06, 0.1036049980031e+01, 0.2535050500000e-01,
0.2323551717307e-06, 0.4682388599076e+00, 0.8582758298370e-01,
0.1881790512219e-06, 0.4790565425418e+01, 0.2118763888447e+01,
0.2261353968371e-06, 0.1669144912212e+01, 0.7181332454670e-01,
0.2214546389848e-06, 0.3937717281614e+01, 0.2968341143800e-02,
0.2184915594933e-06, 0.1129169845099e+00, 0.7775000683430e-01,
0.2000164937936e-06, 0.4030009638488e+01, 0.2093666171530e+00,
0.1966105136719e-06, 0.8745955786834e+00, 0.2172315424036e+00,
0.1904742332624e-06, 0.5919743598964e+01, 0.2022531624851e+00,
0.1657399705031e-06, 0.2549141484884e+01, 0.7358765972222e+00,
0.1574070533987e-06, 0.5277533020230e+01, 0.7429900518901e+00,
0.1832261651039e-06, 0.3064688127777e+01, 0.3235053470014e+00,
0.1733615346569e-06, 0.3011432799094e+01, 0.1385174140878e+00,
0.1549124014496e-06, 0.4005569132359e+01, 0.5154640627760e+00,
0.1637044713838e-06, 0.1831375966632e+01, 0.8531963191132e+00,
0.1123420082383e-06, 0.1180270407578e+01, 0.1990721704425e+00,
0.1083754165740e-06, 0.3414101320863e+00, 0.5439178814476e+00,
0.1156638012655e-06, 0.6130479452594e+00, 0.5257585094865e+00,
0.1142548785134e-06, 0.3724761948846e+01, 0.5336234347371e+00,
0.7921463895965e-07, 0.2435425589361e+01, 0.1478866649112e+01,
0.7428600285231e-07, 0.3542144398753e+01, 0.2164800718209e+00,
0.8323211246747e-07, 0.3525058072354e+01, 0.1692165728891e+01,
0.7257595116312e-07, 0.1364299431982e+01, 0.2101180877357e+00,
0.7111185833236e-07, 0.2460478875808e+01, 0.4155522422634e+00,
0.6868090383716e-07, 0.4397327670704e+01, 0.1173197218910e+00,
0.7226419974175e-07, 0.4042647308905e+01, 0.1265567569334e+01,
0.6955642383177e-07, 0.2865047906085e+01, 0.9562891316684e+00,
0.7492139296331e-07, 0.5014278994215e+01, 0.1422690933580e-01,
0.6598363128857e-07, 0.2376730020492e+01, 0.6470106940028e+00,
0.7381147293385e-07, 0.3272990384244e+01, 0.1581959461667e+01,
0.6402909624032e-07, 0.5302290955138e+01, 0.9597935788730e-01,
0.6237454263857e-07, 0.5444144425332e+01, 0.7084920306520e-01,
0.5241198544016e-07, 0.4215359579205e+01, 0.5265099800692e+00,
0.5144463853918e-07, 0.1218916689916e+00, 0.5328719641544e+00,
0.5868164772299e-07, 0.2369402002213e+01, 0.7871412831580e-01,
0.6233195669151e-07, 0.1254922242403e+01, 0.2608790314060e+02,
0.6068463791422e-07, 0.5679713760431e+01, 0.1114304132498e+00,
0.4359361135065e-07, 0.6097219641646e+00, 0.1375773836557e+01,
0.4686510366826e-07, 0.4786231041431e+01, 0.1143987543936e+00,
0.3758977287225e-07, 0.1167368068139e+01, 0.1596186371003e+01,
0.4282051974778e-07, 0.1519471064319e+01, 0.2770348281756e+00,
0.5153765386113e-07, 0.1860532322984e+01, 0.2228608264996e+00,
0.4575129387188e-07, 0.7632857887158e+00, 0.1465949902372e+00,
0.3326844933286e-07, 0.1298219485285e+01, 0.5070101000000e-01,
0.3748617450984e-07, 0.1046510321062e+01, 0.4903339079539e+00,
0.2816756661499e-07, 0.3434522346190e+01, 0.2991266627620e+00,
0.3412750405039e-07, 0.2523766270318e+01, 0.3518164938661e+00,
0.2655796761776e-07, 0.2904422260194e+01, 0.6256703299991e+00,
0.2963597929458e-07, 0.5923900431149e+00, 0.1099462426779e+00,
0.2539523734781e-07, 0.4851947722567e+01, 0.1256615170089e+02,
0.2283087914139e-07, 0.3400498595496e+01, 0.6681224869435e+01,
0.2321309799331e-07, 0.5789099148673e+01, 0.3368040641550e-01,
0.2549657649750e-07, 0.3991856479792e-01, 0.1169588211447e+01,
0.2290462303977e-07, 0.2788567577052e+01, 0.1045155034888e+01,
0.1945398522914e-07, 0.3290896998176e+01, 0.1155361302111e+01,
0.1849171512638e-07, 0.2698060129367e+01, 0.4452511715700e-02,
0.1647199834254e-07, 0.3016735644085e+01, 0.4408250688924e+00,
0.1529530765273e-07, 0.5573043116178e+01, 0.6521991896920e-01,
0.1433199339978e-07, 0.1481192356147e+01, 0.9420622223326e+00,
0.1729134193602e-07, 0.1422817538933e+01, 0.2108507877249e+00,
0.1716463931346e-07, 0.3469468901855e+01, 0.2157473718317e+00,
0.1391206061378e-07, 0.6122436220547e+01, 0.4123712502208e+00,
0.1404746661924e-07, 0.1647765641936e+01, 0.4258542984690e-01,
0.1410452399455e-07, 0.5989729161964e+01, 0.2258291676434e+00,
0.1089828772168e-07, 0.2833705509371e+01, 0.4226656969313e+00,
0.1047374564948e-07, 0.5090690007331e+00, 0.3092784376656e+00,
0.1358279126532e-07, 0.5128990262836e+01, 0.7923417740620e-01,
0.1020456476148e-07, 0.9632772880808e+00, 0.1456308687557e+00,
0.1033428735328e-07, 0.3223779318418e+01, 0.1795258541446e+01,
0.1412435841540e-07, 0.2410271572721e+01, 0.1525316725248e+00,
0.9722759371574e-08, 0.2333531395690e+01, 0.8434341241180e-01,
0.9657334084704e-08, 0.6199270974168e+01, 0.1272681024002e+01,
0.1083641148690e-07, 0.2864222292929e+01, 0.7032915397480e-01,
0.1067318403838e-07, 0.5833458866568e+00, 0.2123349582968e+00,
0.1062366201976e-07, 0.4307753989494e+01, 0.2142632012598e+00,
0.1236364149266e-07, 0.2873917870593e+01, 0.1847279083684e+00,
0.1092759489593e-07, 0.2959887266733e+01, 0.1370332435159e+00,
0.8912069362899e-08, 0.5141213702562e+01, 0.2648454860559e+01,
0.9656467707970e-08, 0.4532182462323e+01, 0.4376440768498e+00,
0.8098386150135e-08, 0.2268906338379e+01, 0.2880807454688e+00,
0.7857714675000e-08, 0.4055544260745e+01, 0.2037373330570e+00,
0.7288455940646e-08, 0.5357901655142e+01, 0.1129145838217e+00,
0.9450595950552e-08, 0.4264926963939e+01, 0.5272426800584e+00,
0.9381718247537e-08, 0.7489366976576e-01, 0.5321392641652e+00,
0.7079052646038e-08, 0.1923311052874e+01, 0.6288513220417e+00,
0.9259004415344e-08, 0.2970256853438e+01, 0.1606092486742e+00,
0.8259801499742e-08, 0.3327056314697e+01, 0.8389694097774e+00,
0.6476334355779e-08, 0.2954925505727e+01, 0.2008557621224e+01,
0.5984021492007e-08, 0.9138753105829e+00, 0.2042657109477e+02,
0.5989546863181e-08, 0.3244464082031e+01, 0.2111650433779e+01,
0.6233108606023e-08, 0.4995232638403e+00, 0.4305306221819e+00,
0.6877299149965e-08, 0.2834987233449e+01, 0.9561746721300e-02,
0.8311234227190e-08, 0.2202951835758e+01, 0.3801276407308e+00,
0.6599472832414e-08, 0.4478581462618e+01, 0.1063314406849e+01,
0.6160491096549e-08, 0.5145858696411e+01, 0.1368660381889e+01,
0.6164772043891e-08, 0.3762976697911e+00, 0.4234171675140e+00,
0.6363248684450e-08, 0.3162246718685e+01, 0.1253008786510e-01,
0.6448587520999e-08, 0.3442693302119e+01, 0.5287268506303e+00,
0.6431662283977e-08, 0.8977549136606e+00, 0.5306550935933e+00,
0.6351223158474e-08, 0.4306447410369e+01, 0.5217580628120e+02,
0.5476721393451e-08, 0.3888529177855e+01, 0.2221856701002e+01,
0.5341772572619e-08, 0.2655560662512e+01, 0.7466759693650e-01,
0.5337055758302e-08, 0.5164990735946e+01, 0.7489573444450e-01,
0.5373120816787e-08, 0.6041214553456e+01, 0.1274714967946e+00,
0.5392351705426e-08, 0.9177763485932e+00, 0.1055449481598e+01,
0.6688495850205e-08, 0.3089608126937e+01, 0.2213766559277e+00,
0.5072003660362e-08, 0.4311316541553e+01, 0.2132517061319e+00,
0.5070726650455e-08, 0.5790675464444e+00, 0.2133464534247e+00,
0.5658012950032e-08, 0.2703945510675e+01, 0.7287631425543e+00,
0.4835509924854e-08, 0.2975422976065e+01, 0.7160067364790e-01,
0.6479821978012e-08, 0.1324168733114e+01, 0.2209183458640e-01,
0.6230636494980e-08, 0.2860103632836e+01, 0.3306188016693e+00,
0.4649239516213e-08, 0.4832259763403e+01, 0.7796265773310e-01,
0.6487325792700e-08, 0.2726165825042e+01, 0.3884652414254e+00,
0.4682823682770e-08, 0.6966602455408e+00, 0.1073608853559e+01,
0.5704230804976e-08, 0.5669634104606e+01, 0.8731175355560e-01,
0.6125413585489e-08, 0.1513386538915e+01, 0.7605151500000e-01,
0.6035825038187e-08, 0.1983509168227e+01, 0.9846002785331e+00,
0.4331123462303e-08, 0.2782892992807e+01, 0.4297791515992e+00,
0.4681107685143e-08, 0.5337232886836e+01, 0.2127790306879e+00,
0.4669105829655e-08, 0.5837133792160e+01, 0.2138191288687e+00,
0.5138823602365e-08, 0.3080560200507e+01, 0.7233337363710e-01,
0.4615856664534e-08, 0.1661747897471e+01, 0.8603097737811e+00,
0.4496916702197e-08, 0.2112508027068e+01, 0.7381754420900e-01,
0.4278479042945e-08, 0.5716528462627e+01, 0.7574578717200e-01,
0.3840525503932e-08, 0.6424172726492e+00, 0.3407705765729e+00,
0.4866636509685e-08, 0.4919244697715e+01, 0.7722995774390e-01,
0.3526100639296e-08, 0.2550821052734e+01, 0.6225157782540e-01,
0.3939558488075e-08, 0.3939331491710e+01, 0.5268983110410e-01,
0.4041268772576e-08, 0.2275337571218e+01, 0.3503323232942e+00,
0.3948761842853e-08, 0.1999324200790e+01, 0.1451108196653e+00,
0.3258394550029e-08, 0.9121001378200e+00, 0.5296435984654e+00,
0.3257897048761e-08, 0.3428428660869e+01, 0.5297383457582e+00,
0.3842559031298e-08, 0.6132927720035e+01, 0.9098186128426e+00,
0.3109920095448e-08, 0.7693650193003e+00, 0.3932462625300e-02,
0.3132237775119e-08, 0.3621293854908e+01, 0.2346394437820e+00,
0.3942189421510e-08, 0.4841863659733e+01, 0.3180992042600e-02,
0.3796972285340e-08, 0.1814174994268e+01, 0.1862120789403e+00,
0.3995640233688e-08, 0.1386990406091e+01, 0.4549093064213e+00,
0.2875013727414e-08, 0.9178318587177e+00, 0.1905464808669e+01,
0.3073719932844e-08, 0.2688923811835e+01, 0.3628624111593e+00,
0.2731016580075e-08, 0.1188259127584e+01, 0.2131850110243e+00,
0.2729549896546e-08, 0.3702160634273e+01, 0.2134131485323e+00,
0.3339372892449e-08, 0.7199163960331e+00, 0.2007689919132e+00,
0.2898833764204e-08, 0.1916709364999e+01, 0.5291709230214e+00,
0.2894536549362e-08, 0.2424043195547e+01, 0.5302110212022e+00,
0.3096872473843e-08, 0.4445894977497e+01, 0.2976424921901e+00,
0.2635672326810e-08, 0.3814366984117e+01, 0.1485980103780e+01,
0.3649302697001e-08, 0.2924200596084e+01, 0.6044726378023e+00,
0.3127954585895e-08, 0.1842251648327e+01, 0.1084620721060e+00,
0.2616040173947e-08, 0.4155841921984e+01, 0.1258454114666e+01,
0.2597395859860e-08, 0.1158045978874e+00, 0.2103781122809e+00,
0.2593286172210e-08, 0.4771850408691e+01, 0.2162200472757e+00,
0.2481823585747e-08, 0.4608842558889e+00, 0.1062562936266e+01,
0.2742219550725e-08, 0.1538781127028e+01, 0.5651155736444e+00,
0.3199558469610e-08, 0.3226647822878e+00, 0.7036329877322e+00,
0.2666088542957e-08, 0.1967991731219e+00, 0.1400015846597e+00,
0.2397067430580e-08, 0.3707036669873e+01, 0.2125476091956e+00,
0.2376570772738e-08, 0.1182086628042e+01, 0.2140505503610e+00,
0.2547228007887e-08, 0.4906256820629e+01, 0.1534957940063e+00,
0.2265575594114e-08, 0.3414949866857e+01, 0.2235935264888e+00,
0.2464381430585e-08, 0.4599122275378e+01, 0.2091065926078e+00,
0.2433408527044e-08, 0.2830751145445e+00, 0.2174915669488e+00,
0.2443605509076e-08, 0.4212046432538e+01, 0.1739420156204e+00,
0.2319779262465e-08, 0.9881978408630e+00, 0.7530171478090e-01,
0.2284622835465e-08, 0.5565347331588e+00, 0.7426161660010e-01,
0.2467268750783e-08, 0.5655708150766e+00, 0.2526561439362e+00,
0.2808513492782e-08, 0.1418405053408e+01, 0.5636314030725e+00,
0.2329528932532e-08, 0.4069557545675e+01, 0.1056200952181e+01,
0.9698639532817e-09, 0.1074134313634e+01, 0.7826370942180e+02 };
/* SSB-to-Sun, T^0, Y */
static final double s0y[] = {
0.4955392320126e-02, 0.2170467313679e+01, 0.5296909721118e+00,
0.2722325167392e-02, 0.2444433682196e+01, 0.2132990797783e+00,
0.1546579925346e-02, 0.5992779281546e+00, 0.3813291813120e-01,
0.8363140252966e-03, 0.7687356310801e+00, 0.7478166569050e-01,
0.3385792683603e-03, 0.0000000000000e+00, 0.0000000000000e+00,
0.1201192221613e-03, 0.2520035601514e+01, 0.1059381944224e+01,
0.7587125720554e-04, 0.1669954006449e+01, 0.4265981595566e+00,
0.1964155361250e-04, 0.5707743963343e+01, 0.2061856251104e+00,
0.1891900364909e-04, 0.2320960679937e+01, 0.2204125344462e+00,
0.1937373433356e-04, 0.3226940689555e+01, 0.1495633313810e+00,
0.1437139941351e-04, 0.2301626908096e+01, 0.5225775174439e+00,
0.1406267683099e-04, 0.5188579265542e+01, 0.5368044267797e+00,
0.1178703080346e-04, 0.5489483248476e+01, 0.7626583626240e-01,
0.8079835186041e-05, 0.1683751835264e+01, 0.3664874755930e-01,
0.7623253594652e-05, 0.2656400462961e+01, 0.3961708870310e-01,
0.6248667483971e-05, 0.4992775362055e+01, 0.7329749511860e-01,
0.4366353695038e-05, 0.2869706279678e+01, 0.1589072916335e+01,
0.3829101568895e-05, 0.3572131359950e+01, 0.7113454667900e-02,
0.3175733773908e-05, 0.4535372530045e+01, 0.4194847048887e+00,
0.3092437902159e-05, 0.9230153317909e+00, 0.6398972393349e+00,
0.2874168812154e-05, 0.3363143761101e+01, 0.1102062672231e+00,
0.3040119321826e-05, 0.3324250895675e+01, 0.6283075850446e+01,
0.2699723308006e-05, 0.2917882441928e+00, 0.1030928125552e+00,
0.2134832683534e-05, 0.4220997202487e+01, 0.3163918923335e+00,
0.1770412139433e-05, 0.4747318496462e+01, 0.1021328554739e+02,
0.1377264209373e-05, 0.4305058462401e+00, 0.1484170571900e-02,
0.1127814538960e-05, 0.8538177240740e+00, 0.6327837846670e+00,
0.1055608090130e-05, 0.1551800742580e+01, 0.4337116142245e+00,
0.9802673861420e-06, 0.1459646735377e+01, 0.1052268489556e+01,
0.1090329461951e-05, 0.1587351228711e+01, 0.1162474756779e+01,
0.6959590025090e-06, 0.5534442628766e+01, 0.1066495398892e+01,
0.5664914529542e-06, 0.6030673003297e+01, 0.9491756770005e+00,
0.6607787763599e-06, 0.4989507233927e+01, 0.8460828644453e+00,
0.6269725742838e-06, 0.4222951804572e+01, 0.1480791608091e+00,
0.6301889697863e-06, 0.5444316669126e+01, 0.2243449970715e+00,
0.4891042662861e-06, 0.1490552839784e+01, 0.3340612434717e+01,
0.3457083123290e-06, 0.3030475486049e+01, 0.3516457698740e-01,
0.3032559967314e-06, 0.2652038793632e+01, 0.1104591729320e-01,
0.2841133988903e-06, 0.1276744786829e+01, 0.4110125927500e-01,
0.2855564444432e-06, 0.2143368674733e+01, 0.1510475019529e+00,
0.2765157135038e-06, 0.5444186109077e+01, 0.6373574839730e-01,
0.2382312465034e-06, 0.2190521137593e+01, 0.2275259891141e+00,
0.2808060365077e-06, 0.5735195064841e+01, 0.2535050500000e-01,
0.2332175234405e-06, 0.9481985524859e-01, 0.7181332454670e-01,
0.2322488199659e-06, 0.5180499361533e+01, 0.8582758298370e-01,
0.1881850258423e-06, 0.3219788273885e+01, 0.2118763888447e+01,
0.2196111392808e-06, 0.2366941159761e+01, 0.2968341143800e-02,
0.2183810335519e-06, 0.4825445110915e+01, 0.7775000683430e-01,
0.2002733093326e-06, 0.2457148995307e+01, 0.2093666171530e+00,
0.1967111767229e-06, 0.5586291545459e+01, 0.2172315424036e+00,
0.1568473250543e-06, 0.3708003123320e+01, 0.7429900518901e+00,
0.1852528314300e-06, 0.4310638151560e+01, 0.2022531624851e+00,
0.1832111226447e-06, 0.1494665322656e+01, 0.3235053470014e+00,
0.1746805502310e-06, 0.1451378500784e+01, 0.1385174140878e+00,
0.1555730966650e-06, 0.1068040418198e+01, 0.7358765972222e+00,
0.1554883462559e-06, 0.2442579035461e+01, 0.5154640627760e+00,
0.1638380568746e-06, 0.2597913420625e+00, 0.8531963191132e+00,
0.1159938593640e-06, 0.5834512021280e+01, 0.1990721704425e+00,
0.1083427965695e-06, 0.5054033177950e+01, 0.5439178814476e+00,
0.1156480369431e-06, 0.5325677432457e+01, 0.5257585094865e+00,
0.1141308860095e-06, 0.2153403923857e+01, 0.5336234347371e+00,
0.7913146470946e-07, 0.8642846847027e+00, 0.1478866649112e+01,
0.7439752463733e-07, 0.1970628496213e+01, 0.2164800718209e+00,
0.7280277104079e-07, 0.6073307250609e+01, 0.2101180877357e+00,
0.8319567719136e-07, 0.1954371928334e+01, 0.1692165728891e+01,
0.7137705549290e-07, 0.8904989440909e+00, 0.4155522422634e+00,
0.6900825396225e-07, 0.2825717714977e+01, 0.1173197218910e+00,
0.7245757216635e-07, 0.2481677513331e+01, 0.1265567569334e+01,
0.6961165696255e-07, 0.1292955312978e+01, 0.9562891316684e+00,
0.7571804456890e-07, 0.3427517575069e+01, 0.1422690933580e-01,
0.6605425721904e-07, 0.8052192701492e+00, 0.6470106940028e+00,
0.7375477357248e-07, 0.1705076390088e+01, 0.1581959461667e+01,
0.7041664951470e-07, 0.4848356967891e+00, 0.9597935788730e-01,
0.6322199535763e-07, 0.3878069473909e+01, 0.7084920306520e-01,
0.5244380279191e-07, 0.2645560544125e+01, 0.5265099800692e+00,
0.5143125704988e-07, 0.4834486101370e+01, 0.5328719641544e+00,
0.5871866319373e-07, 0.7981472548900e+00, 0.7871412831580e-01,
0.6300822573871e-07, 0.5979398788281e+01, 0.2608790314060e+02,
0.6062154271548e-07, 0.4108655402756e+01, 0.1114304132498e+00,
0.4361912339976e-07, 0.5322624319280e+01, 0.1375773836557e+01,
0.4417005920067e-07, 0.6240817359284e+01, 0.2770348281756e+00,
0.4686806749936e-07, 0.3214977301156e+01, 0.1143987543936e+00,
0.3758892132305e-07, 0.5879809634765e+01, 0.1596186371003e+01,
0.5151351332319e-07, 0.2893377688007e+00, 0.2228608264996e+00,
0.4554683578572e-07, 0.5475427144122e+01, 0.1465949902372e+00,
0.3442381385338e-07, 0.5992034796640e+01, 0.5070101000000e-01,
0.2831093954933e-07, 0.5367350273914e+01, 0.3092784376656e+00,
0.3756267090084e-07, 0.5758171285420e+01, 0.4903339079539e+00,
0.2816374679892e-07, 0.1863718700923e+01, 0.2991266627620e+00,
0.3419307025569e-07, 0.9524347534130e+00, 0.3518164938661e+00,
0.2904250494239e-07, 0.5304471615602e+01, 0.1099462426779e+00,
0.2471734511206e-07, 0.1297069793530e+01, 0.6256703299991e+00,
0.2539620831872e-07, 0.3281126083375e+01, 0.1256615170089e+02,
0.2281017868007e-07, 0.1829122133165e+01, 0.6681224869435e+01,
0.2275319473335e-07, 0.5797198160181e+01, 0.3932462625300e-02,
0.2547755368442e-07, 0.4752697708330e+01, 0.1169588211447e+01,
0.2285979669317e-07, 0.1223205292886e+01, 0.1045155034888e+01,
0.1913386560994e-07, 0.1757532993389e+01, 0.1155361302111e+01,
0.1809020525147e-07, 0.4246116108791e+01, 0.3368040641550e-01,
0.1649213300201e-07, 0.1445162890627e+01, 0.4408250688924e+00,
0.1834972793932e-07, 0.1126917567225e+01, 0.4452511715700e-02,
0.1439550648138e-07, 0.6160756834764e+01, 0.9420622223326e+00,
0.1487645457041e-07, 0.4358761931792e+01, 0.4123712502208e+00,
0.1731729516660e-07, 0.6134456753344e+01, 0.2108507877249e+00,
0.1717747163567e-07, 0.1898186084455e+01, 0.2157473718317e+00,
0.1418190430374e-07, 0.4180286741266e+01, 0.6521991896920e-01,
0.1404844134873e-07, 0.7654053565412e-01, 0.4258542984690e-01,
0.1409842846538e-07, 0.4418612420312e+01, 0.2258291676434e+00,
0.1090948346291e-07, 0.1260615686131e+01, 0.4226656969313e+00,
0.1357577323612e-07, 0.3558248818690e+01, 0.7923417740620e-01,
0.1018154061960e-07, 0.5676087241256e+01, 0.1456308687557e+00,
0.1412073972109e-07, 0.8394392632422e+00, 0.1525316725248e+00,
0.1030938326496e-07, 0.1653593274064e+01, 0.1795258541446e+01,
0.1180081567104e-07, 0.1285802592036e+01, 0.7032915397480e-01,
0.9708510575650e-08, 0.7631889488106e+00, 0.8434341241180e-01,
0.9637689663447e-08, 0.4630642649176e+01, 0.1272681024002e+01,
0.1068910429389e-07, 0.5294934032165e+01, 0.2123349582968e+00,
0.1063716179336e-07, 0.2736266800832e+01, 0.2142632012598e+00,
0.1234858713814e-07, 0.1302891146570e+01, 0.1847279083684e+00,
0.8912631189738e-08, 0.3570415993621e+01, 0.2648454860559e+01,
0.1036378285534e-07, 0.4236693440949e+01, 0.1370332435159e+00,
0.9667798501561e-08, 0.2960768892398e+01, 0.4376440768498e+00,
0.8108314201902e-08, 0.6987781646841e+00, 0.2880807454688e+00,
0.7648364324628e-08, 0.2499017863863e+01, 0.2037373330570e+00,
0.7286136828406e-08, 0.3787426951665e+01, 0.1129145838217e+00,
0.9448237743913e-08, 0.2694354332983e+01, 0.5272426800584e+00,
0.9374276106428e-08, 0.4787121277064e+01, 0.5321392641652e+00,
0.7100226287462e-08, 0.3530238792101e+00, 0.6288513220417e+00,
0.9253056659571e-08, 0.1399478925664e+01, 0.1606092486742e+00,
0.6636432145504e-08, 0.3479575438447e+01, 0.1368660381889e+01,
0.6469975312932e-08, 0.1383669964800e+01, 0.2008557621224e+01,
0.7335849729765e-08, 0.1243698166898e+01, 0.9561746721300e-02,
0.8743421205855e-08, 0.3776164289301e+01, 0.3801276407308e+00,
0.5993635744494e-08, 0.5627122113596e+01, 0.2042657109477e+02,
0.5981008479693e-08, 0.1674336636752e+01, 0.2111650433779e+01,
0.6188535145838e-08, 0.5214925208672e+01, 0.4305306221819e+00,
0.6596074017566e-08, 0.2907653268124e+01, 0.1063314406849e+01,
0.6630815126226e-08, 0.2127643669658e+01, 0.8389694097774e+00,
0.6156772830040e-08, 0.5082160803295e+01, 0.4234171675140e+00,
0.6446960563014e-08, 0.1872100916905e+01, 0.5287268506303e+00,
0.6429324424668e-08, 0.5610276103577e+01, 0.5306550935933e+00,
0.6302232396465e-08, 0.1592152049607e+01, 0.1253008786510e-01,
0.6399244436159e-08, 0.2746214421532e+01, 0.5217580628120e+02,
0.5474965172558e-08, 0.2317666374383e+01, 0.2221856701002e+01,
0.5339293190692e-08, 0.1084724961156e+01, 0.7466759693650e-01,
0.5334733683389e-08, 0.3594106067745e+01, 0.7489573444450e-01,
0.5392665782110e-08, 0.5630254365606e+01, 0.1055449481598e+01,
0.6682075673789e-08, 0.1518480041732e+01, 0.2213766559277e+00,
0.5079130495960e-08, 0.2739765115711e+01, 0.2132517061319e+00,
0.5077759793261e-08, 0.5290711290094e+01, 0.2133464534247e+00,
0.4832037368310e-08, 0.1404473217200e+01, 0.7160067364790e-01,
0.6463279674802e-08, 0.6038381695210e+01, 0.2209183458640e-01,
0.6240592771560e-08, 0.1290170653666e+01, 0.3306188016693e+00,
0.4672013521493e-08, 0.3261895939677e+01, 0.7796265773310e-01,
0.6500650750348e-08, 0.1154522312095e+01, 0.3884652414254e+00,
0.6344161389053e-08, 0.6206111545062e+01, 0.7605151500000e-01,
0.4682518370646e-08, 0.5409118796685e+01, 0.1073608853559e+01,
0.5329460015591e-08, 0.1202985784864e+01, 0.7287631425543e+00,
0.5701588675898e-08, 0.4098715257064e+01, 0.8731175355560e-01,
0.6030690867211e-08, 0.4132033218460e+00, 0.9846002785331e+00,
0.4336256312655e-08, 0.1211415991827e+01, 0.4297791515992e+00,
0.4688498808975e-08, 0.3765479072409e+01, 0.2127790306879e+00,
0.4675578609335e-08, 0.4265540037226e+01, 0.2138191288687e+00,
0.4225578112158e-08, 0.5237566010676e+01, 0.3407705765729e+00,
0.5139422230028e-08, 0.1507173079513e+01, 0.7233337363710e-01,
0.4619995093571e-08, 0.9023957449848e-01, 0.8603097737811e+00,
0.4494776255461e-08, 0.5414930552139e+00, 0.7381754420900e-01,
0.4274026276788e-08, 0.4145735303659e+01, 0.7574578717200e-01,
0.5018141789353e-08, 0.3344408829055e+01, 0.3180992042600e-02,
0.4866163952181e-08, 0.3348534657607e+01, 0.7722995774390e-01,
0.4111986020501e-08, 0.4198823597220e+00, 0.1451108196653e+00,
0.3356142784950e-08, 0.5609144747180e+01, 0.1274714967946e+00,
0.4070575554551e-08, 0.7028411059224e+00, 0.3503323232942e+00,
0.3257451857278e-08, 0.5624697983086e+01, 0.5296435984654e+00,
0.3256973703026e-08, 0.1857842076707e+01, 0.5297383457582e+00,
0.3830771508640e-08, 0.4562887279931e+01, 0.9098186128426e+00,
0.3725024005962e-08, 0.2358058692652e+00, 0.1084620721060e+00,
0.3136763921756e-08, 0.2049731526845e+01, 0.2346394437820e+00,
0.3795147256194e-08, 0.2432356296933e+00, 0.1862120789403e+00,
0.2877342229911e-08, 0.5631101279387e+01, 0.1905464808669e+01,
0.3076931798805e-08, 0.1117615737392e+01, 0.3628624111593e+00,
0.2734765945273e-08, 0.5899826516955e+01, 0.2131850110243e+00,
0.2733405296885e-08, 0.2130562964070e+01, 0.2134131485323e+00,
0.2898552353410e-08, 0.3462387048225e+00, 0.5291709230214e+00,
0.2893736103681e-08, 0.8534352781543e+00, 0.5302110212022e+00,
0.3095717734137e-08, 0.2875061429041e+01, 0.2976424921901e+00,
0.2636190425832e-08, 0.2242512846659e+01, 0.1485980103780e+01,
0.3645512095537e-08, 0.1354016903958e+01, 0.6044726378023e+00,
0.2808173547723e-08, 0.6705114365631e-01, 0.6225157782540e-01,
0.2625012866888e-08, 0.4775705748482e+01, 0.5268983110410e-01,
0.2572233995651e-08, 0.2638924216139e+01, 0.1258454114666e+01,
0.2604238824792e-08, 0.4826358927373e+01, 0.2103781122809e+00,
0.2596886385239e-08, 0.3200388483118e+01, 0.2162200472757e+00,
0.3228057304264e-08, 0.5384848409563e+01, 0.2007689919132e+00,
0.2481601798252e-08, 0.5173373487744e+01, 0.1062562936266e+01,
0.2745977498864e-08, 0.6250966149853e+01, 0.5651155736444e+00,
0.2669878833811e-08, 0.4906001352499e+01, 0.1400015846597e+00,
0.3203986611711e-08, 0.5034333010005e+01, 0.7036329877322e+00,
0.3354961227212e-08, 0.6108262423137e+01, 0.4549093064213e+00,
0.2400407324558e-08, 0.2135399294955e+01, 0.2125476091956e+00,
0.2379905859802e-08, 0.5893721933961e+01, 0.2140505503610e+00,
0.2550844302187e-08, 0.3331940762063e+01, 0.1534957940063e+00,
0.2268824211001e-08, 0.1843418461035e+01, 0.2235935264888e+00,
0.2464700891204e-08, 0.3029548547230e+01, 0.2091065926078e+00,
0.2436814726024e-08, 0.4994717970364e+01, 0.2174915669488e+00,
0.2443623894745e-08, 0.2645102591375e+01, 0.1739420156204e+00,
0.2318701783838e-08, 0.5700547397897e+01, 0.7530171478090e-01,
0.2284448700256e-08, 0.5268898905872e+01, 0.7426161660010e-01,
0.2468848123510e-08, 0.5276280575078e+01, 0.2526561439362e+00,
0.2814052350303e-08, 0.6130168623475e+01, 0.5636314030725e+00,
0.2243662755220e-08, 0.6631692457995e+00, 0.8886590321940e-01,
0.2330795855941e-08, 0.2499435487702e+01, 0.1056200952181e+01,
0.9757679038404e-09, 0.5796846023126e+01, 0.7826370942180e+02 };
/* SSB-to-Sun, T^0, Z */
static final double s0z[] = {
0.1181255122986e-03, 0.4607918989164e+00, 0.2132990797783e+00,
0.1127777651095e-03, 0.4169146331296e+00, 0.5296909721118e+00,
0.4777754401806e-04, 0.4582657007130e+01, 0.3813291813120e-01,
0.1129354285772e-04, 0.5758735142480e+01, 0.7478166569050e-01,
-0.1149543637123e-04, 0.0000000000000e+00, 0.0000000000000e+00,
0.3298730512306e-05, 0.5978801994625e+01, 0.4265981595566e+00,
0.2733376706079e-05, 0.7665413691040e+00, 0.1059381944224e+01,
0.9426389657270e-06, 0.3710201265838e+01, 0.2061856251104e+00,
0.8187517749552e-06, 0.3390675605802e+00, 0.2204125344462e+00,
0.4080447871819e-06, 0.4552296640088e+00, 0.5225775174439e+00,
0.3169973017028e-06, 0.3445455899321e+01, 0.5368044267797e+00,
0.2438098615549e-06, 0.5664675150648e+01, 0.3664874755930e-01,
0.2601897517235e-06, 0.1931894095697e+01, 0.1495633313810e+00,
0.2314558080079e-06, 0.3666319115574e+00, 0.3961708870310e-01,
0.1962549548002e-06, 0.3167411699020e+01, 0.7626583626240e-01,
0.2180518287925e-06, 0.1544420746580e+01, 0.7113454667900e-02,
0.1451382442868e-06, 0.1583756740070e+01, 0.1102062672231e+00,
0.1358439007389e-06, 0.5239941758280e+01, 0.6398972393349e+00,
0.1050585898028e-06, 0.2266958352859e+01, 0.3163918923335e+00,
0.1050029870186e-06, 0.2711495250354e+01, 0.4194847048887e+00,
0.9934920679800e-07, 0.1116208151396e+01, 0.1589072916335e+01,
0.1048395331560e-06, 0.3408619600206e+01, 0.1021328554739e+02,
0.8370147196668e-07, 0.3810459401087e+01, 0.2535050500000e-01,
0.7989856510998e-07, 0.3769910473647e+01, 0.7329749511860e-01,
0.5441221655233e-07, 0.2416994903374e+01, 0.1030928125552e+00,
0.4610812906784e-07, 0.5858503336994e+01, 0.4337116142245e+00,
0.3923022803444e-07, 0.3354170010125e+00, 0.1484170571900e-02,
0.2610725582128e-07, 0.5410600646324e+01, 0.6327837846670e+00,
0.2455279767721e-07, 0.6120216681403e+01, 0.1162474756779e+01,
0.2375530706525e-07, 0.6055443426143e+01, 0.1052268489556e+01,
0.1782967577553e-07, 0.3146108708004e+01, 0.8460828644453e+00,
0.1581687095238e-07, 0.6255496089819e+00, 0.3340612434717e+01,
0.1594657672461e-07, 0.3782604300261e+01, 0.1066495398892e+01,
0.1563448615040e-07, 0.1997775733196e+01, 0.2022531624851e+00,
0.1463624258525e-07, 0.1736316792088e+00, 0.3516457698740e-01,
0.1331585056673e-07, 0.4331941830747e+01, 0.9491756770005e+00,
0.1130634557637e-07, 0.6152017751825e+01, 0.2968341143800e-02,
0.1028949607145e-07, 0.2101792614637e+00, 0.2275259891141e+00,
0.1024074971618e-07, 0.4071833211074e+01, 0.5070101000000e-01,
0.8826956060303e-08, 0.4861633688145e+00, 0.2093666171530e+00,
0.8572230171541e-08, 0.5268190724302e+01, 0.4110125927500e-01,
0.7649332643544e-08, 0.5134543417106e+01, 0.2608790314060e+02,
0.8581673291033e-08, 0.2920218146681e+01, 0.1480791608091e+00,
0.8430589300938e-08, 0.3604576619108e+01, 0.2172315424036e+00,
0.7776165501012e-08, 0.3772942249792e+01, 0.6373574839730e-01,
0.8311070234408e-08, 0.6200412329888e+01, 0.3235053470014e+00,
0.6927365212582e-08, 0.4543353113437e+01, 0.8531963191132e+00,
0.6791574208598e-08, 0.2882188406238e+01, 0.7181332454670e-01,
0.5593100811839e-08, 0.1776646892780e+01, 0.7429900518901e+00,
0.4553381853021e-08, 0.3949617611240e+01, 0.7775000683430e-01,
0.5758000450068e-08, 0.3859251775075e+01, 0.1990721704425e+00,
0.4281283457133e-08, 0.1466294631206e+01, 0.2118763888447e+01,
0.4206935661097e-08, 0.5421776011706e+01, 0.1104591729320e-01,
0.4213751641837e-08, 0.3412048993322e+01, 0.2243449970715e+00,
0.5310506239878e-08, 0.5421641370995e+00, 0.5154640627760e+00,
0.3827450341320e-08, 0.8887314524995e+00, 0.1510475019529e+00,
0.4292435241187e-08, 0.1405043757194e+01, 0.1422690933580e-01,
0.3189780702289e-08, 0.1060049293445e+01, 0.1173197218910e+00,
0.3226611928069e-08, 0.6270858897442e+01, 0.2164800718209e+00,
0.2893897608830e-08, 0.5117563223301e+01, 0.6470106940028e+00,
0.3239852024578e-08, 0.4079092237983e+01, 0.2101180877357e+00,
0.2956892222200e-08, 0.1594917021704e+01, 0.3092784376656e+00,
0.2980177912437e-08, 0.5258787667564e+01, 0.4155522422634e+00,
0.3163725690776e-08, 0.3854589225479e+01, 0.8582758298370e-01,
0.2662262399118e-08, 0.3561326430187e+01, 0.5257585094865e+00,
0.2766689135729e-08, 0.3180732086830e+00, 0.1385174140878e+00,
0.2411600278464e-08, 0.3324798335058e+01, 0.5439178814476e+00,
0.2483527695131e-08, 0.4169069291947e+00, 0.5336234347371e+00,
0.7788777276590e-09, 0.1900569908215e+01, 0.5217580628120e+02 };
/* SSB-to-Sun, T^1, X */
static final double s1x[] = {
-0.1296310361520e-07, 0.0000000000000e+00, 0.0000000000000e+00,
0.8975769009438e-08, 0.1128891609250e+01, 0.4265981595566e+00,
0.7771113441307e-08, 0.2706039877077e+01, 0.2061856251104e+00,
0.7538303866642e-08, 0.2191281289498e+01, 0.2204125344462e+00,
0.6061384579336e-08, 0.3248167319958e+01, 0.1059381944224e+01,
0.5726994235594e-08, 0.5569981398610e+01, 0.5225775174439e+00,
0.5616492836424e-08, 0.5057386614909e+01, 0.5368044267797e+00,
0.1010881584769e-08, 0.3473577116095e+01, 0.7113454667900e-02,
0.7259606157626e-09, 0.3651858593665e+00, 0.6398972393349e+00,
0.8755095026935e-09, 0.1662835408338e+01, 0.4194847048887e+00,
0.5370491182812e-09, 0.1327673878077e+01, 0.4337116142245e+00,
0.5743773887665e-09, 0.4250200846687e+01, 0.2132990797783e+00,
0.4408103140300e-09, 0.3598752574277e+01, 0.1589072916335e+01,
0.3101892374445e-09, 0.4887822983319e+01, 0.1052268489556e+01,
0.3209453713578e-09, 0.9702272295114e+00, 0.5296909721118e+00,
0.3017228286064e-09, 0.5484462275949e+01, 0.1066495398892e+01,
0.3200700038601e-09, 0.2846613338643e+01, 0.1495633313810e+00,
0.2137637279911e-09, 0.5692163292729e+00, 0.3163918923335e+00,
0.1899686386727e-09, 0.2061077157189e+01, 0.2275259891141e+00,
0.1401994545308e-09, 0.4177771136967e+01, 0.1102062672231e+00,
0.1578057810499e-09, 0.5782460597335e+01, 0.7626583626240e-01,
0.1237713253351e-09, 0.5705900866881e+01, 0.5154640627760e+00,
0.1313076837395e-09, 0.5163438179576e+01, 0.3664874755930e-01,
0.1184963304860e-09, 0.3054804427242e+01, 0.6327837846670e+00,
0.1238130878565e-09, 0.2317292575962e+01, 0.3961708870310e-01,
0.1015959527736e-09, 0.2194643645526e+01, 0.7329749511860e-01,
0.9017954423714e-10, 0.2868603545435e+01, 0.1990721704425e+00,
0.8668024955603e-10, 0.4923849675082e+01, 0.5439178814476e+00,
0.7756083930103e-10, 0.3014334135200e+01, 0.9491756770005e+00,
0.7536503401741e-10, 0.2704886279769e+01, 0.1030928125552e+00,
0.5483308679332e-10, 0.6010983673799e+01, 0.8531963191132e+00,
0.5184339620428e-10, 0.1952704573291e+01, 0.2093666171530e+00,
0.5108658712030e-10, 0.2958575786649e+01, 0.2172315424036e+00,
0.5019424524650e-10, 0.1736317621318e+01, 0.2164800718209e+00,
0.4909312625978e-10, 0.3167216416257e+01, 0.2101180877357e+00,
0.4456638901107e-10, 0.7697579923471e+00, 0.3235053470014e+00,
0.4227030350925e-10, 0.3490910137928e+01, 0.6373574839730e-01,
0.4095456040093e-10, 0.5178888984491e+00, 0.6470106940028e+00,
0.4990537041422e-10, 0.3323887668974e+01, 0.1422690933580e-01,
0.4321170010845e-10, 0.4288484987118e+01, 0.7358765972222e+00,
0.3544072091802e-10, 0.6021051579251e+01, 0.5265099800692e+00,
0.3480198638687e-10, 0.4600027054714e+01, 0.5328719641544e+00,
0.3440287244435e-10, 0.4349525970742e+01, 0.8582758298370e-01,
0.3330628322713e-10, 0.2347391505082e+01, 0.1104591729320e-01,
0.2973060707184e-10, 0.4789409286400e+01, 0.5257585094865e+00,
0.2932606766089e-10, 0.5831693799927e+01, 0.5336234347371e+00,
0.2876972310953e-10, 0.2692638514771e+01, 0.1173197218910e+00,
0.2827488278556e-10, 0.2056052487960e+01, 0.2022531624851e+00,
0.2515028239756e-10, 0.7411863262449e+00, 0.9597935788730e-01,
0.2853033744415e-10, 0.3948481024894e+01, 0.2118763888447e+01 };
/* SSB-to-Sun, T^1, Y */
static final double s1y[] = {
0.8989047573576e-08, 0.5840593672122e+01, 0.4265981595566e+00,
0.7815938401048e-08, 0.1129664707133e+01, 0.2061856251104e+00,
0.7550926713280e-08, 0.6196589104845e+00, 0.2204125344462e+00,
0.6056556925895e-08, 0.1677494667846e+01, 0.1059381944224e+01,
0.5734142698204e-08, 0.4000920852962e+01, 0.5225775174439e+00,
0.5614341822459e-08, 0.3486722577328e+01, 0.5368044267797e+00,
0.1028678147656e-08, 0.1877141024787e+01, 0.7113454667900e-02,
0.7270792075266e-09, 0.5077167301739e+01, 0.6398972393349e+00,
0.8734141726040e-09, 0.9069550282609e-01, 0.4194847048887e+00,
0.5377371402113e-09, 0.6039381844671e+01, 0.4337116142245e+00,
0.4729719431571e-09, 0.2153086311760e+01, 0.2132990797783e+00,
0.4458052820973e-09, 0.5059830025565e+01, 0.5296909721118e+00,
0.4406855467908e-09, 0.2027971692630e+01, 0.1589072916335e+01,
0.3101659310977e-09, 0.3317677981860e+01, 0.1052268489556e+01,
0.3016749232545e-09, 0.3913703482532e+01, 0.1066495398892e+01,
0.3198541352656e-09, 0.1275513098525e+01, 0.1495633313810e+00,
0.2142065389871e-09, 0.5301351614597e+01, 0.3163918923335e+00,
0.1902615247592e-09, 0.4894943352736e+00, 0.2275259891141e+00,
0.1613410990871e-09, 0.2449891130437e+01, 0.1102062672231e+00,
0.1576992165097e-09, 0.4211421447633e+01, 0.7626583626240e-01,
0.1241637259894e-09, 0.4140803368133e+01, 0.5154640627760e+00,
0.1313974830355e-09, 0.3591920305503e+01, 0.3664874755930e-01,
0.1181697118258e-09, 0.1506314382788e+01, 0.6327837846670e+00,
0.1238239742779e-09, 0.7461405378404e+00, 0.3961708870310e-01,
0.1010107068241e-09, 0.6271010795475e+00, 0.7329749511860e-01,
0.9226316616509e-10, 0.1259158839583e+01, 0.1990721704425e+00,
0.8664946419555e-10, 0.3353244696934e+01, 0.5439178814476e+00,
0.7757230468978e-10, 0.1447677295196e+01, 0.9491756770005e+00,
0.7693168628139e-10, 0.1120509896721e+01, 0.1030928125552e+00,
0.5487897454612e-10, 0.4439380426795e+01, 0.8531963191132e+00,
0.5196118677218e-10, 0.3788856619137e+00, 0.2093666171530e+00,
0.5110853339935e-10, 0.1386879372016e+01, 0.2172315424036e+00,
0.5027804534813e-10, 0.1647881805466e+00, 0.2164800718209e+00,
0.4922485922674e-10, 0.1594315079862e+01, 0.2101180877357e+00,
0.6155599524400e-10, 0.0000000000000e+00, 0.0000000000000e+00,
0.4447147832161e-10, 0.5480720918976e+01, 0.3235053470014e+00,
0.4144691276422e-10, 0.1931371033660e+01, 0.6373574839730e-01,
0.4099950625452e-10, 0.5229611294335e+01, 0.6470106940028e+00,
0.5060541682953e-10, 0.1731112486298e+01, 0.1422690933580e-01,
0.4293615946300e-10, 0.2714571038925e+01, 0.7358765972222e+00,
0.3545659845763e-10, 0.4451041444634e+01, 0.5265099800692e+00,
0.3479112041196e-10, 0.3029385448081e+01, 0.5328719641544e+00,
0.3438516493570e-10, 0.2778507143731e+01, 0.8582758298370e-01,
0.3297341285033e-10, 0.7898709807584e+00, 0.1104591729320e-01,
0.2972585818015e-10, 0.3218785316973e+01, 0.5257585094865e+00,
0.2931707295017e-10, 0.4260731012098e+01, 0.5336234347371e+00,
0.2897198149403e-10, 0.1120753978101e+01, 0.1173197218910e+00,
0.2832293240878e-10, 0.4597682717827e+00, 0.2022531624851e+00,
0.2864348326612e-10, 0.2169939928448e+01, 0.9597935788730e-01,
0.2852714675471e-10, 0.2377659870578e+01, 0.2118763888447e+01 };
/* SSB-to-Sun, T^1, Z */
static final double s1z[] = {
0.5444220475678e-08, 0.1803825509310e+01, 0.2132990797783e+00,
0.3883412695596e-08, 0.4668616389392e+01, 0.5296909721118e+00,
0.1334341434551e-08, 0.0000000000000e+00, 0.0000000000000e+00,
0.3730001266883e-09, 0.5401405918943e+01, 0.2061856251104e+00,
0.2894929197956e-09, 0.4932415609852e+01, 0.2204125344462e+00,
0.2857950357701e-09, 0.3154625362131e+01, 0.7478166569050e-01,
0.2499226432292e-09, 0.3657486128988e+01, 0.4265981595566e+00,
0.1937705443593e-09, 0.5740434679002e+01, 0.1059381944224e+01,
0.1374894396320e-09, 0.1712857366891e+01, 0.5368044267797e+00,
0.1217248678408e-09, 0.2312090870932e+01, 0.5225775174439e+00,
0.7961052740870e-10, 0.5283368554163e+01, 0.3813291813120e-01,
0.4979225949689e-10, 0.4298290471860e+01, 0.4194847048887e+00,
0.4388552286597e-10, 0.6145515047406e+01, 0.7113454667900e-02,
0.2586835212560e-10, 0.3019448001809e+01, 0.6398972393349e+00 };
/* SSB-to-Sun, T^2, X */
static final double s2x[] = {
0.1603551636587e-11, 0.4404109410481e+01, 0.2061856251104e+00,
0.1556935889384e-11, 0.4818040873603e+00, 0.2204125344462e+00,
0.1182594414915e-11, 0.9935762734472e+00, 0.5225775174439e+00,
0.1158794583180e-11, 0.3353180966450e+01, 0.5368044267797e+00,
0.9597358943932e-12, 0.5567045358298e+01, 0.2132990797783e+00,
0.6511516579605e-12, 0.5630872420788e+01, 0.4265981595566e+00,
0.7419792747688e-12, 0.2156188581957e+01, 0.5296909721118e+00,
0.3951972655848e-12, 0.1981022541805e+01, 0.1059381944224e+01,
0.4478223877045e-12, 0.0000000000000e+00, 0.0000000000000e+00 };
/* SSB-to-Sun, T^2, Y */
static final double s2y[] = {
0.1609114495091e-11, 0.2831096993481e+01, 0.2061856251104e+00,
0.1560330784946e-11, 0.5193058213906e+01, 0.2204125344462e+00,
0.1183535479202e-11, 0.5707003443890e+01, 0.5225775174439e+00,
0.1158183066182e-11, 0.1782400404928e+01, 0.5368044267797e+00,
0.1032868027407e-11, 0.4036925452011e+01, 0.2132990797783e+00,
0.6540142847741e-12, 0.4058241056717e+01, 0.4265981595566e+00,
0.7305236491596e-12, 0.6175401942957e+00, 0.5296909721118e+00,
-0.5580725052968e-12, 0.0000000000000e+00, 0.0000000000000e+00,
0.3946122651015e-12, 0.4108265279171e+00, 0.1059381944224e+01 };
/* SSB-to-Sun, T^2, Z */
static final double s2z[] = {
0.3749920358054e-12, 0.3230285558668e+01, 0.2132990797783e+00,
0.2735037220939e-12, 0.6154322683046e+01, 0.5296909721118e+00 };
}
/**
* Earth position and velocity, heliocentric and barycentric, with
* respect to the Barycentric Celestial Reference System.
*
*This function is derived from the International Astronomical Union's
* SOFA (Standards Of Fundamental Astronomy) software collection.
*
*
Status: support function.
*
*
* @param date1 double TDB date (Note 1)
* @param date2 double TDB date (Note 1)
*
*
* @param pvh double[2][3] returned heliocentric Earth position/velocity (au, au/d)
* @param pvb double[2][3] returned barycentric Earth position/velocity (au, au/d)
*
*
* @return int status: 0 = OK
* +1 = warning: date outside
* the range 1900-2100 AD
*
*
Notes:
*
*
* - The TDB date date1+date2 is a Julian Date, apportioned in any
* convenient way between the two arguments. For example,
* JD(TDB)=2450123.7 could be expressed in any of these ways, among
* others:
*
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases
* where the loss of several decimal digits of resolution is
* acceptable. The J2000 method is best matched to the way the
* argument is handled internally and will deliver the optimum
* resolution. The MJD method and the date & time methods are both
* good compromises between resolution and convenience. However,
* the accuracy of the result is more likely to be limited by the
* algorithm itself than the way the date has been expressed.
*
* n.b. TT can be used instead of TDB in most applications.
*
* - On return, the arrays pvh and pvb contain the following:
*
* pvh[0][0] x }
* pvh[0][1] y } heliocentric position, au
* pvh[0][2] z }
*
* pvh[1][0] xdot }
* pvh[1][1] ydot } heliocentric velocity, au/d
* pvh[1][2] zdot }
*
* pvb[0][0] x }
* pvb[0][1] y } barycentric position, au
* pvb[0][2] z }
*
* pvb[1][0] xdot }
* pvb[1][1] ydot } barycentric velocity, au/d
* pvb[1][2] zdot }
*
* The vectors are with respect to the Barycentric Celestial
* Reference System. The time unit is one day in TDB.
*
*
- The function is a SIMPLIFIED SOLUTION from the planetary theory
* VSOP2000 (X. Moisson, P. Bretagnon, 2001, Celes. Mechanics &
* Dyn. Astron., 80, 3/4, 205-213) and is an adaptation of original
* Fortran code supplied by P. Bretagnon (private comm., 2000).
*
*
- Comparisons over the time span 1900-2100 with this simplified
* solution and the JPL DE405 ephemeris give the following results:
*
* RMS max
* Heliocentric:
* position error 3.7 11.2 km
* velocity error 1.4 5.0 mm/s
*
* Barycentric:
* position error 4.6 13.4 km
* velocity error 1.4 4.9 mm/s
*
* Comparisons with the JPL DE406 ephemeris show that by 1800 and
* 2200 the position errors are approximately double their 1900-2100
* size. By 1500 and 2500 the deterioration is a factor of 10 and
* by 1000 and 3000 a factor of 60. The velocity accuracy falls off
* at about half that rate.
*
*
- It is permissible to use the same array for pvh and pvb, which
* will receive the barycentric values.
*
*@version 2008 November 18
*
* @since Release 20101201
*
*
*/
public static int jauEpv00(final double date1, final double date2,
double pvh[][], double pvb[][])
{
/*
* Matrix elements for orienting the analytical model to DE405.
*
* The corresponding Euler angles are:
*
* d ' "
* 1st rotation - 23 26 21.4091 about the x-axis (obliquity)
* 2nd rotation + 0.0475 about the z-axis (RA offset)
*
* These were obtained empirically, by comparisons with DE405 over
* 1900-2100.
*/
final double am12 = 0.000000211284,
am13 = -0.000000091603,
am21 = -0.000000230286,
am22 = 0.917482137087,
am23 = -0.397776982902,
am32 = 0.397776982902,
am33 = 0.917482137087;
/* Pointers to coefficient arrays, in x,y,z sets */
final double ce0[][] = { Ephemeris.e0x, Ephemeris.e0y, Ephemeris.e0z },
ce1[][] = { Ephemeris.e1x, Ephemeris.e1y, Ephemeris.e1z },
ce2[][] = { Ephemeris.e2x, Ephemeris.e2y, Ephemeris.e2z },
cs0[][] = { Ephemeris.s0x, Ephemeris.s0y, Ephemeris.s0z },
cs1[][] = { Ephemeris.s1x, Ephemeris.s1y, Ephemeris.s1z },
cs2[][] = { Ephemeris.s2x, Ephemeris.s2y, Ephemeris.s2z };
/* Numbers of terms for each component of the model, in x,y,z sets */
final int ne0[] = {Ephemeris.e0x.length/3,
Ephemeris.e0y.length/3,
Ephemeris.e0z.length/3 },
ne1[] = {Ephemeris.e1x.length/3,
Ephemeris.e1y.length/3,
Ephemeris.e1z.length/3 },
ne2[] = {Ephemeris.e2x.length/3,
Ephemeris.e2y.length/3,
Ephemeris.e2z.length/3 },
ns0[] = {Ephemeris.s0x.length/3,
Ephemeris.s0y.length/3,
Ephemeris.s0z.length/3 },
ns1[] = {Ephemeris.s1x.length/3,
Ephemeris.s1y.length/3,
Ephemeris.s1z.length/3 },
ns2[] = {Ephemeris.s2x.length/3,
Ephemeris.s2y.length/3,
Ephemeris.s2z.length/3 };
int nterms;
/* Miscellaneous */
int jstat, i, j;
double t, t2, xyz, xyzd, a, b, c, ct, p, cp,
ph[] = new double[3], vh[] = new double[3], pb[] = new double[3], vb[] = new double[3], x, y, z;
/*--------------------------------------------------------------------*/
/* Time since reference epoch, Julian years. */
t = ((date1 - DJ00) + date2) / DJY;
t2 = t*t;
/* Set status. */
jstat = abs(t) <= 100.0 ? 0 : 1;
/* X then Y then Z. */
for (i = 0; i < 3; i++) {
/* Initialize position and velocity component. */
xyz = 0.0;
xyzd = 0.0;
/* ------------------------------------------------ */
/* Obtain component of Sun to Earth ecliptic vector */
/* ------------------------------------------------ */
/* Sun to Earth, T^0 terms. */
nterms = ne0[i];
int idx;
for (j = 0, idx=0; j < nterms; j++) {
a = ce0[i][idx++];
b = ce0[i][idx++];
c = ce0[i][idx++];
p = b + c*t;
xyz += a*cos(p);
xyzd -= a*c*sin(p);
}
/* Sun to Earth, T^1 terms. */
nterms = ne1[i];
for (j = 0, idx= 0; j < nterms; j++) {
a = ce1[i][idx++];
b = ce1[i][idx++];
c = ce1[i][idx++];
ct = c*t;
p = b + ct;
cp = cos(p);
xyz += a*t*cp;
xyzd += a*( cp - ct*sin(p) );
}
/* Sun to Earth, T^2 terms. */
nterms = ne2[i];
for (j = 0, idx = 0; j < nterms; j++) {
a = ce2[i][idx++];
b = ce2[i][idx++];
c = ce2[i][idx++];
ct = c*t;
p = b + ct;
cp = cos(p);
xyz += a*t2*cp;
xyzd += a*t*( 2.0*cp - ct*sin(p) );
}
/* Heliocentric Earth position and velocity component. */
ph[i] = xyz;
vh[i] = xyzd / DJY;
/* ------------------------------------------------ */
/* Obtain component of SSB to Earth ecliptic vector */
/* ------------------------------------------------ */
/* SSB to Sun, T^0 terms. */
nterms = ns0[i];
for (j = 0, idx = 0; j < nterms; j++) {
a = cs0[i][idx++];
b = cs0[i][idx++];
c = cs0[i][idx++];
p = b + c*t;
xyz += a*cos(p);
xyzd -= a*c*sin(p);
}
/* SSB to Sun, T^1 terms. */
nterms = ns1[i];
for (j = 0, idx = 0; j < nterms; j++) {
a = cs1[i][idx++];
b = cs1[i][idx++];
c = cs1[i][idx++];
ct = c*t;
p = b + ct;
cp = cos(p);
xyz += a*t*cp;
xyzd += a*(cp - ct*sin(p));
}
/* SSB to Sun, T^2 terms. */
nterms = ns2[i];
for (j = 0, idx = 0; j < nterms; j++) {
a = cs2[i][idx++];
b = cs2[i][idx++];
c = cs2[i][idx++];
ct = c*t;
p = b + ct;
cp = cos(p);
xyz += a*t2*cp;
xyzd += a*t*(2.0*cp - ct*sin(p));
}
/* Barycentric Earth position and velocity component. */
pb[i] = xyz;
vb[i] = xyzd / DJY;
/* Next Cartesian component. */
}
/* Rotate from ecliptic to BCRS coordinates. */
x = ph[0];
y = ph[1];
z = ph[2];
pvh[0][0] = x + am12*y + am13*z;
pvh[0][1] = am21*x + am22*y + am23*z;
pvh[0][2] = am32*y + am33*z;
x = vh[0];
y = vh[1];
z = vh[2];
pvh[1][0] = x + am12*y + am13*z;
pvh[1][1] = am21*x + am22*y + am23*z;
pvh[1][2] = am32*y + am33*z;
x = pb[0];
y = pb[1];
z = pb[2];
pvb[0][0] = x + am12*y + am13*z;
pvb[0][1] = am21*x + am22*y + am23*z;
pvb[0][2] = am32*y + am33*z;
x = vb[0];
y = vb[1];
z = vb[2];
pvb[1][0] = x + am12*y + am13*z;
pvb[1][1] = am21*x + am22*y + am23*z;
pvb[1][2] = am32*y + am33*z;
/* Return the status. */
return jstat;
}
/**
* Equation of the equinoxes, IAU 1994 model.
*
*This function is derived from the International Astronomical Union's
* SOFA (Standards Of Fundamental Astronomy) software collection.
*
*
Status: canonical model.
*
*
* @param date1 double TDB date (Note 1)
* @param date2 double TDB date (Note 1)
*
*
* @return double equation of the equinoxes (Note 2)
*
*
Notes:
*
*
* - The date date1+date2 is a Julian Date, apportioned in any
* convenient way between the two arguments. For example,
* JD(TT)=2450123.7 could be expressed in any of these ways,
* among others:
*
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* - The result, which is in radians, operates in the following sense:
*
* Greenwich apparent ST = GMST + equation of the equinoxes
*
*Called:
References: * *
IAU Resolution C7, Recommendation 3 (1994). * *
Capitaine, N. & Gontier, A.-M., 1993, Astron. Astrophys., 275, * 645-650. * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauEqeq94(double date1, double date2) { double t, om, eps0, ee; /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Longitude of the mean ascending node of the lunar orbit on the */ /* ecliptic, measured from the mean equinox of date. */ om = jauAnpm((450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t) * DAS2R + fmod(-5.0 * t, 1.0) * D2PI); /* Nutation components and mean obliquity. */ NutationTerms nt = jauNut80(date1, date2); eps0 = jauObl80(date1, date2); /* Equation of the equinoxes. */ ee = nt.dpsi*cos(eps0) + DAS2R*(0.00264*sin(om) + 0.000063*sin(om+om)); return ee; } /** * Earth rotation angle (IAU 2000 model). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param dj1 double UT1 as a 2-part Julian Date (see note) * @param dj2 double UT1 as a 2-part Julian Date (see note) * * * @return double Earth rotation angle (radians), range 0-2pi * *
Notes: *
* dj1 dj2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. The date & time method is
* best matched to the algorithm used: maximum precision is
* delivered when the dj1 argument is for 0hrs UT1 on the day in
* question and the dj2 argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
References: * *
Capitaine N., Guinot B. and McCarthy D.D, 2000, Astron. * Astrophys., 355, 398-405. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauEra00(double dj1, double dj2) { double d1, d2, t, f, theta; /* Days since fundamental epoch. */ if (dj1 < dj2) { d1 = dj1; d2 = dj2; } else { d1 = dj2; d2 = dj1; } t = d1 + (d2- DJ00); /* Fractional part of T (days). */ f = fmod(d1, 1.0) + fmod(d2, 1.0); /* Earth rotation angle at this UT1. */ theta = jauAnp(D2PI * (f + 0.7790572732640 + 0.00273781191135448 * t)); return theta; } /** * Fundamental argument, IERS Conventions (2003): * mean elongation of the Moon from the Sun. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double D, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFad03(double t) { double a; /* Mean elongation of the Moon from the Sun (IERS Conventions 2003). */ a = fmod( 1072260.703692 + t * ( 1602961601.2090 + t * ( - 6.3706 + t * ( 0.006593 + t * ( - 0.00003169 ) ) ) ), TURNAS ) * DAS2R; return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Earth. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Earth, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFae03(double t) { double a; /* Mean longitude of Earth (IERS Conventions 2003). */ a = fmod(1.753470314 + 628.3075849991 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of the Moon minus mean longitude of the ascending * node. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double F, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFaf03(double t) { double a; /* Mean longitude of the Moon minus that of the ascending node */ /* (IERS Conventions 2003). */ a = fmod( 335779.526232 + t * ( 1739527262.8478 + t * ( - 12.7512 + t * ( - 0.001037 + t * ( 0.00000417 ) ) ) ), TURNAS ) * DAS2R; return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Jupiter. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Jupiter, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFaju03(double t) { double a; /* Mean longitude of Jupiter (IERS Conventions 2003). */ a = fmod(0.599546497 + 52.9690962641 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean anomaly of the Moon. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double l, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFal03(double t) { double a; /* Mean anomaly of the Moon (IERS Conventions 2003). */ a = fmod( 485868.249036 + t * ( 1717915923.2178 + t * ( 31.8792 + t * ( 0.051635 + t * ( - 0.00024470 ) ) ) ), TURNAS ) * DAS2R; return a; } /** * Fundamental argument, IERS Conventions (2003): * mean anomaly of the Sun. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double l', radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFalp03(double t) { double a; /* Mean anomaly of the Sun (IERS Conventions 2003). */ a = fmod( 1287104.793048 + t * ( 129596581.0481 + t * ( - 0.5532 + t * ( 0.000136 + t * ( - 0.00001149 ) ) ) ), TURNAS ) * DAS2R; return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Mars. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Mars, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFama03(double t) { double a; /* Mean longitude of Mars (IERS Conventions 2003). */ a = fmod(6.203480913 + 334.0612426700 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Mercury. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Mercury, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFame03(double t) { double a; /* Mean longitude of Mercury (IERS Conventions 2003). */ a = fmod(4.402608842 + 2608.7903141574 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Neptune. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Neptune, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFane03(double t) { double a; /* Mean longitude of Neptune (IERS Conventions 2003). */ a = fmod(5.311886287 + 3.8133035638 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of the Moon's ascending node. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double Omega, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFaom03(double t) { double a; /* Mean longitude of the Moon's ascending node */ /* (IERS Conventions 2003). */ a = fmod( 450160.398036 + t * ( - 6962890.5431 + t * ( 7.4722 + t * ( 0.007702 + t * ( - 0.00005939 ) ) ) ), TURNAS ) * DAS2R; return a; } /** * Fundamental argument, IERS Conventions (2003): * general accumulated precession in longitude. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double general precession in longitude, radians (Note 2) * *
Notes: *
References: * * Kinoshita, H. and Souchay J. 1990, Celest.Mech. and Dyn.Astron. * 48, 187 * *
Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, * Astron.Astrophys. 58, 1-16 * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFapa03(double t) { double a; /* General accumulated precession in longitude. */ a = (0.024381750 + 0.00000538691 * t) * t; return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Saturn. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Saturn, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFasa03(double t) { double a; /* Mean longitude of Saturn (IERS Conventions 2003). */ a = fmod(0.874016757 + 21.3299104960 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Uranus. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Uranus, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFaur03(double t) { double a; /* Mean longitude of Uranus (IERS Conventions 2003). */ a = fmod(5.481293872 + 7.4781598567 * t, D2PI); return a; } /** * Fundamental argument, IERS Conventions (2003): * mean longitude of Venus. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param t double TDB, Julian centuries since J2000.0 (Note 1) * * * @return double mean longitude of Venus, radians (Note 2) * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *@version 2009 December 16 * * @since Release 20101201 * * */ public static double jauFave03(double t) { double a; /* Mean longitude of Venus (IERS Conventions 2003). */ a = fmod(3.176146697 + 1021.3285546211 * t, D2PI); return a; } /** * Transform FK5 (J2000.0) star data into the Hipparcos system. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * Given (all FK5, equinox J2000.0, epoch J2000.0): * @param r5 double RA (radians) * @param d5 double Dec (radians) * @param dr5 double proper motion in RA (dRA/dt, rad/Jyear) * @param dd5 double proper motion in Dec (dDec/dt, rad/Jyear) * @param px5 double parallax (arcsec) * @param rv5 double radial velocity (km/s, positive = receding) * * Returned (all Hipparcos, epoch J2000.0): * @return catalogue coordinates * *
Notes: *
Called:
Reference: * *
F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). * *@version 2009 December 17 * * @since Release 20101201 * * */ public static CatalogCoords jauFk52h(double r5, double d5, double dr5, double dd5, double px5, double rv5) { int i; double pv5[][] = new double[2][3], r5h[][] = new double[3][3], s5h[] = new double[3], wxp[] = new double[3], vv[] = new double[3], pvh[][] = new double[2][3]; /* FK5 barycentric position/velocity pv-vector (normalized). */ jauStarpv(r5, d5, dr5, dd5, px5, rv5, pv5); /* FK5 to Hipparcos orientation matrix and spin vector. */ jauFk5hip(r5h, s5h); /* Make spin units per day instead of per year. */ for ( i = 0; i < 3; s5h[i++] /= 365.25 ); /* Orient the FK5 position into the Hipparcos system. */ pvh[0] = jauRxp(r5h, pv5[0]); /* Apply spin to the position giving an extra space motion component. */ wxp = jauPxp(pv5[0],s5h); /* Add this component to the FK5 space motion. */ vv = jauPpp(wxp, pv5[1]); /* Orient the FK5 space motion into the Hipparcos system. */ pvh[1] = jauRxp(r5h, vv); /* Hipparcos pv-vector to spherical. */ CatalogCoords cat = null; try { cat = jauPvstar(pvh); } catch (JSOFAInternalError e) { //original code ignored possibility of error too... e.printStackTrace(); } return cat; } /** * FK5 to Hipparcos rotation and spin. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param r5h double[3][3] returned r-matrix: FK5 rotation wrt Hipparcos (Note 2) * @param s5h double[3] returned r-vector: FK5 spin wrt Hipparcos (Note 3) * *
Notes: *
Called:
Reference: * *
F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). * *@version 2009 March 14 * * @since Release 20101201 * * */ public static void jauFk5hip(double r5h[][], double s5h[] ) { double v[] = new double[3]; /* FK5 wrt Hipparcos orientation and spin (radians, radians/year) */ double epx, epy, epz; double omx, omy, omz; epx = -19.9e-3 * DAS2R; epy = -9.1e-3 * DAS2R; epz = 22.9e-3 * DAS2R; omx = -0.30e-3 * DAS2R; omy = 0.60e-3 * DAS2R; omz = 0.70e-3 * DAS2R; /* FK5 to Hipparcos orientation expressed as an r-vector. */ v[0] = epx; v[1] = epy; v[2] = epz; /* Re-express as an r-matrix. */ double[][] r5ht = jauRv2m(v); jauCr(r5ht, r5h); /* Hipparcos wrt FK5 spin expressed as an r-vector. */ s5h[0] = omx; s5h[1] = omy; s5h[2] = omz; return; } /** * Position consisting of (α, δ) pairs in radians. Where α is right ascension (or longitude angle) and δ is declination (or latitude angle). * @author Paul Harrison (paul.harrison@manchester.ac.uk) 1 Feb 2010 * * @since AIDA Stage 1 */ public static class SphericalCoordinate { public double alpha; public double delta; public SphericalCoordinate(double alpha, double delta){ this.alpha = alpha; this.delta = delta; } } /** * Spherical coordinate with equation of origins . * @author Paul Harrison (paul.harrison@manchester.ac.uk) 28 Mar 2014 * @version $Revision$ $date$ */ public static class SphericalCoordinateEO { public SphericalCoordinate pos; public double eo; /** * @param pos the spherical position. * @param eo the equation of thr origins. */ public SphericalCoordinateEO(SphericalCoordinate pos, double eo) { this.pos = pos; this.eo = eo; } } /** * Transform an FK5 (J2000.0) star position into the system of the * Hipparcos catalogue, assuming zero Hipparcos proper motion. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param r5 double FK5 RA (radians), equinox J2000.0, at date * @param d5 double FK5 Dec (radians), equinox J2000.0, at date * @param date1 double TDB date (Notes 1,2) * @param date2 double TDB date (Notes 1,2) * * * @return rh double returned Hipparcos RA (radians) * dh double returned Hipparcos Dec (radians) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739. * *@version 2009 December 17 * * @since Release 20101201 * * */ public static SphericalCoordinate jauFk5hz(double r5, double d5, double date1, double date2 ) { double t, p5e[] = new double[3], r5h[][] = new double[3][3], s5h[] = new double[3], vst[] = new double[3], rst[][] = new double[3][3], p5[] = new double[3], ph[] = new double[3]; /* Interval from given date to fundamental epoch J2000.0 (JY). */ t = - ((date1 - DJ00) + date2) / DJY; /* FK5 barycentric position vector. */ p5e = jauS2c(r5,d5); /* FK5 to Hipparcos orientation matrix and spin vector. */ jauFk5hip(r5h, s5h); /* Accumulated Hipparcos wrt FK5 spin over that interval. */ vst = jauSxp(t,s5h); /* Express the accumulated spin as a rotation matrix. */ rst = jauRv2m(vst); /* Derotate the vector's FK5 axes back to date. */ p5 = jauTrxp(rst, p5e); /* Rotate the vector into the Hipparcos system. */ ph = jauRxp(r5h, p5); /* Hipparcos vector to spherical. */ SphericalCoordinate sc = jauC2s(ph); double rh = jauAnp(sc.alpha); sc.alpha = rh; return sc; } /** * Form rotation matrix given the Fukushima-Williams angles. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param gamb double F-W angle gamma_bar (radians) * @param phib double F-W angle phi_bar (radians) * @param psi double F-W angle psi (radians) * @param eps double F-W angle epsilon (radians) * * * @return r double[3][3] returned rotation matrix * *
Notes: *
Called:
References: * * Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 * *@version 2020 November 13 * * @since Release 20101201 * * */ public static double[][] jauFw2m(double gamb, double phib, double psi, double eps) { /* Construct the matrix. */ double r[][] = new double[3][3]; jauIr(r); jauRz(gamb, r); jauRx(phib, r); jauRz(-psi, r); jauRx(-eps, r); return r; } /** * CIP X,Y given Fukushima-Williams bias-precession-nutation angles. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param gamb double F-W angle gamma_bar (radians) * @param phib double F-W angle phi_bar (radians) * @param psi double F-W angle psi (radians) * @param eps double F-W angle epsilon (radians) * * * @return CIP unit vector X,Y * *
Notes: *
Called:
Reference: * * Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 * *@version 2009 December 17 * * @since Release 20101201 * * */ public static CelestialIntermediatePole jauFw2xy(double gamb, double phib, double psi, double eps) { double r[][] = new double[3][3]; /* Form NxPxB matrix. */ r = jauFw2m(gamb, phib, psi, eps); /* Extract CIP X,Y. */ return jauBpn2xy(r); } /** * Geodetic coordinates. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 4 Feb 2010 * * @since AIDA Stage 1 */ public static class GeodeticCoord { /** longitude (radians, east +ve) */ public double elong; /** latitude (geodetic, radians) */ public double phi; /** height above ellipsoid (geodetic) */ public double height; public GeodeticCoord(double elong, double phi, double height) { this.elong = elong; this.phi = phi; this.height = height; } } /** * Transform geocentric coordinates to geodetic using the specified * reference ellipsoid. * *
This function is derived from the International Astronomical Union's * JSOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical transformation. * * * @param n int ellipsoid identifier (Note 1) * @param xyz double[3] geocentric vector (Note 2) * * * @return elong double returned longitude (radians, east +ve) * phi double returned latitude (geodetic, radians, Note 3) * height double returned height above ellipsoid (geodetic, Notes 2,3) * * * @throws JSOFAIllegalParameter 0 = OK * -1 = illegal identifier (Note 3) * -2 = internal error (Note 3) * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * JSOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param a double equatorial radius (Notes 2,4) * @param f double flattening (Note 3) * @param xyz double[3] geocentric vector (Note 4) * * * @return GeodeticCoord logitude (radians, east +ve) latitude (geodetic, radians) height above ellipsoid (geodetic, Note 4) * * @throws JSOFAIllegalParameter int status: * * -1 = illegal a * -2 = illegal f * *
Notes: *
Reference: * * Fukushima, T., "Transformation from Cartesian to geodetic * coordinates accelerated by Halley's method", J.Geodesy (2006) * 79: 689-693 * *@version 2009 November 2 * * @since Release 20101201 * * * */ public static GeodeticCoord jauGc2gde ( double a, double f, double xyz[] ) throws JSOFAIllegalParameter { double aeps2, e2, e4t, ec2, ec, b, x, y, z, p2, absz, p, s0, pn, zc, c0, c02, c03, s02, s03, a02, a0, a03, d0, f0, b0, s1, cc, s12, cc2; double phi, height; /* ------------- */ /* Preliminaries */ /* ------------- */ /* Validate ellipsoid parameters. */ if ( f < 0.0 || f >= 1.0 ) throw new JSOFAIllegalParameter("bad f", -1); if ( a <= 0.0 ) throw new JSOFAIllegalParameter("bad a", -2); /* Functions of ellipsoid parameters (with further validation of f). */ aeps2 = a*a * 1e-32; e2 = (2.0 - f) * f; e4t = e2*e2 * 1.5; ec2 = 1.0 - e2; if ( ec2 <= 0.0 ) throw new JSOFAIllegalParameter("bad f", -1); ec = sqrt(ec2); b = a * ec; /* Cartesian components. */ x = xyz[0]; y = xyz[1]; z = xyz[2]; /* Distance from polar axis squared. */ p2 = x*x + y*y; /* Longitude. */ double elong = p2 > 0.0 ? atan2(y, x) : 0.0; /* Unsigned z-coordinate. */ absz = abs(z); /* Proceed unless polar case. */ if ( p2 > aeps2 ) { /* Distance from polar axis. */ p = sqrt(p2); /* Normalization. */ s0 = absz / a; pn = p / a; zc = ec * s0; /* Prepare Newton correction factors. */ c0 = ec * pn; c02 = c0 * c0; c03 = c02 * c0; s02 = s0 * s0; s03 = s02 * s0; a02 = c02 + s02; a0 = sqrt(a02); a03 = a02 * a0; d0 = zc*a03 + e2*s03; f0 = pn*a03 - e2*c03; /* Prepare Halley correction factor. */ b0 = e4t * s02 * c02 * pn * (a0 - ec); s1 = d0*f0 - b0*s0; cc = ec * (f0*f0 - b0*c0); /* Evaluate latitude and height. */ phi = atan(s1/cc); s12 = s1 * s1; cc2 = cc * cc; height = (p*cc + absz*s1 - a * sqrt(ec2*s12 + cc2)) / sqrt(s12 + cc2); } else { /* Exception: pole. */ phi = DPI / 2.0; height = absz - b; } /* Restore sign of latitude. */ if ( z < 0 ) phi = -phi; /* OK status. */ return new GeodeticCoord(elong, phi, height); } /** * Transform geodetic coordinates to geocentric using the specified * reference ellipsoid. * *
This function is derived from the International Astronomical Union's * JSOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical transformation. * * * @param n int ellipsoid identifier (Note 1) * @param elong double longitude (radians, east +ve) * @param phi double latitude (geodetic, radians, Note 3) * @param height double height above ellipsoid (geodetic, Notes 2,3) * * * @return xyz double[3] returned geocentric vector (Note 2) * * * @throws JSOFAIllegalParameter -1 = illegal identifier (Note 3) * -2 = illegal case (Note 3) * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * JSOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param a double equatorial radius (Notes 1,4) * @param f double flattening (Notes 2,4) * @param elong double longitude (radians, east +ve) * @param phi double latitude (geodetic, radians, Note 4) * @param height double height above ellipsoid (geodetic, Notes 3,4) * * * @return xyz double[3] returned geocentric vector (Note 3) * * * * @throws JSOFAInternalError 0 = OK * -1 = illegal case (Note 4) *
Notes: *
References: * *
Green, R.M., Spherical Astronomy, Cambridge University Press, * (1985) Section 4.5, p96. * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 4.22, p202. * *@version 2009 November 2 * * @since Release 20101201 * * */ public static double[] jauGd2gce ( double a, double f, double elong, double phi, double height ) throws JSOFAInternalError { double sp, cp, w, d, ac, as, r; double xyz[] = new double[3]; /* Functions of geodetic latitude. */ sp = sin(phi); cp = cos(phi); w = 1.0 - f; w = w * w; d = cp*cp + w*sp*sp; if ( d <= 0.0 ) throw new JSOFAInternalError("illegal combination of arguments d< 0", -1); ac = a / sqrt(d); as = w * ac; /* Geocentric vector. */ r = (ac + height) * cp; xyz[0] = r * cos(elong); xyz[1] = r * sin(elong); xyz[2] = (as + height) * sp; /* Success. */ return xyz; } /** * Greenwich mean sidereal time (model consistent with IAU 2000 * resolutions). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * @param tta double TT as a 2-part Julian Date (Notes 1,2) * @param ttb double TT as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich mean sidereal time (radians) * *
Notes: *
* Part A Part B
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable (in the case of UT; the TT is not at all critical
* in this respect). The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* Rotation Angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 March 16 * * @since Release 20101201 * * */ public static double jauGmst00(double uta, double utb, double tta, double ttb) { double t, gmst; /* TT Julian centuries since J2000.0. */ t = ((tta - DJ00) + ttb) / DJC; /* Greenwich Mean Sidereal Time, IAU 2000. */ gmst = jauAnp(jauEra00(uta, utb) + ( 0.014506 + ( 4612.15739966 + ( 1.39667721 + ( -0.00009344 + ( 0.00001882 ) * t) * t) * t) * t) * DAS2R); return gmst; } /** * Greenwich mean sidereal time (consistent with IAU 2006 precession). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * @param tta double TT as a 2-part Julian Date (Notes 1,2) * @param ttb double TT as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich mean sidereal time (radians) * *
Notes: *
* u1a utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable (in the case of UT; the TT is not at all critical
* in this respect). The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* rotation angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
Reference: * *
Capitaine, N., Wallace, P.T. & Chapront, J., 2005, * Astron.Astrophys. 432, 355 * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauGmst06(double uta, double utb, double tta, double ttb) { double t, gmst; /* TT Julian centuries since J2000.0. */ t = ((tta - DJ00) + ttb) / DJC; /* Greenwich mean sidereal time, IAU 2006. */ gmst = jauAnp(jauEra00(uta, utb) + ( 0.014506 + ( 4612.156534 + ( 1.3915817 + ( -0.00000044 + ( -0.000029956 + ( -0.0000000368 ) * t) * t) * t) * t) * t) * DAS2R); return gmst; } /** * Universal Time to Greenwich mean sidereal time (IAU 1982 model). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param dj1 double UT1 Julian Date (see note) * @param dj2 double UT1 Julian Date (see note) * * * @return double Greenwich mean sidereal time (radians) * *
Notes: *
* dj1 dj2
*
* 2450123.7D0 0D0 (JD method)
* 2451545D0 -1421.3D0 (J2000 method)
* 2400000.5D0 50123.2D0 (MJD method)
* 2450123.5D0 0.2D0 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. The date & time method is
* best matched to the algorithm used: maximum accuracy (or, at
* least, minimum noise) is delivered when the dj1 argument is for
* 0hrs UT1 on the day in question and the dj2 argument lies in the
* range 0 to 1, or vice versa.
*
* Called:
References: * *
Transactions of the International Astronomical Union, * XVIII B, 67 (1983). * *
Aoki et al., Astron. Astrophys. 105, 359-361 (1982). * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauGmst82(double dj1, double dj2) { /* Coefficients of IAU 1982 GMST-UT1 model */ double A = 24110.54841 - DAYSEC / 2.0; double B = 8640184.812866; double C = 0.093104; double D = -6.2e-6; /* The first constant, A, has to be adjusted by 12 hours */ /* because the UT1 is supplied as a Julian date, which begins */ /* at noon. */ double d1, d2, t, f, gmst; /* Julian centuries since fundamental epoch. */ if (dj1 < dj2) { d1 = dj1; d2 = dj2; } else { d1 = dj2; d2 = dj1; } t = (d1 + (d2 - DJ00)) / DJC; /* Fractional part of JD(UT1), in seconds. */ f = DAYSEC * (fmod(d1, 1.0) + fmod(d2, 1.0)); /* GMST at this UT1. */ gmst = jauAnp(DS2R * ((A + (B + (C + D * t) * t) * t) + f)); return gmst; } /** * Greenwich apparent sidereal time (consistent with IAU 2000 * resolutions). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * @param tta double TT as a 2-part Julian Date (Notes 1,2) * @param ttb double TT as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich apparent sidereal time (radians) * *
Notes: *
* Part A Part B
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable (in the case of UT; the TT is not at all critical
* in this respect). The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* Rotation Angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauGst00a(double uta, double utb, double tta, double ttb) { double gmst00, ee00a, gst; gmst00 = jauGmst00(uta, utb, tta, ttb); ee00a = jauEe00a(tta, ttb); gst = jauAnp(gmst00 + ee00a); return gst; } /** * Greenwich apparent sidereal time (consistent with IAU 2000 * resolutions but using the truncated nutation model IAU 2000B). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich apparent sidereal time (radians) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases
* where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* Rotation Angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to * implement the IAU 2000 definition of UT1", Astronomy & * Astrophysics, 406, 1135-1149 (2003) * *
McCarthy, D.D. & Luzum, B.J., "An abridged model of the * precession-nutation of the celestial pole", Celestial Mechanics & * Dynamical Astronomy, 85, 37-49 (2003) * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauGst00b(double uta, double utb) { double gmst00, ee00b, gst; gmst00 = jauGmst00(uta, utb, uta, utb); ee00b = jauEe00b(uta, utb); gst = jauAnp(gmst00 + ee00b); return gst; } /** * Greenwich apparent sidereal time, IAU 2006, given the NPB matrix. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * @param tta double TT as a 2-part Julian Date (Notes 1,2) * @param ttb double TT as a 2-part Julian Date (Notes 1,2) * @param rnpb double[3][3] nutation x precession x bias matrix * * * @return double Greenwich apparent sidereal time (radians) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable (in the case of UT; the TT is not at all critical
* in this respect). The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* rotation angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
Reference: * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauGst06(double uta, double utb, double tta, double ttb, double rnpb[][]) { double s, era, eors, gst; /* Extract CIP coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rnpb); /* The CIO locator, s. */ s = jauS06(tta, ttb, cip.x, cip.y); /* Greenwich apparent sidereal time. */ era = jauEra00(uta, utb); eors = jauEors(rnpb, s); gst = jauAnp(era - eors); return gst; } /** * Greenwich apparent sidereal time (consistent with IAU 2000 and 2006 * resolutions). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * @param tta double TT as a 2-part Julian Date (Notes 1,2) * @param ttb double TT as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich apparent sidereal time (radians) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable (in the case of UT; the TT is not at all critical
* in this respect). The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* rotation angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
Reference: * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauGst06a(double uta, double utb, double tta, double ttb) { double rnpb[][], gst; /* Classical nutation x precession x bias matrix, IAU 2000A. */ rnpb = jauPnm06a(tta, ttb); /* Greenwich apparent sidereal time. */ gst = jauGst06(uta, utb, tta, ttb, rnpb); return gst; } /** * Greenwich apparent sidereal time (consistent with IAU 1982/94 * resolutions). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param uta double UT1 as a 2-part Julian Date (Notes 1,2) * @param utb double UT1 as a 2-part Julian Date (Notes 1,2) * * * @return double Greenwich apparent sidereal time (radians) * *
Notes: *
* uta utb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases
* where the loss of several decimal digits of resolution is
* acceptable. The J2000 and MJD methods are good compromises
* between resolution and convenience. For UT, the date & time
* method is best matched to the algorithm that is used by the Earth
* Rotation Angle function, called internally: maximum precision is
* delivered when the uta argument is for 0hrs UT1 on the day in
* question and the utb argument lies in the range 0 to 1, or vice
* versa.
*
* Called:
References: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * * IAU Resolution C7, Recommendation 3 (1994) * *@version 2008 May 16 * * @since Release 20101201 * * */ public static double jauGst94(double uta, double utb) { double gmst82, eqeq94, gst; gmst82 = jauGmst82(uta, utb); eqeq94 = jauEqeq94(uta, utb); gst = jauAnp(gmst82 + eqeq94); return gst; } /** * Transform Hipparcos star data into the FK5 (J2000.0) system. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * Given (all Hipparcos, epoch J2000.0): * @param rh double RA (radians) * @param dh double Dec (radians) * @param drh double proper motion in RA (dRA/dt, rad/Jyear) * @param ddh double proper motion in Dec (dDec/dt, rad/Jyear) * @param pxh double parallax (arcsec) * @param rvh double radial velocity (km/s, positive = receding) * * @return cc CatalogCoords all FK5, equinox J2000.0, epoch J2000.0: * *
Notes: *
Called:
Reference: * *
F.Mignard & M.Froeschle, Astron. Astrophys. 354, 732-739 (2000). * *@version 2009 December 17 * * @since Release 20101201 * * */ public static CatalogCoords jauH2fk5(double rh, double dh, double drh, double ddh, double pxh, double rvh) { int i; double pvh[][] = new double[2][3], r5h[][] = new double[3][3], s5h[] = new double[3], sh[] = new double[3], wxp[] = new double[3], vv[] = new double[3], pv5[][] = new double[2][3]; /* Hipparcos barycentric position/velocity pv-vector (normalized). */ jauStarpv(rh, dh, drh, ddh, pxh, rvh, pvh); /* FK5 to Hipparcos orientation matrix and spin vector. */ jauFk5hip(r5h, s5h); /* Make spin units per day instead of per year. */ for ( i = 0; i < 3; s5h[i++] /= 365.25 ); /* Orient the spin into the Hipparcos system. */ sh = jauRxp(r5h, s5h); /* De-orient the Hipparcos position into the FK5 system. */ pv5[0] = jauTrxp(r5h, pvh[0]); /* Apply spin to the position giving an extra space motion component. */ wxp = jauPxp(pvh[0],sh); /* Subtract this component from the Hipparcos space motion. */ vv = jauPmp(pvh[1], wxp); /* De-orient the Hipparcos space motion into the FK5 system. */ pv5[1] = jauTrxp(r5h, vv); /* FK5 pv-vector to spherical., r5, d5, dr5, dd5, px5, rv5 */ CatalogCoords cat = null; try { cat = jauPvstar(pv5); } catch (JSOFAInternalError e) { // original code just ignored this possibility e.printStackTrace(); } return cat; } /** * Transform a Hipparcos star position into FK5 J2000.0, assuming * zero Hipparcos proper motion. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rh double Hipparcos RA (radians) * @param dh double Hipparcos Dec (radians) * @param date1 double TDB date (Note 1) * @param date2 double TDB date (Note 1) * * FIXME original did not return the parallax and radial velocity of the CatalogCoords type. * @return cc CatalogCoords (all FK5, equinox J2000.0, date date1+date2) * RA (radians), Dec (radians), FK5 RA proper motion (rad/year, Note 4), Dec proper motion (rad/year, Note 4) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
F.Mignard & M.Froeschle, 2000, Astron.Astrophys. 354, 732-739. * *@version 2009 December 17 * * @since Release 20101201 * * * */ public static CatalogCoords jauHfk5z(double rh, double dh, double date1, double date2) { double t, ph[] = new double[3], r5h[][] = new double[3][3], s5h[] = new double[3], sh[] = new double[3], vst[] = new double[3], rst[][] = new double[3][3], r5ht[][] = new double[3][3], pv5e[][] = new double[2][3], vv[] = new double[3]; /* Time interval from fundamental epoch J2000.0 to given date (JY). */ t = ((date1 - DJ00) + date2) / DJY; /* Hipparcos barycentric position vector (normalized). */ ph = jauS2c(rh,dh); /* FK5 to Hipparcos orientation matrix and spin vector. */ jauFk5hip(r5h, s5h); /* Rotate the spin into the Hipparcos system. */ sh = jauRxp(r5h, s5h); /* Accumulated Hipparcos wrt FK5 spin over that interval. */ vst = jauSxp(t,s5h); /* Express the accumulated spin as a rotation matrix. */ rst = jauRv2m(vst); /* Rotation matrix: accumulated spin, then FK5 to Hipparcos. */ r5ht = jauRxr(r5h, rst); /* De-orient & de-spin the Hipparcos position into FK5 J2000.0. */ pv5e[0] = jauTrxp(r5ht, ph); /* Apply spin to the position giving a space motion. */ vv = jauPxp(sh,ph); /* De-orient & de-spin the Hipparcos space motion into FK5 J2000.0. */ pv5e[1] = jauTrxp(r5ht, vv); /* FK5 position/velocity pv-vector to spherical. */ SphericalPositionVelocity pvs = jauPv2s(pv5e); double r5 = jauAnp(pvs.pos.theta); return new CatalogCoords(r5, pvs.pos.phi, pvs.vel.theta, pvs.vel.phi, 0.0, 0.0); } /** * Initialize an r-matrix to the identity matrix. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] returned r-matrix * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param dj1 double Julian Date (Notes 1, 2) * @param dj2 double Julian Date (Notes 1, 2) * * Returned (arguments): * iy int year * im int month * id int day * fd double fraction of day * * * @return Calendar the date represented in Java. * *@throws JSOFAIllegalParameter unacceptable date (Note 3) *
Notes: *
* dj1 dj2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* Separating integer and fraction uses the "compensated summation"
* algorithm of Kahan-Neumaier to preserve as much precision as
* possible irrespective of the jd1+jd2 apportionment.
*
* Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 12.92 (p604). *
Klein, A., A Generalized Kahan-Babuska-Summation-Algorithm. * Computing 76, 279-293 (2006), Section 3. * * @version 2020 Nov 13 * * @since Release 20101201 * * */ public static Calendar jauJd2cal(double dj1, double dj2) throws JSOFAIllegalParameter { /* Minimum and maximum allowed JD */ final double djmin = -68569.5; final double djmax = 1e9; long jd, i , l, n, k; double dj, f1, f2, d, s, cs, v[]=new double[2], x, t, f; /* Verify date is acceptable. */ dj = dj1 + dj2; if (dj < djmin || dj > djmax) throw new JSOFAIllegalParameter("input julian date out of range", -1); /* Separate day and fraction (where -0.5 <= fraction < 0.5). */ d = dnint(dj1); f1 = dj1 - d; jd = (long) d; d = dnint(dj2); f2 = dj2 - d; jd += (long) d; /* Compute f1+f2+0.5 using compensated summation (Klein 2006). */ s = 0.5; cs = 0.0; v[0] = f1; v[1] = f2; for ( int i1 = 0; i1 < 2; i1++ ) { x = v[i1]; t = s + x; cs += abs(s) >= abs(x) ? (s-t) + x : (x-t) + s; s = t; if ( s >= 1.0 ) { jd++; s -= 1.0; } } f = s + cs; cs = f - s; /* Deal with negative f. */ if ( f < 0.0 ) { /* Compensated summation: assume that |s| <= 1.0. */ f = s + 1.0; cs += (1.0-f) + s; s = f; f = s + cs; cs = f - s; jd--; } /* Deal with f that is 1.0 or more (when rounded to double). */ if ( (f-1.0) >= -DBL_EPSILON/4.0 ) { /* Compensated summation: assume that |s| <= 1.0. */ t = s - 1.0; cs += (s-t) - 1.0; s = t; f = s + cs; if ( -DBL_EPSILON/2.0 < f ) { jd++; f = gmax(f, 0.0); } } /* Express day in Gregorian calendar. */ l = jd + 68569L; n = (4L * l) / 146097L; l -= (146097L * n + 3L) / 4L; i = (4000L * (l + 1L)) / 1461001L; l -= (1461L * i) / 4L - 31L; k = (80L * l) / 2447L; int id = (int) (l - (2447L * k) / 80L); l = k / 11L; int im = (int) (k + 2L - 12L * l); int iy = (int) (100L * (n - 49L) + i + l); return new Calendar(iy, im, id, f); } /** * larger (most +ve) of two numbers (generic). * @param A * @param B * @return */ private static double gmax(double A, double B) { return (((A)>(B))?(A):(B)) ; } /** * Julian Date to Gregorian Calendar, expressed in a form convenient * for formatting messages: rounded to a specified precision. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ndp int number of decimal places of days in fraction * @param dj1 double dj1+dj2 = Julian Date (Note 1) * @param dj2 double dj1+dj2 = Julian Date (Note 1) * * * @param iymdf int[4] returned year, month, day, fraction in Gregorian calendar * * * * @return int status: * -1 = date out of range * 0 = OK * +1 = NDP not 0-9 (interpreted as 0) * *
Notes: *
* dj1 dj2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 12.92 (p604). * * @version 2020 Nov 13 * * @since Release 20101201 * * */ public static int jauJdcalf(int ndp, double dj1, double dj2, int iymdf[]) { int j; double denom, d1, d2, f1, f2, d, djd, f, rf; /* Denominator of fraction (e.g. 100 for 2 decimal places). */ if ((ndp >= 0) && (ndp <= 9)) { j = 0; denom = pow(10.0, ndp); } else { j = 1; denom = 1.0; } /* Copy the date, big then small. */ if (abs(dj1) >= abs(dj2)) { d1 = dj1; d2 = dj2; } else { d1 = dj2; d2 = dj1; } /* Realign to midnight (without rounding error). */ d1 -= 0.5; /* Separate day and fraction (as precisely as possible). */ d = dnint(d1); f1 = d1 - d; djd = d; d = dnint(d2); f2 = d2 - d; djd += d; d = dnint(f1 + f2); f = (f1 - d) + f2; if (f < 0.0) { f += 1.0; d -= 1.0; } djd += d; /* Round the total fraction to the specified number of places. */ rf = dnint(f*denom) / denom; /* Re-align to noon. */ djd += 0.5; /* Convert to Gregorian Calendar. */ try { Calendar cal = jauJd2cal(djd, rf); iymdf[0] = cal.iy; iymdf[1] = cal.im; iymdf[2] = cal.id; iymdf[3] = (int) dnint(cal.fd * denom); } catch (JSOFAIllegalParameter e) { j = -1; } /* Return the status. */ return j; } /** * Form the matrix of nutation for a given date, IAU 2000A model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rmatn double[3][3] returned nutation matrix * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.222-3 (p114). * *@version 2008 May 12 * * @since Release 20101201 * * */ public static double[][] jauNum00a(double date1, double date2) { /* Obtain the required matrix (discarding other results). */ PrecessionNutation pn = jauPn00a(date1, date2); return pn.rn ; } /** * Form the matrix of nutation for a given date, IAU 2000B model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rmatn double[3][3] returned nutation matrix * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.222-3 (p114). * *@version 2008 May 12 * * @since Release 20101201 * * */ public static double[][] jauNum00b(double date1, double date2) { /* Obtain the required matrix (discarding other results). */ PrecessionNutation pn = jauPn00b(date1, date2); return pn.rn; } /** * Form the matrix of nutation for a given date, IAU 2006/2000A model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rmatn double[3][3] returned nutation matrix * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.222-3 (p114). * *@version 2008 May 12 * * @since Release 20101201 * * */ public static double[][] jauNum06a(double date1, double date2) { double eps, rmatn[][]; /* Mean obliquity. */ eps = jauObl06(date1, date2); /* Nutation components. */ NutationTerms nut = jauNut06a(date1, date2); /* Nutation matrix. */ rmatn = jauNumat(eps, nut.dpsi, nut.deps); return rmatn; } /** * Form the matrix of nutation. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epsa double mean obliquity of date (Note 1) * @param dpsi double nutation (Note 2) * @param deps double nutation (Note 2) * * * @return rmatn double[3][3] returned nutation matrix (Note 3) * *
Notes: *
Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.222-3 (p114). * *@version 2008 May 11 * * @since Release 20101201 * * */ public static double[][] jauNumat(double epsa, double dpsi, double deps) { double rmatn[][] = new double[3][3]; /* Build the rotation matrix. */ jauIr(rmatn); jauRx(epsa, rmatn); jauRz(-dpsi, rmatn); jauRx(-(epsa + deps), rmatn); return rmatn; } /** * Nutation Terms. * . * @author Paul Harrison (paul.harrison@manchester.ac.uk) 21 Nov 2011 * @version $Revision$ $date$ */ public static class NutationTerms { /** nutation component in longitude */ public double dpsi; /** nutation component in obliquity */ public double deps; public NutationTerms(double dpsi, double deps) { this.dpsi = dpsi; this.deps = deps; } } private static final class NutationModel { int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ double sp,spt,cp; /* longitude sin, t*sin, cos coefficients */ double ce,cet,se; /* obliquity cos, t*cos, sin coefficients */ public NutationModel(int nl,int nlp,int nf,int nd, int nom, double sp,double spt,double cp, double ce,double cet,double se ) { this.nl = nl; this.nlp = nlp; this.nf = nf; this.nd = nd; this.nom = nom; this.sp = sp; this.spt = spt; this.cp = cp; this.ce = ce; this.cet = cet; this.se = se; } } private final static class PlanetaryNutModel { final int nl, /* coefficients of l, F, D and Omega */ nf, nd, nom, nme, /* coefficients of planetary longitudes */ nve, nea, nma, nju, nsa, nur, nne, npa; /* coefficient of general precession */ final int sp,cp; /* longitude sin, cos coefficients */ final int se,ce; /* obliquity sin, cos coefficients */ public PlanetaryNutModel( int nl, int nf, int nd, int nom, int nme, int nve, int nea, int nma, int nju, int nsa, int nur, int nne, int npa, int sp,int cp, int se,int ce ) { this.nl = nl; /* coefficients of l, F, D and Omega */ this.nf = nf; this.nd = nd; this.nom = nom; this.nme = nme; /* coefficients of planetary longitudes */ this.nve = nve; this.nea = nea; this.nma = nma; this.nju = nju; this.nsa = nsa; this.nur = nur; this.nne = nne; this.npa = npa; /* coefficient of general precession */ this.sp = sp; this.cp = cp; /* longitude sin, cos coefficients */ this.se = se; this.ce = ce; /* obliquity sin, cos coefficients */ } } /** * Nutation, IAU 2000A model (MHB2000 luni-solar and planetary nutation * with free core nutation omitted). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return returned nutation, luni-solar + planetary (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Chapront, J., Chapront-Touze, M. & Francou, G. 2002, * Astron.Astrophys. 387, 700 * *
Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, * Astron.Astrophys. 58, 1-16 * *
Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. * 107, B4. The MHB_2000 code itself was obtained on 9th September * 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A. * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *
Wallace, P.T., "Software for Implementing the IAU 2000 * Resolutions", in IERS Workshop 5.1 (2002) * *@version 2009 December 17 * * @since Release 20101201 * * */ public static NutationTerms jauNut00a(double date1, double date2 ) { int i; double t, el, elp, f, d, om, arg, dp, de, sarg, carg, al, af, ad, aom, alme, alve, alea, alma, alju, alsa, alur, alne, apa, dpsils, depsls, dpsipl, depspl; /* Units of 0.1 microarcsecond to radians */ final double U2R = DAS2R / 1e7; /* ------------------------- */ /* Luni-Solar nutation model */ /* ------------------------- */ /* The units for the sine and cosine coefficients are */ /* 0.1 microarcsecond and the same per Julian century */ NutationModel xls[] = { /* 1- 10 */ new NutationModel( 0, 0, 0, 0, 1, -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0), new NutationModel( 0, 0, 2,-2, 2, -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0), new NutationModel( 0, 0, 2, 0, 2,-2276413.0,-234.0,2796.0,978459.0,-485.0, 1374.0), new NutationModel( 0, 0, 0, 0, 2,2074554.0, 207.0, -698.0,-897492.0,470.0, -291.0), new NutationModel( 0, 1, 0, 0, 0,1475877.0,-3633.0,11817.0,73871.0,-184.0,-1924.0), new NutationModel( 0, 1, 2,-2, 2,-516821.0,1226.0, -524.0,224386.0,-677.0, -174.0), new NutationModel( 1, 0, 0, 0, 0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0), new NutationModel( 0, 0, 2, 0, 1,-387298.0,-367.0, 380.0, 200728.0, 18.0, 318.0), new NutationModel( 1, 0, 2, 0, 2,-301461.0, -36.0, 816.0, 129025.0,-63.0, 367.0), new NutationModel( 0,-1, 2,-2, 2, 215829.0,-494.0, 111.0, -95929.0,299.0, 132.0), /* 11-20 */ new NutationModel( 0, 0, 2,-2, 1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0), new NutationModel(-1, 0, 2, 0, 2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0), new NutationModel(-1, 0, 0, 2, 0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0), new NutationModel( 1, 0, 0, 0, 1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0), new NutationModel(-1, 0, 0, 0, 1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0), new NutationModel(-1, 0, 2, 2, 2, -59641.0, -11.0, 149.0, 25543.0,-11.0, 66.0), new NutationModel( 1, 0, 2, 0, 1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0), new NutationModel(-2, 0, 2, 0, 1, 45893.0, 50.0, 31.0, -24236.0,-10.0, 20.0), new NutationModel( 0, 0, 0, 2, 0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0), new NutationModel( 0, 0, 2, 2, 2, -38571.0, -1.0, 158.0, 16452.0,-11.0, 68.0), /* 21-30 */ new NutationModel( 0,-2, 2,-2, 2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 2, 0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0), new NutationModel( 2, 0, 2, 0, 2, -31046.0, -1.0, 131.0, 13238.0,-11.0, 59.0), new NutationModel( 1, 0, 2,-2, 2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0), new NutationModel(-1, 0, 2, 0, 1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0), new NutationModel( 2, 0, 0, 0, 0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0), new NutationModel( 0, 0, 2, 0, 0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0), new NutationModel( 0, 1, 0, 0, 1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0), new NutationModel(-1, 0, 0, 2, 1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0), new NutationModel( 0, 2, 2,-2, 2, -15794.0, 72.0, -16.0, 6850.0,-42.0, -5.0), /* 31-40 */ new NutationModel( 0, 0,-2, 2, 0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0), new NutationModel( 1, 0, 0,-2, 1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0), new NutationModel( 0,-1, 0, 0, 1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0), new NutationModel(-1, 0, 2, 2, 1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0), new NutationModel( 0, 2, 0, 0, 0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0), new NutationModel( 1, 0, 2, 2, 2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0), new NutationModel(-2, 0, 2, 0, 0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0), new NutationModel( 0, 1, 2, 0, 2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0), new NutationModel( 0, 0, 2, 2, 1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0), new NutationModel( 0,-1, 2, 0, 2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0), /* 41-50 */ new NutationModel( 0, 0, 0, 2, 1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0), new NutationModel( 1, 0, 2,-2, 1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0), new NutationModel( 2, 0, 2,-2, 2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0), new NutationModel(-2, 0, 0, 2, 1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0), new NutationModel( 2, 0, 2, 0, 1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0), new NutationModel( 0,-1, 2,-2, 1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0), new NutationModel( 0, 0, 0,-2, 1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0), new NutationModel(-1,-1, 0, 2, 0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0), new NutationModel( 2, 0, 0,-2, 1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0), new NutationModel( 1, 0, 0, 2, 0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0), /* 51-60 */ new NutationModel( 0, 1, 2,-2, 1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0), new NutationModel( 1,-1, 0, 0, 0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0), new NutationModel(-2, 0, 2, 0, 2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0), new NutationModel( 3, 0, 2, 0, 2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0), new NutationModel( 0,-1, 0, 2, 0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0), new NutationModel( 1,-1, 2, 0, 2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0), new NutationModel( 0, 0, 0, 1, 0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0), new NutationModel(-1,-1, 2, 2, 2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0), new NutationModel(-1, 0, 2, 0, 0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0), new NutationModel( 0,-1, 2, 2, 2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0), /* 61-70 */ new NutationModel(-2, 0, 0, 0, 1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0), new NutationModel( 1, 1, 2, 0, 2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0), new NutationModel( 2, 0, 0, 0, 1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0), new NutationModel(-1, 1, 0, 1, 0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0), new NutationModel( 1, 1, 0, 0, 0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0), new NutationModel( 1, 0, 2, 0, 0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0), new NutationModel(-1, 0, 2,-2, 1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0), new NutationModel( 1, 0, 0, 0, 2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 1, 0, 4026.0, 0.0, -353.0, -553.0, 0.0, -139.0), new NutationModel( 0, 0, 2, 1, 2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0), /* 71-80 */ new NutationModel(-1, 0, 2, 4, 2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0), new NutationModel(-1, 1, 0, 1, 1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0), new NutationModel( 0,-2, 2,-2, 1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 2, 1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0), new NutationModel(-2, 0, 2, 2, 2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0), new NutationModel(-1, 0, 0, 0, 2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0), new NutationModel( 1, 1, 2,-2, 2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 4, 2, -1214.0, 0.0, 5.0, 518.0, 0.0, 2.0), new NutationModel(-1, 0, 4, 0, 2, 1146.0, 0.0, -3.0, -490.0, 0.0, -1.0), new NutationModel( 2, 0, 2,-2, 1, 1019.0, 0.0, -1.0, -527.0, 0.0, -1.0), /* 81-90 */ new NutationModel( 2, 0, 2, 2, 2, -1100.0, 0.0, 9.0, 465.0, 0.0, 4.0), new NutationModel( 1, 0, 0, 2, 1, -970.0, 0.0, 2.0, 496.0, 0.0, 1.0), new NutationModel( 3, 0, 0, 0, 0, 1575.0, 0.0, -6.0, -50.0, 0.0, 0.0), new NutationModel( 3, 0, 2,-2, 2, 934.0, 0.0, -3.0, -399.0, 0.0, -1.0), new NutationModel( 0, 0, 4,-2, 2, 922.0, 0.0, -1.0, -395.0, 0.0, -1.0), new NutationModel( 0, 1, 2, 0, 1, 815.0, 0.0, -1.0, -422.0, 0.0, -1.0), new NutationModel( 0, 0,-2, 2, 1, 834.0, 0.0, 2.0, -440.0, 0.0, 1.0), new NutationModel( 0, 0, 2,-2, 3, 1248.0, 0.0, 0.0, -170.0, 0.0, 1.0), new NutationModel(-1, 0, 0, 4, 0, 1338.0, 0.0, -5.0, -39.0, 0.0, 0.0), new NutationModel( 2, 0,-2, 0, 1, 716.0, 0.0, -2.0, -389.0, 0.0, -1.0), /* 91-100 */ new NutationModel(-2, 0, 0, 4, 0, 1282.0, 0.0, -3.0, -23.0, 0.0, 1.0), new NutationModel(-1,-1, 0, 2, 1, 742.0, 0.0, 1.0, -391.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 1, 1, 1020.0, 0.0, -25.0, -495.0, 0.0, -10.0), new NutationModel( 0, 1, 0, 0, 2, 715.0, 0.0, -4.0, -326.0, 0.0, 2.0), new NutationModel( 0, 0,-2, 0, 1, -666.0, 0.0, -3.0, 369.0, 0.0, -1.0), new NutationModel( 0,-1, 2, 0, 1, -667.0, 0.0, 1.0, 346.0, 0.0, 1.0), new NutationModel( 0, 0, 2,-1, 2, -704.0, 0.0, 0.0, 304.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 4, 2, -694.0, 0.0, 5.0, 294.0, 0.0, 2.0), new NutationModel(-2,-1, 0, 2, 0, -1014.0, 0.0, -1.0, 4.0, 0.0, -1.0), new NutationModel( 1, 1, 0,-2, 1, -585.0, 0.0, -2.0, 316.0, 0.0, -1.0), /* 101-110 */ new NutationModel(-1, 1, 0, 2, 0, -949.0, 0.0, 1.0, 8.0, 0.0, -1.0), new NutationModel(-1, 1, 0, 1, 2, -595.0, 0.0, 0.0, 258.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 0, 1, 528.0, 0.0, 0.0, -279.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 2, 2, -590.0, 0.0, 4.0, 252.0, 0.0, 2.0), new NutationModel(-1, 1, 2, 2, 2, 570.0, 0.0, -2.0, -244.0, 0.0, -1.0), new NutationModel( 3, 0, 2, 0, 1, -502.0, 0.0, 3.0, 250.0, 0.0, 2.0), new NutationModel( 0, 1,-2, 2, 0, -875.0, 0.0, 1.0, 29.0, 0.0, 0.0), new NutationModel(-1, 0, 0,-2, 1, -492.0, 0.0, -3.0, 275.0, 0.0, -1.0), new NutationModel( 0, 1, 2, 2, 2, 535.0, 0.0, -2.0, -228.0, 0.0, -1.0), new NutationModel(-1,-1, 2, 2, 1, -467.0, 0.0, 1.0, 240.0, 0.0, 1.0), /* 111-120 */ new NutationModel( 0,-1, 0, 0, 2, 591.0, 0.0, 0.0, -253.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-4, 1, -453.0, 0.0, -1.0, 244.0, 0.0, -1.0), new NutationModel(-1, 0,-2, 2, 0, 766.0, 0.0, 1.0, 9.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 2, 1, -446.0, 0.0, 2.0, 225.0, 0.0, 1.0), new NutationModel( 2,-1, 2, 0, 2, -488.0, 0.0, 2.0, 207.0, 0.0, 1.0), new NutationModel( 0, 0, 0, 2, 2, -468.0, 0.0, 0.0, 201.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 0, 1, -421.0, 0.0, 1.0, 216.0, 0.0, 1.0), new NutationModel(-1, 1, 2, 0, 2, 463.0, 0.0, 0.0, -200.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 2, 0, -673.0, 0.0, 2.0, 14.0, 0.0, 0.0), new NutationModel( 0,-1,-2, 2, 0, 658.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 121-130 */ new NutationModel( 0, 3, 2,-2, 2, -438.0, 0.0, 0.0, 188.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 1, 1, -390.0, 0.0, 0.0, 205.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 2, 0, 639.0, -11.0, -2.0, -19.0, 0.0, 0.0), new NutationModel( 2, 1, 2, 0, 2, 412.0, 0.0, -2.0, -176.0, 0.0, -1.0), new NutationModel( 1, 1, 0, 0, 1, -361.0, 0.0, 0.0, 189.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 0, 1, 360.0, 0.0, -1.0, -185.0, 0.0, -1.0), new NutationModel( 2, 0, 0, 2, 0, 588.0, 0.0, -3.0, -24.0, 0.0, 0.0), new NutationModel( 1, 0,-2, 2, 0, -578.0, 0.0, 1.0, 5.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 2, 2, -396.0, 0.0, 0.0, 171.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 1, 0, 565.0, 0.0, -1.0, -6.0, 0.0, 0.0), /* 131-140 */ new NutationModel( 0, 1, 0,-2, 1, -335.0, 0.0, -1.0, 184.0, 0.0, -1.0), new NutationModel(-1, 0, 2,-2, 2, 357.0, 0.0, 1.0, -154.0, 0.0, 0.0), new NutationModel( 0, 0, 0,-1, 1, 321.0, 0.0, 1.0, -174.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 0, 1, -301.0, 0.0, -1.0, 162.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-1, 2, -334.0, 0.0, 0.0, 144.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 2, 0, 493.0, 0.0, -2.0, -15.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 4, 0, 494.0, 0.0, -2.0, -19.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 1, 2, 337.0, 0.0, -1.0, -143.0, 0.0, -1.0), new NutationModel( 0, 0, 2, 1, 1, 280.0, 0.0, -1.0, -144.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-2, 2, 309.0, 0.0, 1.0, -134.0, 0.0, 0.0), /* 141-150 */ new NutationModel(-1, 0, 2, 4, 1, -263.0, 0.0, 2.0, 131.0, 0.0, 1.0), new NutationModel( 1, 0,-2, 0, 1, 253.0, 0.0, 1.0, -138.0, 0.0, 0.0), new NutationModel( 1, 1, 2,-2, 1, 245.0, 0.0, 0.0, -128.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 2, 0, 416.0, 0.0, -2.0, -17.0, 0.0, 0.0), new NutationModel(-1, 0, 2,-1, 1, -229.0, 0.0, 0.0, 128.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 2, 1, 231.0, 0.0, 0.0, -120.0, 0.0, 0.0), new NutationModel( 4, 0, 2, 0, 2, -259.0, 0.0, 2.0, 109.0, 0.0, 1.0), new NutationModel( 2,-1, 0, 0, 0, 375.0, 0.0, -1.0, -8.0, 0.0, 0.0), new NutationModel( 2, 1, 2,-2, 2, 252.0, 0.0, 0.0, -108.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 1, 2, -245.0, 0.0, 1.0, 104.0, 0.0, 0.0), /* 151-160 */ new NutationModel( 1, 0, 4,-2, 2, 243.0, 0.0, -1.0, -104.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 0, 1, 208.0, 0.0, 1.0, -112.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 2, 1, 199.0, 0.0, 0.0, -102.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 4, 1, -208.0, 0.0, 1.0, 105.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 0, 0, 335.0, 0.0, -2.0, -14.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 1, 0, -325.0, 0.0, 1.0, 7.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 4, 1, -187.0, 0.0, 0.0, 96.0, 0.0, 0.0), new NutationModel(-1, 0, 4, 0, 1, 197.0, 0.0, -1.0, -100.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 2, 1, -192.0, 0.0, 2.0, 94.0, 0.0, 1.0), new NutationModel( 0, 0, 2,-3, 2, -188.0, 0.0, 0.0, 83.0, 0.0, 0.0), /* 161-170 */ new NutationModel(-1,-2, 0, 2, 0, 276.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 1, 0, 0, 0, -286.0, 0.0, 1.0, 6.0, 0.0, 0.0), new NutationModel( 0, 0, 4, 0, 2, 186.0, 0.0, -1.0, -79.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 0, 3, -219.0, 0.0, 0.0, 43.0, 0.0, 0.0), new NutationModel( 0, 3, 0, 0, 0, 276.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 2,-4, 1, -153.0, 0.0, -1.0, 84.0, 0.0, 0.0), new NutationModel( 0,-1, 0, 2, 1, -156.0, 0.0, 0.0, 81.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 4, 1, -154.0, 0.0, 1.0, 78.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 4, 2, -174.0, 0.0, 1.0, 75.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 4, 2, -163.0, 0.0, 2.0, 69.0, 0.0, 1.0), /* 171-180 */ new NutationModel(-2, 2, 0, 2, 0, -228.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 0, 1, 91.0, 0.0, -4.0, -54.0, 0.0, -2.0), new NutationModel(-2, 0, 0, 2, 2, 175.0, 0.0, 0.0, -75.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 0, 2, -159.0, 0.0, 0.0, 69.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-2, 1, 141.0, 0.0, 0.0, -72.0, 0.0, 0.0), new NutationModel( 3, 0, 2,-2, 1, 147.0, 0.0, 0.0, -75.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 2, 1, -132.0, 0.0, 0.0, 69.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-1, 1, 159.0, 0.0, -28.0, -54.0, 0.0, 11.0), new NutationModel( 0,-2, 0, 2, 0, 213.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 4, 1, 123.0, 0.0, 0.0, -64.0, 0.0, 0.0), /* 181-190 */ new NutationModel(-3, 0, 0, 0, 1, -118.0, 0.0, -1.0, 66.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 2, 2, 144.0, 0.0, -1.0, -61.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 4, 1, -121.0, 0.0, 1.0, 60.0, 0.0, 0.0), new NutationModel( 3, 0, 2, 2, 2, -134.0, 0.0, 1.0, 56.0, 0.0, 1.0), new NutationModel(-1, 1, 2,-2, 1, -105.0, 0.0, 0.0, 57.0, 0.0, 0.0), new NutationModel( 2, 0, 0,-4, 1, -102.0, 0.0, 0.0, 56.0, 0.0, 0.0), new NutationModel( 0, 0, 0,-2, 2, 120.0, 0.0, 0.0, -52.0, 0.0, 0.0), new NutationModel( 2, 0, 2,-4, 1, 101.0, 0.0, 0.0, -54.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 2, 1, -113.0, 0.0, 0.0, 59.0, 0.0, 0.0), new NutationModel( 0, 0, 2,-1, 1, -106.0, 0.0, 0.0, 61.0, 0.0, 0.0), /* 191-200 */ new NutationModel( 0,-2, 2, 2, 2, -129.0, 0.0, 1.0, 55.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 2, 1, -114.0, 0.0, 0.0, 57.0, 0.0, 0.0), new NutationModel( 4, 0, 2,-2, 2, 113.0, 0.0, -1.0, -49.0, 0.0, 0.0), new NutationModel( 2, 0, 0,-2, 2, -102.0, 0.0, 0.0, 44.0, 0.0, 0.0), new NutationModel( 0, 2, 0, 0, 1, -94.0, 0.0, 0.0, 51.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-4, 1, -100.0, 0.0, -1.0, 56.0, 0.0, 0.0), new NutationModel( 0, 2, 2,-2, 1, 87.0, 0.0, 0.0, -47.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 4, 0, 161.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 0, 1, 96.0, 0.0, 0.0, -50.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 4, 0, 151.0, 0.0, -1.0, -5.0, 0.0, 0.0), /* 201-210 */ new NutationModel(-1,-2, 2, 2, 2, -104.0, 0.0, 0.0, 44.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 4, 2, -110.0, 0.0, 0.0, 48.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 2, 1, -100.0, 0.0, 1.0, 50.0, 0.0, 0.0), new NutationModel(-2, 1, 0, 2, 0, 92.0, 0.0, -5.0, 12.0, 0.0, -2.0), new NutationModel(-2, 1, 2, 0, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0), new NutationModel( 2, 1, 0,-2, 1, 82.0, 0.0, 0.0, -45.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 0, 1, -78.0, 0.0, 0.0, 41.0, 0.0, 0.0), new NutationModel(-2, 0, 2,-2, 1, -77.0, 0.0, 0.0, 43.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 2, 2, 2.0, 0.0, 0.0, 54.0, 0.0, 0.0), new NutationModel( 0,-1, 2,-1, 2, 94.0, 0.0, 0.0, -40.0, 0.0, 0.0), /* 211-220 */ new NutationModel(-1, 0, 4,-2, 2, -93.0, 0.0, 0.0, 40.0, 0.0, 0.0), new NutationModel( 0,-2, 2, 0, 2, -83.0, 0.0, 10.0, 40.0, 0.0, -2.0), new NutationModel(-1, 0, 2, 1, 2, 83.0, 0.0, 0.0, -36.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 0, 2, -91.0, 0.0, 0.0, 39.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 0, 3, 128.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-2, 0, 4, 0, 2, -79.0, 0.0, 0.0, 34.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 0, 1, -83.0, 0.0, 0.0, 47.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 2, 1, 84.0, 0.0, 0.0, -44.0, 0.0, 0.0), new NutationModel( 3, 0, 0, 0, 1, 83.0, 0.0, 0.0, -43.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 3, 2, 91.0, 0.0, 0.0, -39.0, 0.0, 0.0), /* 221-230 */ new NutationModel( 2,-1, 2, 0, 1, -77.0, 0.0, 0.0, 39.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 2, 1, 84.0, 0.0, 0.0, -43.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 4, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0), new NutationModel( 2,-1, 2, 2, 2, -92.0, 0.0, 1.0, 39.0, 0.0, 0.0), new NutationModel( 0, 2,-2, 2, 0, -94.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 2,-1, 1, 68.0, 0.0, 0.0, -36.0, 0.0, 0.0), new NutationModel( 0,-2, 0, 0, 1, -61.0, 0.0, 0.0, 32.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-4, 2, 71.0, 0.0, 0.0, -31.0, 0.0, 0.0), new NutationModel( 1,-1, 0,-2, 1, 62.0, 0.0, 0.0, -34.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 0, 1, -63.0, 0.0, 0.0, 33.0, 0.0, 0.0), /* 231-240 */ new NutationModel( 1,-1, 2,-2, 2, -73.0, 0.0, 0.0, 32.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 4, 0, 115.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 3, 0, -103.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 2, 2, 63.0, 0.0, 0.0, -28.0, 0.0, 0.0), new NutationModel( 0, 2, 2, 0, 2, 74.0, 0.0, 0.0, -32.0, 0.0, 0.0), new NutationModel( 1, 1, 0, 2, 0, -103.0, 0.0, -3.0, 3.0, 0.0, -1.0), new NutationModel( 2, 0, 2,-1, 2, -69.0, 0.0, 0.0, 30.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 1, 1, 57.0, 0.0, 0.0, -29.0, 0.0, 0.0), new NutationModel( 4, 0, 0, 0, 0, 94.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 2, 1, 2, 0, 1, 64.0, 0.0, 0.0, -33.0, 0.0, 0.0), /* 241-250 */ new NutationModel( 3,-1, 2, 0, 2, -63.0, 0.0, 0.0, 26.0, 0.0, 0.0), new NutationModel(-2, 2, 0, 2, 1, -38.0, 0.0, 0.0, 20.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-3, 1, -43.0, 0.0, 0.0, 24.0, 0.0, 0.0), new NutationModel( 1, 1, 2,-4, 1, -45.0, 0.0, 0.0, 23.0, 0.0, 0.0), new NutationModel(-1,-1, 2,-2, 1, 47.0, 0.0, 0.0, -24.0, 0.0, 0.0), new NutationModel( 0,-1, 0,-1, 1, -48.0, 0.0, 0.0, 25.0, 0.0, 0.0), new NutationModel( 0,-1, 0,-2, 1, 45.0, 0.0, 0.0, -26.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 0, 2, 56.0, 0.0, 0.0, -25.0, 0.0, 0.0), new NutationModel(-2, 0,-2, 2, 0, 88.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 4, 0, -75.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 251-260 */ new NutationModel( 1,-2, 0, 0, 0, 85.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 1, 1, 49.0, 0.0, 0.0, -26.0, 0.0, 0.0), new NutationModel(-1, 2, 0, 2, 0, -74.0, 0.0, -3.0, -1.0, 0.0, -1.0), new NutationModel( 1,-1, 2,-2, 1, -39.0, 0.0, 0.0, 21.0, 0.0, 0.0), new NutationModel( 1, 2, 2,-2, 2, 45.0, 0.0, 0.0, -20.0, 0.0, 0.0), new NutationModel( 2,-1, 2,-2, 2, 51.0, 0.0, 0.0, -22.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-1, 1, -40.0, 0.0, 0.0, 21.0, 0.0, 0.0), new NutationModel( 2, 1, 2,-2, 1, 41.0, 0.0, 0.0, -21.0, 0.0, 0.0), new NutationModel(-2, 0, 0,-2, 1, -42.0, 0.0, 0.0, 24.0, 0.0, 0.0), new NutationModel( 1,-2, 2, 0, 2, -51.0, 0.0, 0.0, 22.0, 0.0, 0.0), /* 261-270 */ new NutationModel( 0, 1, 2, 1, 1, -42.0, 0.0, 0.0, 22.0, 0.0, 0.0), new NutationModel( 1, 0, 4,-2, 1, 39.0, 0.0, 0.0, -21.0, 0.0, 0.0), new NutationModel(-2, 0, 4, 2, 2, 46.0, 0.0, 0.0, -18.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 1, 2, -53.0, 0.0, 0.0, 22.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 4, 0, 82.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 2, 0, 81.0, 0.0, -1.0, -4.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 1, 2, 47.0, 0.0, 0.0, -19.0, 0.0, 0.0), new NutationModel( 3, 1, 2, 0, 2, 53.0, 0.0, 0.0, -23.0, 0.0, 0.0), new NutationModel( 4, 0, 2, 0, 1, -45.0, 0.0, 0.0, 22.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 0, 0, -44.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 271-280 */ new NutationModel( 0, 1,-2, 2, 1, -33.0, 0.0, 0.0, 16.0, 0.0, 0.0), new NutationModel( 1, 0,-2, 1, 0, -61.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 0,-1,-2, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0), new NutationModel( 2,-1, 0,-2, 1, -38.0, 0.0, 0.0, 19.0, 0.0, 0.0), new NutationModel(-1, 0, 2,-1, 2, -33.0, 0.0, 0.0, 21.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-3, 2, -60.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 2,-2, 3, 48.0, 0.0, 0.0, -10.0, 0.0, 0.0), new NutationModel( 0, 0, 2,-3, 1, 27.0, 0.0, 0.0, -14.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 2, 1, 38.0, 0.0, 0.0, -20.0, 0.0, 0.0), new NutationModel( 0, 0, 2,-4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0), /* 281-290 */ new NutationModel(-2, 1, 0, 0, 1, -29.0, 0.0, 0.0, 15.0, 0.0, 0.0), new NutationModel(-1, 0, 0,-1, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0), new NutationModel( 2, 0, 2,-4, 2, -32.0, 0.0, 0.0, 15.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-4, 4, 45.0, 0.0, 0.0, -8.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-4, 2, -44.0, 0.0, 0.0, 19.0, 0.0, 0.0), new NutationModel(-1,-2, 0, 2, 1, 28.0, 0.0, 0.0, -15.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 3, 0, -51.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0,-2, 2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 2, 2, 44.0, 0.0, 0.0, -19.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 2, 1, 26.0, 0.0, 0.0, -14.0, 0.0, 0.0), /* 291-300 */ new NutationModel(-2, 0, 2, 2, 0, -60.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2,-1, 0, 0, 1, 35.0, 0.0, 0.0, -18.0, 0.0, 0.0), new NutationModel(-2, 1, 2, 2, 2, -27.0, 0.0, 0.0, 11.0, 0.0, 0.0), new NutationModel( 1, 1, 0, 1, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0, 1, 4,-2, 2, 36.0, 0.0, 0.0, -15.0, 0.0, 0.0), new NutationModel(-1, 1, 0,-2, 1, -36.0, 0.0, 0.0, 20.0, 0.0, 0.0), new NutationModel( 0, 0, 0,-4, 1, -35.0, 0.0, 0.0, 19.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 2, 1, -37.0, 0.0, 0.0, 19.0, 0.0, 0.0), new NutationModel( 1, 1, 0, 2, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0), new NutationModel(-1, 2, 2, 2, 2, 35.0, 0.0, 0.0, -14.0, 0.0, 0.0), /* 301-310 */ new NutationModel( 3, 1, 2,-2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0), new NutationModel( 0,-1, 0, 4, 0, 65.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2,-1, 0, 2, 0, 47.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0, 0, 4, 0, 1, 32.0, 0.0, 0.0, -16.0, 0.0, 0.0), new NutationModel( 2, 0, 4,-2, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 4, 1, -30.0, 0.0, 0.0, 15.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 4, 1, -32.0, 0.0, 0.0, 16.0, 0.0, 0.0), new NutationModel( 1,-2, 2, 2, 2, -31.0, 0.0, 0.0, 13.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 3, 2, 37.0, 0.0, 0.0, -16.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 4, 2, 31.0, 0.0, 0.0, -13.0, 0.0, 0.0), /* 311-320 */ new NutationModel( 3, 0, 0, 2, 0, 49.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 0, 4, 2, 2, 32.0, 0.0, 0.0, -13.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 2, 1, 23.0, 0.0, 0.0, -12.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 6, 2, -43.0, 0.0, 0.0, 18.0, 0.0, 0.0), new NutationModel( 2, 1, 2, 2, 2, 26.0, 0.0, 0.0, -11.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 6, 2, -32.0, 0.0, 0.0, 14.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 4, 1, -29.0, 0.0, 0.0, 14.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 4, 2, -27.0, 0.0, 0.0, 12.0, 0.0, 0.0), new NutationModel( 1, 1,-2, 1, 0, 30.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3, 1, 2, 1, 2, -11.0, 0.0, 0.0, 5.0, 0.0, 0.0), /* 321-330 */ new NutationModel( 2, 0,-2, 0, 2, -21.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 1, 2, -34.0, 0.0, 0.0, 15.0, 0.0, 0.0), new NutationModel(-4, 0, 2, 2, 1, -10.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 1, 0, -36.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0,-2, 2, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-1, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 0,-1, 2,-2, 3, -21.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel(-2, 1, 2, 0, 0, -29.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0, 0, 2,-2, 4, -15.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-2,-2, 0, 2, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 331-340 */ new NutationModel(-2, 0,-2, 4, 0, 28.0, 0.0, 0.0, 0.0, 0.0, -2.0), new NutationModel( 0,-2,-2, 2, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 2, 0,-2, 1, -22.0, 0.0, 0.0, 12.0, 0.0, 0.0), new NutationModel( 3, 0, 0,-4, 1, -14.0, 0.0, 0.0, 7.0, 0.0, 0.0), new NutationModel(-1, 1, 2,-2, 2, 24.0, 0.0, 0.0, -11.0, 0.0, 0.0), new NutationModel( 1,-1, 2,-4, 1, 11.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel( 1, 1, 0,-2, 2, 14.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 0, 0, 24.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 0, 2, 18.0, 0.0, 0.0, -8.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 1, 0, -38.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 341-350 */ new NutationModel( 0, 0,-2, 1, 0, -31.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 2, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0), new NutationModel(-1,-1,-2, 2, 0, 29.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 2,-4, 1, -18.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel( 2, 1, 0,-4, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 0, 2, 0,-2, 1, -17.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-3, 1, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel(-2, 0, 2,-2, 2, 16.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 0, 1, 22.0, 0.0, 0.0, -12.0, 0.0, 0.0), new NutationModel(-4, 0, 0, 2, 0, 20.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 351-360 */ new NutationModel( 1, 1, 0,-4, 1, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel(-1, 0, 2,-4, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-4, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0), new NutationModel( 0, 3, 2,-2, 2, 0.0, 0.0, 0.0, -7.0, 0.0, 0.0), new NutationModel(-3,-1, 0, 4, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 4, 1, 19.0, 0.0, 0.0, -10.0, 0.0, 0.0), new NutationModel( 1,-1,-2, 2, 0, -34.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 2, 2, -20.0, 0.0, 0.0, 8.0, 0.0, 0.0), new NutationModel( 1,-2, 0, 0, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 0, 2, -18.0, 0.0, 0.0, 7.0, 0.0, 0.0), /* 361-370 */ new NutationModel( 0, 0, 0, 1, 2, 13.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 0, 0, 17.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1,-2, 2,-2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 0,-1, 2,-1, 1, 15.0, 0.0, 0.0, -8.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 0, 3, -11.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 1, 1, 0, 0, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 0, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 2, 0, 0, 0, -35.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 2, 2, 0, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel(-1, 0, 4,-2, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0), /* 371-380 */ new NutationModel( 3, 0, 2,-4, 2, -26.0, 0.0, 0.0, 11.0, 0.0, 0.0), new NutationModel( 1, 2, 2,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 1, 0, 4,-4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 4, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel( 0,-1, 0, 2, 2, -21.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel(-2, 1, 0, 4, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 2, 1, 9.0, 0.0, 0.0, -5.0, 0.0, 0.0), new NutationModel( 2, 0,-2, 2, 0, -29.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 1, 1, -19.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0), /* 381-390 */ new NutationModel( 1,-1, 2,-1, 2, 22.0, 0.0, 0.0, -9.0, 0.0, 0.0), new NutationModel(-2, 0, 4, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 2, 1, 0, 0, 1, -20.0, 0.0, 0.0, 11.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 0, 0, -20.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0,-1, 4,-2, 2, -17.0, 0.0, 0.0, 7.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-2, 4, 15.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 0, 2, 2, 0, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 6, 0, 14.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 4, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel( 1,-2, 0, 2, 0, 25.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 391-400 */ new NutationModel(-1, 0, 0, 4, 2, -13.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel(-1,-2, 2, 2, 1, -14.0, 0.0, 0.0, 8.0, 0.0, 0.0), new NutationModel(-1, 0, 0,-2, 2, 13.0, 0.0, 0.0, -5.0, 0.0, 0.0), new NutationModel( 1, 0,-2,-2, 1, -17.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel( 0, 0,-2,-2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel(-2, 0,-2, 0, 1, -10.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 3, 1, 10.0, 0.0, 0.0, -6.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 3, 0, -15.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 4, 0, -22.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 2, 0, 28.0, 0.0, 0.0, -1.0, 0.0, 0.0), /* 401-410 */ new NutationModel(-2, 0, 2, 3, 2, 15.0, 0.0, 0.0, -7.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 2, 2, 23.0, 0.0, 0.0, -10.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 1, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0), new NutationModel( 3,-1, 0, 0, 0, 29.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 1, 0, -25.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 0, 0, 22.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 1, 0, -18.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 0, 3, 15.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 3, 1, 0, 0, 0, -23.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 3,-1, 2,-2, 2, 12.0, 0.0, 0.0, -5.0, 0.0, 0.0), /* 411-420 */ new NutationModel( 2, 0, 2,-1, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 0, 0, -19.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-1, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 1, 2, 2, 0, 2, 21.0, 0.0, 0.0, -9.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 6, 0, 23.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0,-1, 0, 4, 1, -16.0, 0.0, 0.0, 8.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 4, 1, -19.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel( 0,-2, 2, 2, 1, -22.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 2, 0, 27.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 3, 1, 16.0, 0.0, 0.0, -8.0, 0.0, 0.0), /* 421-430 */ new NutationModel(-2, 1, 2, 4, 2, 19.0, 0.0, 0.0, -8.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 2, 2, 9.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 2,-2, 2, 0, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 3, 2, -9.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 3, 0, 2,-1, 2, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 4, 0, 2,-2, 1, 18.0, 0.0, 0.0, -9.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 6, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-1,-2, 2, 4, 2, -10.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 6, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 4, 0, 16.0, 0.0, 0.0, -1.0, 0.0, 0.0), /* 431-440 */ new NutationModel( 3, 0, 0, 2, 1, -12.0, 0.0, 0.0, 6.0, 0.0, 0.0), new NutationModel( 3,-1, 2, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 3, 0, 2, 0, 0, 30.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 1, 0, 4, 0, 2, 24.0, 0.0, 0.0, -10.0, 0.0, 0.0), new NutationModel( 5, 0, 2,-2, 2, 10.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 4, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0), new NutationModel( 2,-1, 2, 2, 1, -16.0, 0.0, 0.0, 7.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 4, 2, 17.0, 0.0, 0.0, -7.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 4, 2, -24.0, 0.0, 0.0, 10.0, 0.0, 0.0), new NutationModel( 3,-1, 2, 2, 2, -12.0, 0.0, 0.0, 5.0, 0.0, 0.0), /* 441-450 */ new NutationModel( 3, 0, 2, 2, 1, -24.0, 0.0, 0.0, 11.0, 0.0, 0.0), new NutationModel( 5, 0, 2, 0, 2, -23.0, 0.0, 0.0, 9.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 6, 2, -13.0, 0.0, 0.0, 5.0, 0.0, 0.0), new NutationModel( 4, 0, 2, 2, 2, -15.0, 0.0, 0.0, 7.0, 0.0, 0.0), new NutationModel( 0,-1, 1,-1, 1, 0.0, 0.0,-1988.0, 0.0, 0.0,-1679.0), new NutationModel(-1, 0, 1, 0, 3, 0.0, 0.0, -63.0, 0.0, 0.0, -27.0), new NutationModel( 0,-2, 2,-2, 3, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0,-1, 0, 1, 0.0, 0.0, 5.0, 0.0, 0.0, 4.0), new NutationModel( 2,-2, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-1, 0, 1, 0, 2, 0.0, 0.0, 364.0, 0.0, 0.0, 176.0), /* 451-460 */ new NutationModel(-1, 0, 1, 0, 1, 0.0, 0.0,-1044.0, 0.0, 0.0, -891.0), new NutationModel(-1,-1, 2,-1, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-2, 2, 0, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 0, 1, 0, 0, 0.0, 0.0, 330.0, 0.0, 0.0, 0.0), new NutationModel(-4, 1, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 1, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 1, 0,-2, 1, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2,-1,-2, 0, 1, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-4, 0, 2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 461-470 */ new NutationModel(-3, 1, 0, 3, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 0,-1, 2, 0, 0.0, 0.0, 5.0, 0.0, 0.0, 0.0), new NutationModel( 0,-2, 0, 0, 2, 0.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 0,-2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-4, 0, 0, 4, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 1,-2, 0, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 2,-1, 0,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), /* 471-480 */ new NutationModel( 0, 0, 1,-1, 0, -5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 2, 0, 1, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 1, 2, 0, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 1, 1, 0,-1, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 1, 0, 1,-2, 1, 0.0, 0.0, -12.0, 0.0, 0.0, -10.0), new NutationModel( 0, 2, 0, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 1,-1, 2,-3, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 1, 2,-1, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2, 0, 4,-2, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-2, 0, 4,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), /* 481-490 */ new NutationModel(-2,-2, 0, 2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-2, 0,-2, 4, 0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 2, 2,-4, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 1, 1, 2,-4, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-1, 2, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2, 0, 0,-3, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 2, 0, 0, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 0, 0, 0,-2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 2,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 491-500 */ new NutationModel( 0, 0, 0,-1, 2, -8.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-2, 1, 0, 1, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1,-2, 0,-2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 1, 0,-2, 0, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-3, 1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 1,-2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 2, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3,-1, 0, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), /* 501-510 */ new NutationModel( 0, 1, 2,-4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-2, 1, 2,-2, 1, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0,-1, 2,-4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 0, 1, 0,-2, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-1, 0, 0,-2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 0,-2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-4, 0, 2, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1,-1, 0,-1, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0,-2, 0, 2, 9.0, 0.0, 0.0, -3.0, 0.0, 0.0), /* 511-520 */ new NutationModel(-3, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 0,-2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 0, 0,-4, 2, 0, 8.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2,-1,-2, 2, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 0, 2,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 1, 0, 0,-4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 2, 1, 2,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 2, 1, 2,-4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), /* 521-530 */ new NutationModel( 0, 1, 4,-4, 4, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 4,-4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-1,-1,-2, 4, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 0,-2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0,-2, 3, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 3, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 0,-1, 0, 1, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 531-540 */ new NutationModel( 1, 1,-2, 2, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 1,-2, 2,-2, 1, 10.0, 0.0, 13.0, 6.0, 0.0, -5.0), new NutationModel( 0, 0, 1, 0, 2, 0.0, 0.0, 30.0, 0.0, 0.0, 14.0), new NutationModel( 0, 0, 1, 0, 1, 0.0, 0.0, -162.0, 0.0, 0.0, -138.0), new NutationModel( 0, 0, 1, 0, 0, 0.0, 0.0, 75.0, 0.0, 0.0, 0.0), new NutationModel(-1, 2, 0, 2, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 0, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 0, 0,-1, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 541-550 */ new NutationModel( 3, 0, 0,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 1, 0, 2,-2, 3, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 2, 0, 0, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2, 0, 2,-3, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 1, 4,-2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2,-2, 0, 4, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0,-3, 0, 2, 0, 9.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0,-2, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 3, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), /* 551-560 */ new NutationModel(-1, 0, 0, 3, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2,-2, 0, 0, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 1, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0,-2, 2, 0, 1, -6.0, 0.0, -3.0, 3.0, 0.0, 1.0), new NutationModel(-1, 0, 1, 2, 1, 0.0, 0.0, -3.0, 0.0, 0.0, -2.0), new NutationModel(-1, 1, 0, 3, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 1, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0,-1, 2, 0, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 1, 2, 2, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), /* 561-570 */ new NutationModel( 2,-2, 2,-2, 2, -1.0, 0.0, 3.0, 3.0, 0.0, -1.0), new NutationModel( 1, 1, 0, 1, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 1, 0, 1, 0, 1, 0.0, 0.0, -13.0, 0.0, 0.0, -11.0), new NutationModel( 1, 0, 1, 0, 0, 3.0, 0.0, 6.0, 0.0, 0.0, 0.0), new NutationModel( 0, 2, 0, 2, 0, -7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2,-1, 2,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 0,-1, 4,-2, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 0, 0, 4,-2, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 4, 0, 2,-4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0), /* 571-580 */ new NutationModel( 2, 2, 2,-2, 2, 8.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 2, 0, 4,-4, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1,-2, 0, 4, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1,-3, 2, 2, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 4, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-3, 0, 2,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1,-1, 0,-2, 1, 8.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel(-3, 0, 0, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-3, 0,-2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 0,-4, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), /* 581-590 */ new NutationModel(-2, 1, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-4, 0, 0, 0, 1, -8.0, 0.0, 0.0, 4.0, 0.0, 0.0), new NutationModel(-1, 0, 0,-4, 1, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-3, 0, 0,-2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 3, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-1, 1, 0, 4, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 1,-2, 2, 0, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 3, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 2, 3, 6.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 591-600 */ new NutationModel(-2, 0, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 3, 0, 0, 0, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2, 1, 0, 1, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2,-1, 2,-1, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 0, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 3, 0, 3, 0.0, 0.0, -26.0, 0.0, 0.0, -11.0), new NutationModel( 0, 0, 3, 0, 2, 0.0, 0.0, -10.0, 0.0, 0.0, -5.0), new NutationModel(-1, 2, 2, 2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-1, 0, 4, 0, 0, -13.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 601-610 */ new NutationModel( 1, 2, 2, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 3, 1, 2,-2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 1, 1, 4,-2, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-2,-1, 0, 6, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0,-2, 0, 4, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-2, 0, 0, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2,-2, 2, 4, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0,-3, 2, 2, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 4, 2, -7.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-1,-1, 2, 3, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 611-620 */ new NutationModel(-2, 0, 2, 4, 0, 13.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2,-1, 0, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 1, 0, 0, 3, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 4, 1, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 0, 1, 0, 4, 0, -11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 1, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 2, 3, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-2, 0, 4, 2, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), /* 621-630 */ new NutationModel( 2, 1, 0, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 1, 0, 2, 0, -12.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2,-1, 2, 0, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 1, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 2, 0, -4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 0, 3, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 3, 0, 2, 0, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 0, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 1, 0, 3, 0, 3, 0.0, 0.0, -5.0, 0.0, 0.0, -2.0), new NutationModel( 1, 1, 2, 1, 1, -7.0, 0.0, 0.0, 4.0, 0.0, 0.0), /* 631-640 */ new NutationModel( 0, 2, 2, 2, 2, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 2, 1, 2, 0, 0, -3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 0, 4,-2, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 4, 1, 2,-2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel(-1,-1, 0, 6, 0, 3.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel(-3,-1, 2, 6, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel(-1, 0, 0, 6, 1, -5.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-3, 0, 2, 6, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 1,-1, 0, 4, 0, 12.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 641-650 */ new NutationModel(-2, 0, 2, 5, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 1,-2, 2, 2, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 3,-1, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 2, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 3, 1, 5.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel(-1, 1, 2, 4, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 0, 1, 2, 3, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-1, 0, 4, 2, 1, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 1, 1, 6.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 5, 0, 0, 0, 0, 6.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 651-660 */ new NutationModel( 2, 1, 2, 1, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 1, 0, 4, 0, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 3, 1, 2, 0, 1, 7.0, 0.0, 0.0, -4.0, 0.0, 0.0), new NutationModel( 3, 0, 4,-2, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel(-2,-1, 2, 6, 2, -5.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 0, 6, 0, 5.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0,-2, 2, 4, 2, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel(-2, 0, 2, 6, 1, -6.0, 0.0, 0.0, 3.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 4, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 2, 0, 0, 4, 0, 10.0, 0.0, 0.0, 0.0, 0.0, 0.0), /* 661-670 */ new NutationModel( 2,-2, 2, 2, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 0, 0, 2, 4, 0, 7.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 1, 0, 2, 3, 2, 7.0, 0.0, 0.0, -3.0, 0.0, 0.0), new NutationModel( 4, 0, 0, 2, 0, 4.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 2, 0, 11.0, 0.0, 0.0, 0.0, 0.0, 0.0), new NutationModel( 0, 0, 4, 2, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 4,-1, 2, 0, 2, -6.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 3, 0, 2, 1, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 2, 1, 2, 2, 1, 3.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 4, 1, 2, 0, 2, 5.0, 0.0, 0.0, -2.0, 0.0, 0.0), /* 671-678 */ new NutationModel(-1,-1, 2, 6, 2, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel(-1, 0, 2, 6, 1, -4.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 1,-1, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0), new NutationModel( 1, 1, 2, 4, 2, 4.0, 0.0, 0.0, -2.0, 0.0, 0.0), new NutationModel( 3, 1, 2, 2, 2, 3.0, 0.0, 0.0, -1.0, 0.0, 0.0), new NutationModel( 5, 0, 2, 0, 1, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 2,-1, 2, 4, 2, -3.0, 0.0, 0.0, 1.0, 0.0, 0.0), new NutationModel( 2, 0, 2, 4, 1, -3.0, 0.0, 0.0, 2.0, 0.0, 0.0) }; /* Number of terms in the luni-solar nutation model */ final int NLS = xls.length; /* ------------------------ /* Planetary nutation model */ /* ------------------------ */ /* The units for the sine and cosine coefficients are */ /* 0.1 microarcsecond */ PlanetaryNutModel xpl[] = { /* 1-10 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 0, 1440, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -8, 16,-4,-5, 0, 0, 2, 56,-117, -42, -40), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 8,-16, 4, 5, 0, 0, 2, 125, -43, 0, -54), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 2, 2, 0, 5, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 8,-1,-5, 0, 0, 2, 3, -7, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 1, 3, 0, 0, -2), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, 3, -8, 3, 0, 0, 0, 0, -114, 0, 0, 61), new PlanetaryNutModel(-1, 0, 0, 0, 0, 10, -3, 0, 0, 0, 0, 0, 0, -219, 89, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0,-2, 6,-3, 0, 2, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, -462,1604, 0, 0), /* 11-20 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -5, 8,-3, 0, 0, 0, 0, 99, 0, 0, -53), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 8,-3, 0, 0, 0, 1, -3, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -8, 1, 5, 0, 0, 2, 0, 6, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 6, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 2, -12, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 1, 14,-218, 117, 8), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 2,-5, 0, 0, 0, 31,-481, -257, -17), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2,-5, 0, 0, 0, -491, 128, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-2, 5, 0, 0, 0,-3084,5123, 2735,1647), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 1,-1444,2409,-1286,-771), /* 21-30 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0,-2, 5, 0, 0, 2, 11, -24, -11, -9), new PlanetaryNutModel( 2,-1,-1, 0, 0, 0, 3, -7, 0, 0, 0, 0, 0, 26, -9, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 19,-21, 3, 0, 0, 0, 0, 0, 103, -60, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 2, -4, 0,-3, 0, 0, 0, 0, 0, -13, -7, 0), new PlanetaryNutModel( 1, 0,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -26, -29, -16, 14), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-4,10, 0, 0, 0, 9, -27, -14, -5), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 2, 0, 0,-5, 0, 0, 0, 12, 0, 0, -6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -7, 4, 0, 0, 0, 0, 0, -7, 0, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 1,-1, 0, 0, 0, 0, 24, 0, 0), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, 284, 0, 0,-151), /* 31-40 */ new PlanetaryNutModel(-1, 0, 0, 0, 0, 18,-16, 0, 0, 0, 0, 0, 0, 226, 101, 0, 0), new PlanetaryNutModel(-2, 1, 1, 2, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -8, -2, 0), new PlanetaryNutModel(-1, 1,-1, 1, 0, 18,-17, 0, 0, 0, 0, 0, 0, 0, -6, -3, 0), new PlanetaryNutModel(-1, 0, 1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 2, -41, 175, 76, 17), new PlanetaryNutModel( 0, 2,-2, 2, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 15, 6, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 13, 0, 0, 0, 0, 0, 1, 425, 212, -133, 269), new PlanetaryNutModel( 0, 1,-1, 1, 0, -8, 12, 0, 0, 0, 0, 0, 0, 1200, 598, 319,-641), new PlanetaryNutModel( 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 0, 235, 334, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 8,-14, 0, 0, 0, 0, 0, 0, 11, -12, -7, -6), /* 41-50 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 8,-13, 0, 0, 0, 0, 0, 1, 5, -6, 3, 3), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 2, 0,-4, 5, 0, 0, 0, -5, 0, 0, 3), new PlanetaryNutModel(-2, 0, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-3, 1, 0, 0, 0, 15, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 3, -5, 0, 2, 0, 0, 0, 0, 13, 0, 0, -7), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-4, 3, 0, 0, 0, -6, -9, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 266, -78, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -1, 2, 0, 0, 0, 0, 0, -460,-435, -232, 246), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 15, 7, 0), new PlanetaryNutModel(-1, 1, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2), /* 51-60 */ new PlanetaryNutModel(-1, 0, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 131, 0, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-2,-2, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel(-2, 2, 0, 2, 0, 0, -5, 9, 0, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 0,-1, 0, 0, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 2, 0, -17, -19, -10, 9), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, -9, -11, 6, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -6, 0, 0, 3), new PlanetaryNutModel(-1, 0, 1, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -16, 8, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0), /* 61-70 */ new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0, 0, 2, 0, 0, 0, 11, 24, 11, -5), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -9, 17, 0, 0, 0, 0, 0, -3, -4, -2, 1), new PlanetaryNutModel( 0, 0, 0, 2, 0, -3, 5, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-1, 2, 0, 0, 0, 0, -8, -4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 1,-2, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 17,-16, 0,-2, 0, 0, 0, 0, 0, 5, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 1,-3, 0, 0, 0, 0, 3, 2, 0), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 5, -6, 0, 0, 0, 0, 0, -6, 4, 2, 3), new PlanetaryNutModel( 0,-2, 2, 0, 0, 0, 9,-13, 0, 0, 0, 0, 0, -3, -5, 0, 0), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0, 0, 1, 0, 0, 0, -5, 0, 0, 2), /* 71-80 */ new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 24, 13, -2), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, -42, 20, 0, 0), new PlanetaryNutModel( 0,-2, 2, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, -10, 233, 0, 0), new PlanetaryNutModel( 0,-1, 1, 1, 0, 5, -7, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel(-2, 0, 2, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 78, -18, 0, 0), new PlanetaryNutModel( 2, 1,-3, 1, 0, -6, 7, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -3, -1, 0), new PlanetaryNutModel( 0,-1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, -4, -2, 1), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 0, 2, 0, 0, 0, -8, -4, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, -5, 3, 0), /* 81-90 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -7, 0, 0, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 2, -14, 8, 3, 6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 1, 0, 8, -4, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -9, 15, 0, 0, 0, 0, 0, 0, 19, 10, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, 45, -22, 0, 0), new PlanetaryNutModel( 1,-1,-1, 0, 0, 0, 8,-15, 0, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 2, 0,-2, 0, 0, 2, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-5, 5, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 2, 0,-2, 1, 0, 0, -6, 8, 0, 0, 0, 0, 0, 3, 5, 3, -2), new PlanetaryNutModel( 2, 0,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 89, -16, -9, -48), /* 91-100 */ new PlanetaryNutModel(-2, 1, 1, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel(-2, 1, 1, 1, 0, 0, 1, 0,-3, 0, 0, 0, 0, -3, 7, 4, 2), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -349, -62, 0, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, -15, 22, 0, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-1,-5, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel(-1, 0, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, -53, 0, 0, 0), new PlanetaryNutModel(-1, 1, 1, 1, 0,-20, 20, 0, 0, 0, 0, 0, 0, 5, 0, 0, -3), new PlanetaryNutModel( 1, 0,-2, 0, 0, 20,-21, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 8,-15, 0, 0, 0, 0, 0, 15, -7, -4, -8), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0,-10, 15, 0, 0, 0, 0, 0, -3, 0, 0, 1), /* 101-110 */ new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -21, -78, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 20, -70, -37, -11), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, 6, 3, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-2, 4, 0, 0, 0, 5, 3, 2, -2), new PlanetaryNutModel( 2, 0,-2, 1, 0, -6, 8, 0, 0, 0, 0, 0, 0, -17, -4, -2, 9), new PlanetaryNutModel( 0,-2, 2, 1, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 1, 32, 15, -8, 17), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0,-1, 0, 0, 0, 174, 84, 45, -93), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 11, 56, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 1, 0, 0, 0, -66, -12, -6, 35), /* 111-120 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 47, 8, 4, -25), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 8, 4, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -9, 13, 0, 0, 0, 0, 0, 10, -22, -12, -5), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 7,-13, 0, 0, 0, 0, 0, -3, 0, 0, 2), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, -24, 12, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 9,-17, 0, 0, 0, 0, 0, 5, -6, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -9, 17, 0, 0, 0, 0, 2, 3, 0, 0, -2), new PlanetaryNutModel( 1, 0,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 4, 3, 1, -2), new PlanetaryNutModel( 1, 0,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 29, 15, 0), new PlanetaryNutModel( 0, 0, 0, 2, 0, 0, -1, 2, 0, 0, 0, 0, 0, -5, -4, -2, 2), /* 121-130 */ new PlanetaryNutModel( 0,-1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8, -3, -1, -5), new PlanetaryNutModel( 0,-2, 2, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -5, 0, 2, 0, 0, 0, 0, 10, 0, 0, 0), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 2, 0,-3, 1, 0, 0, 0, 3, 0, 0, -2), new PlanetaryNutModel(-2, 0, 2, 1, 0, 3, -3, 0, 0, 0, 0, 0, 0, -5, 0, 0, 3), new PlanetaryNutModel( 0, 0, 0, 1, 0, 8,-13, 0, 0, 0, 0, 0, 0, 46, 66, 35, -25), new PlanetaryNutModel( 0,-1, 1, 0, 0, 8,-12, 0, 0, 0, 0, 0, 0, -14, 7, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, -8, 11, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0), new PlanetaryNutModel(-1, 0, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -5, 0, 0, 0), new PlanetaryNutModel(-1, 0, 0, 1, 0, 18,-16, 0, 0, 0, 0, 0, 0, -68, -34, -18, 36), /* 131-140 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-1, 1, 0, 0, 0, 0, 14, 7, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 3, -7, 4, 0, 0, 0, 0, 0, 10, -6, -3, -5), new PlanetaryNutModel(-2, 1, 1, 1, 0, 0, -3, 7, 0, 0, 0, 0, 0, -5, -4, -2, 3), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0,-2, 5, 0, 0, 0, -3, 5, 2, 1), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0,-2, 5, 0, 0, 0, 76, 17, 9, -41), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 84, 298, 159, -45), new PlanetaryNutModel( 1, 0, 0, 1, 0,-10, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 2), new PlanetaryNutModel(-1, 0, 0, 1, 0, 10, -3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, -82, 292, 156, 44), /* 141-150 */ new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0, 2,-5, 0, 0, 0, -73, 17, 9, 39), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -9, -16, 0, 0), new PlanetaryNutModel( 2,-1,-1, 1, 0, 0, 3, -7, 0, 0, 0, 0, 0, 3, 0, -1, -2), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0, 0,-5, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -3, 7, -4, 0, 0, 0, 0, 0, -9, -5, -3, 5), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -439, 0, 0, 0), new PlanetaryNutModel( 1, 0, 0, 1, 0,-18, 16, 0, 0, 0, 0, 0, 0, 57, -28, -15, -30), new PlanetaryNutModel(-2, 1, 1, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -6, -3, 0), new PlanetaryNutModel( 0, 1,-1, 2, 0, -8, 12, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 1, 0, -8, 13, 0, 0, 0, 0, 0, 0, -40, 57, 30, 21), /* 151-160 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 1, 23, 7, 3, -13), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 273, 80, 43,-146), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, -449, 430, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, -8, -47, -25, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 1, 6, 47, 25, -3), new PlanetaryNutModel(-1, 0, 1, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, 23, 13, 0), new PlanetaryNutModel(-1, 0, 1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, -3, 0, 0, 2), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0,-2, 0, 0, 0, 3, -4, -2, -2), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 2, 0, 0, 0, -48,-110, -59, 26), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 51, 114, 61, -27), /* 161-170 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, -133, 0, 0, 57), new PlanetaryNutModel( 0, 1,-1, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -3, 5, 0, 0, 0, 0, 0, 0, -21, -6, -3, 11), new PlanetaryNutModel( 0, 1,-1, 2, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, -3, -1, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -2, 4, 0, 0, 0, 0, 0, -11, -21, -11, 6), new PlanetaryNutModel( 0, 2,-2, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, -18,-436, -233, 9), new PlanetaryNutModel( 0,-1, 1, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 35, -7, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 5, -8, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0), new PlanetaryNutModel(-2, 0, 2, 1, 0, 6, -8, 0, 0, 0, 0, 0, 0, 11, -3, -1, -6), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -8, 15, 0, 0, 0, 0, 0, -5, -3, -1, 3), /* 171-180 */ new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 2, 0,-3, 0, 0, 0, 0, -53, -9, -5, 28), new PlanetaryNutModel(-2, 0, 2, 1, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, 3, 2, 1), new PlanetaryNutModel( 1, 0,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 4, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 3,-5, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0,-1, 0, 0, 0, 0, -50, 194, 103, 27), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0,-1, 0, 0, 0, 1, -13, 52, 28, 7), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -91, 248, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 6, 49, 26, -3), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, -6, -47, -25, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 5, 3, 0), /* 181-190 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 52, 23, 10, -23), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0, 0,-1, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0, 0,-1, 0, 0, 0, 0, 5, 3, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -4, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -7, 13, 0, 0, 0, 0, 2, -4, 8, 3, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7,-13, 0, 0, 0, 0, 0, 10, 0, 0, 0), new PlanetaryNutModel( 2, 0,-2, 1, 0, 0, -5, 6, 0, 0, 0, 0, 0, 3, 0, 0, -2), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -8, 11, 0, 0, 0, 0, 0, 0, 8, 4, 0), new PlanetaryNutModel( 0, 2,-2, 1,-1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 4, 1), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0), /* 191-200 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2,-2, 0, 0, 0, -4, 0, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 0, 3, 0, 0, 0, -8, 4, 2, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 8, -4, -2, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 15, 7, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -138, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, -7, -3, 0), new PlanetaryNutModel( 0, 0, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -7, -3, 0), new PlanetaryNutModel( 2, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 54, 0, 0, -29), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 10, 4, 0), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -7, 0, 0, 3), /* 201-210 */ new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, -37, 35, 19, 20), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -4, 9, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -2, 0, 0, 2, 0, 0, 0, 8, 0, 0, -4), new PlanetaryNutModel( 0, 1,-1, 1, 0, 3, -6, 0, 0, 0, 0, 0, 0, -9, -14, -8, 5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 1, -3, -9, -5, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, 0, -145, 47, 0, 0), new PlanetaryNutModel( 0, 1,-1, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, -10, 40, 21, 5), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 1, 11, -49, -26, -7), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2,-2150, 0, 0, 932), /* 211-220 */ new PlanetaryNutModel( 0, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -12, 0, 0, 5), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 0, 2, 85, 0, 0, -37), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 1, 4, 0, 0, -2), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, 1, -4, 0, 0, 0, 0, 0, 3, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, -86, 153, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -6, 9, 5, 3), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -3, 4, 0, 0, 0, 0, 0, 9, -13, -7, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 1, -8, 12, 6, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 2, -51, 0, 0, 22), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, -11,-268, -116, 5), /* 221-230 */ new PlanetaryNutModel( 0, 2,-2, 2, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 12, 5, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 2, 0, 7, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 31, 6, 3, -17), new PlanetaryNutModel( 0, 1,-1, 1, 0, -5, 7, 0, 0, 0, 0, 0, 0, 140, 27, 14, -75), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 0, 1, 57, 11, 6, -30), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, -14, -39, 0, 0), new PlanetaryNutModel( 0, 1,-1, 2, 0, 0, -1, 0,-1, 0, 0, 0, 0, 0, -6, -2, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 0, 0,-1, 0, 0, 0, 0, 4, 15, 8, -2), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 0, 4, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -2, 0, 1, 0, 0, 0, 0, -3, 0, 0, 1), /* 231-240 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 11, 0, 0, 0, 0, 2, 0, 11, 5, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6,-11, 0, 0, 0, 0, 0, 9, 6, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0,-1, 0, 4, 0, 0, 0, 0, 0, 2, -4, 10, 4, 2), new PlanetaryNutModel( 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0), new PlanetaryNutModel( 2, 0,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 16, 0, 0, -9), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -7, 9, 0, 0, 0, 0, 0, 0, 3, 2, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 4,-5, 0, 0, 2, 7, 0, 0, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -25, 22, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 42, 223, 119, -22), /* 241-250 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, -27,-143, -77, 14), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 9, 49, 26, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2,-1166, 0, 0, 505), new PlanetaryNutModel( 0, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -5, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 2, -6, 0, 0, 3), new PlanetaryNutModel( 0, 0, 0, 1, 0, 3, -5, 0, 0, 0, 0, 0, 0, -8, 0, 1, 4), new PlanetaryNutModel( 0,-1, 1, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, -3, 3, 0, 0, 0, 0, 0, 0, 117, 0, 0, -63), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 2, -4, 0, 0, 0, 0, 0, -4, 8, 4, 2), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -4, 4, 0, 0, 0, 0, 0, 3, 0, 0, -2), /* 251-260 */ new PlanetaryNutModel( 0, 1,-1, 2, 0, -5, 7, 0, 0, 0, 0, 0, 0, -5, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 31, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -5, 0, 1, 3), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -4, 6, 0, 0, 0, 0, 0, 4, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 1, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 2, -24, -13, -6, 10), new PlanetaryNutModel( 0,-1, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, -32, -17, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 2, 8, 12, 5, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 1, 3, 0, 0, -1), /* 261-270 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -9, 0, 0, 0, 0, 0, 7, 13, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -3, 16, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 50, 0, 0, -27), new PlanetaryNutModel(-2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -5, -3, 0), new PlanetaryNutModel( 0,-2, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 1, 0, 5, 3, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 2, 24, 5, 2, -11), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 2, 5, -11, -5, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 3, 0, 0, 0, 0, 0, 1, 30, -3, -2, -16), new PlanetaryNutModel( 0, 1,-1, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 18, 0, 0, -9), /* 271-280 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 0, 8, 614, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, 1, 3, -3, -1, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 6, 17, 9, -3), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, -1, 0, 3, 0, 0, 0, 0, -3, -9, -5, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 6, 3, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, -127, 21, 9, 55), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -8, 0, 0, 0, 0, 0, 3, 5, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 2, -6, -10, -4, 3), new PlanetaryNutModel( 0,-2, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 5, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 2, 16, 9, 4, -7), /* 281-290 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 1, 3, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -7, 0, 0, 0, 0, 0, 0, 22, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 19, 10, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 7, 0, 0, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 2, 0, -5, -2, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 2, -9, 3, 1, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 2, 17, 0, 0, -7), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 5, 0, 0, 0, 0, 1, 0, -3, -2, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -5, 0, 0, 0, 0, 0, -20, 34, 0, 0), /* 291-300 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 1, -10, 0, 1, 5), new PlanetaryNutModel( 0, 1,-1, 1, 0, 1, -3, 0, 0, 0, 0, 0, 0, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, -2, 0, 0, 0, 0, 0, 0, 22, -87, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 0, 0, 2, -3, -6, -2, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 2, -16, -3, -1, 7), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 11, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0), new PlanetaryNutModel( 0,-2, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, -3, 0, 0, 0, 0, 0, -68, 39, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, -4, 4, 0, 0, 0, 0, 0, 0, 27, 0, 0, -14), /* 301-310 */ new PlanetaryNutModel( 0,-1, 1, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, -25, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 1, -12, -3, -2, 6), new PlanetaryNutModel( 0, 1,-1, 1, 0, -4, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 7, 0, 0, 0, 0, 0, 2, 3, 66, 29, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 2, 490, 0, 0,-213), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -22, 93, 49, 12), new PlanetaryNutModel( 0, 1,-1, 1, 0, -4, 5, 0, 0, 0, 0, 0, 0, -7, 28, 15, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 0, 1, -3, 13, 7, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, 0, -46, 14, 0, 0), /* 311-320 */ new PlanetaryNutModel(-2, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0), new PlanetaryNutModel( 0,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, -28, 0, 0, 15), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 2, -11, 0, 0, 5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -7, 12, 0, 0, 0, 0, 2, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 1, 25, 106, 57, -13), /* 321-330 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 21, 11, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1485, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 1, -7, -32, -17, 4), new PlanetaryNutModel( 0, 1,-1, 1, 0, 1, -2, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 2, -6, -3, -2, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 4, 0, 0, 0, 2, 30, -6, -2, -13), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-4, 0, 0, 0, 0, -4, 4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 0, 0, 0, -19, 0, 0, 10), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 2, 0, 4, 2, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 10, 0, 0, 0, 0, 0, 0, 3, 0, 0), /* 331-340 */ new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -3, 0, 3, 0, 0, 0, 0, 4, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 2, 0, -3, -1, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 8, 0, 0, 0, 0, 2, 5, 3, 1, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -8, 0, 0, 0, 0, 0, 0, 11, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 2, 118, 0, 0, -52), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 3, 0, 0, 0, 1, 0, -5, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-3, 0, 0, 0, 0, -28, 36, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -4, 0, 0, 0, 0, 0, 0, 5, -5, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 1, 14, -59, -31, -8), /* 341-350 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 9, 5, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 4, 0, 0, 0, 0, 0, 2, -458, 0, 0, 198), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 2, 0, -45, -20, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 0, 1, 9, 0, 0, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 1, 0,-2, 0, 0, 0, 0, 0, -4, -2, -1), new PlanetaryNutModel( 0, 2,-2, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 11, 0, 0, -6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -4, 6, 0, 0, 0, 0, 2, 6, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -6, 0, 0, 0, 0, 0, -16, 23, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 3, -4, 0, 0, 0, 0, 0, 0, 0, -4, -2, 0), /* 351-360 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 2, -5, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-2, 0, 0, 0, 0, -166, 269, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, 15, 0, 0, -8), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 9, 0, 0, 0, 0, 0, 2, 10, 0, 0, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, -78, 45, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 2, 0, -5, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 4, 0, 0, 0, 0, 0, 1, 7, 0, 0, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 0, -5, 328, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -4, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 2, -2, 0, 0, 0, 0, 0, 5, 0, 0, -2), /* 361-370 */ new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0,-3, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 1,-5, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 1, 0, -4, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0,-1223, -26, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 1, 0, 7, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-3, 5, 0, 0, 0, 3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -3, 4, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0,-2, 0, 0, 0, -6, 20, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, -368, 0, 0, 0), /* 371-380 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0,-1, 0, 0, 0, -75, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 11, 0, 0, -6), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, -2, 2, 0, 0, 0, 0, 0, 3, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 14, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 2,-5, 0, 0, 0, -13, -30, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 0, 21, 3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -8, 3, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 8, -27, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -8, 3, 0, 0, 0, 0, -19, -11, 0, 0), /* 381-390 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 8,-3, 0, 0, 0, 2, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0,-2, 5, 0, 0, 2, 0, 5, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 2, -6, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 12, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 1,-2, 0, 0, 0, -1, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, -14, 0, 0, 6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, -74, 0, 0, 32), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, -3, -1, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, -5, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2), /* 391-400 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 8, 11, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, -262, 0, 0, 114), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 1, -7, 0, 0, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 6, 0, 0, 0, 0, 0, 2, 0, -27, -12, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 2, -19, -8, -4, 8), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 2, 202, 0, 0, -87), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 0, 1, -8, 35, 19, 5), new PlanetaryNutModel( 0, 1,-1, 1, 0, -5, 6, 0, 0, 0, 0, 0, 0, 0, 4, 2, 0), /* 401-410 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 0, 16, -5, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -1, 0, 1, 0, 0, 0, 0, 5, 0, 0, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0,-1, 0, 3, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, -35, -48, -21, 15), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 2, -3, -5, -2, 1), new PlanetaryNutModel( 0, 0, 0, 1, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 9, 0, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -9, 0, 0, 0, 0, 0, 0, -5, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 1, 12, 55, 29, -6), /* 411-420 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -598, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 1, -3, -13, -7, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 0, 3, 0, 0, 0, 2, -5, -7, -3, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 7, 0, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -7, 0, 0, 0, 0, 0, 5, -7, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, -2, 2, 0, 0, 0, 0, 0, 0, 4, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 16, -6, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, -3, 0, 0, 0, 0, 0, 0, 8, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 1, 8, -31, -16, -4), /* 421-430 */ new PlanetaryNutModel( 0, 1,-1, 1, 0, -1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 3, 0, 0, 0, 0, 0, 2, 113, 0, 0, -49), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 2, 0, -24, -10, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 10, 0, 0, 0, 0, 0, 1, 4, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 27, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 8, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 2, 0, -4, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 5, 0, 0, 0, 0, 0, 1, 5, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -5, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, -13, 0, 0, 6), /* 431-440 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 0, 5, 0, 0, 0, 2, 5, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, -18, -10, -4, 8), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, -28, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, -5, 6, 3, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 13, 0, 0, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 5, 0, 0, 0, 0, 2, -5, -9, -4, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 2, 17, 0, 0, -7), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-4, 0, 0, 0, 0, 11, 4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 7, 0, 0, 0, 0, 2, 0, -6, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 83, 15, 0, 0), /* 441-450 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 1, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 5, 0, 0, 0, 0, 0, 2, 0,-114, -49, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 2, 117, 0, 0, -51), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 8, 0, 0, 0, 0, 0, 1, -5, 19, 10, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -8, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 9, 0, 0, 0, 0, 2, 0, -3, -1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 2, 0, -6, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 393, 3, 0, 0), /* 451-460 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 1, -4, 21, 11, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 2, -6, 0, -1, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 10, 0, 0, 0, 0, 0, 2, -3, 8, 4, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 2, 18, -29, -13, -8), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 3, 0, 0, 0, 0, 0, 1, 8, 34, 18, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 89, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 1, 3, 12, 6, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 2, 54, -15, -7, -24), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0,-3, 0, 0, 0, 0, 3, 0, 0), /* 461-470 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 13, 0, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 0, 0, 35, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-1, 0, 0, 0, 2, -154, -30, -13, 67), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 0, 15, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0,-2, 0, 0, 1, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 9, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 2, 80, -71, -31, -35), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0,-1, 0, 0, 2, 0, -20, -9, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 15, 0, 0, 0, 0, 2, 11, 5, 2, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 15, 0, 0, 0, 0, 0, 2, 61, -96, -42, -27), /* 471-480 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 9, -4, 0, 0, 0, 0, 2, 14, 9, 4, -6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 2,-5, 0, 0, 2, -11, -6, -3, 5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 8,-1,-5, 0, 0, 2, 0, -3, -1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -8, 3, 0, 0, 0, 2, 123,-415, -180, -53), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 7, -32, -17, -4), new PlanetaryNutModel( 0, 1,-1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -9, -5, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, -4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, -89, 0, 0, 38), /* 481-490 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -6, 16,-4,-5, 0, 0, 2, 0, -86, -19, -6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, 0, 0, -19, 6), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -2, 8,-3, 0, 0, 0, 2, -123,-416, -180, 53), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -8, 1, 5, 0, 0, 2, 0, -3, -1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-2, 5, 0, 0, 2, 12, -6, -3, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -5, 4, 0, 0, 0, 0, 2, -13, 9, 4, 6), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, 0, -15, -7, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 11, 0, 0, 0, 0, 0, 2, -62, -97, -42, 27), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 2, -11, 5, 2, 5), /* 491-500 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, -19, -8, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -3, 0, 2, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 4, 2, 0), new PlanetaryNutModel( 0, 1,-1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, -85, -70, -31, 37), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 163, -12, -5, -72), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 7, 0, 0, 0, 0, 0, 2, -63, -16, -7, 28), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 2, -21, -32, -14, 9), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 2, 0, -3, -1, 0), /* 501-510 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 6, 0, 0, 0, 0, 0, 1, 3, 0, 0, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -6, 0, 0, 0, 0, 0, 2, 3, 10, 4, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 6, 0, 0, 0, 0, 2, 0, -7, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7, -9, 0, 0, 0, 0, 2, 0, -4, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 0, 6, 19, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 5,-173, -75, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 2, 0, -7, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 2, 7, -12, -5, -3), /* 511-520 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 1, -3, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 0, 2, 3, -4, -2, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 2, 74, 0, 0, -32), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 9, 0, 0, 0, 0, 0, 1, -3, 12, 6, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 2, 26, -14, -6, -11), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 2, 19, 0, 0, -8), new PlanetaryNutModel( 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 1, 6, 24, 13, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 83, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 1, 0, -10, -5, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 2, 11, -3, -1, -5), /* 521-530 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 3, 0, 1, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -3, 0, 5, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 5, -23, -12, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, -339, 0, 0, 147), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 12, 0, 0, 0, 0, 0, 2, 0, -10, -5, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-4, 0, 0, 0, 0, 5, 0, 0, 0), new PlanetaryNutModel( 0, 2,-2, 1, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 2, 0, -4, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 0, 18, -3, 0, 0), /* 531-540 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-3, 0, 0, 0, 2, 9, -11, -5, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, -2, 6, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 7, 0, 0, 0, 0, 0, 1, 3, 0, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -7, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 2, 6, -9, -4, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 0, -4, -12, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-2, 0, 0, 0, 2, 67, -91, -39, -29), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 2, 30, -18, -8, -13), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -2, 0, 0, 0, 0, 0, 2, 0,-114, -50, 0), /* 541-550 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 0, 0, 0, 23), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0,-1, 0, 0, 0, 2, 517, 16, 7,-224), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0, 0,-2, 0, 0, 2, 0, -7, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 2, 143, -3, -1, -62), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0, 0,-1, 0, 0, 2, 29, 0, 0, -13), new PlanetaryNutModel( 0, 2,-2, 1, 0, 0, 1, 0,-1, 0, 0, 0, 0, -4, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 16, 0, 0, 0, 0, 0, 2, -6, 0, 0, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0, 2,-5, 0, 0, 2, 5, 12, 5, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7, -8, 3, 0, 0, 0, 2, -25, 0, 0, 11), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -5, 16,-4,-5, 0, 0, 2, -3, 0, 0, 1), /* 551-560 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, -1, 8,-3, 0, 0, 0, 2, -22, 12, 5, 10), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 50, 0, 0, -22), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 10, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, -4, 4, 2, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, 2, -5, -11, -5, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -3, 8, 0, 0, 0, 0, 0, 2, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -5, 5, 0, 0, 0, 0, 0, 1, 4, 17, 9, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0), /* 561-570 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 1, 0, -4, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -5, 0, 0, 0, 0, 0, 2, -8, 0, 0, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 4, -15, -8, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 370, -8, 0,-160), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 0, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 2, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -5, 0, 0, 0, 0, 2, -6, 3, 1, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 7, -8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 2, -10, 0, 0, 4), /* 571-580 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -3, 0, 0, 0, 0, 0, 2, 0, 9, 4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 4, 17, 7, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 2, 34, 0, 0, -15), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 11, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0,-4, 0, 0, 0, 2, -5, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0,-3, 0, 0, 0, 2, -37, -7, -3, 16), new PlanetaryNutModel( 0, 0, 0, 0, 0, -6, 6, 0, 0, 0, 0, 0, 1, 3, 13, 7, -2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0,-2, 0, 0, 0, 2, -184, -3, -1, 80), /* 581-590 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 2, -3, 0, 0, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 1, 0, -10, -6, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, -1, 0, 0, 0, 0, 0, 2, 31, -6, 0, -13), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0,-1, 0, 0, 0, 2, -3, -32, -14, 1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0, 0,-2, 0, 0, 2, -7, 0, 0, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, -2, 0, 0, 0, 0, 2, 0, -8, -4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 3, -4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 8, -9, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -4, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0), /* 591-600 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 19, -23, -10, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -10), new PlanetaryNutModel( 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 3, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -7, 7, 0, 0, 0, 0, 0, 1, 0, 9, 5, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 7, -7, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 1, 0, -7, -4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 2, 8, -4, 0, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, 0,-4, 0, 0, 0, 2, -3, 0, 0, 1), /* 601-610 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, 0,-3, 0, 0, 0, 2, -9, 0, 1, 4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 5, 0,-2, 0, 0, 0, 2, 3, 12, 5, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 17, -3, -1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -8, 8, 0, 0, 0, 0, 0, 1, 0, 7, 4, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, 0, 0, 0, 19, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 1, 0, -5, -3, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 5, -3, 0, 0, 0, 0, 0, 2, 14, -3, 0, -1), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 0, 0, -5), new PlanetaryNutModel( 0, 0, 0, 0, 0, -9, 9, 0, 0, 0, 0, 0, 1, 0, 5, 3, 0), /* 611-620 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 9, -9, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, 0, 1, 0, -3, -2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 2, 9, 4, 3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 4, 2, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 6, 0, 0, -3), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 1, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 5, 0, 0, -2), /* 621-630 */ new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, -1), new PlanetaryNutModel( 1, 0,-2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 7, 0, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0), new PlanetaryNutModel(-1, 0, 0, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel(-1, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 6, 0, 0, 0), new PlanetaryNutModel(-1, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel( 1, 0,-2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel(-2, 0, 2, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 5, 0, 0, 0), /* 631-640 */ new PlanetaryNutModel(-1, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel(-1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel(-1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0), new PlanetaryNutModel(-1, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel( 1,-1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0), new PlanetaryNutModel(-1, 0, 2, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 13, 0, 0, 0), new PlanetaryNutModel(-2, 0, 0, 0, 0, 0, 2, 0,-3, 0, 0, 0, 0, 21, 11, 0, 0), new PlanetaryNutModel( 1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0), new PlanetaryNutModel(-1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, -5, -2, 0), new PlanetaryNutModel( 1, 1,-1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0), /* 641-650 */ new PlanetaryNutModel(-1, 0, 0, 0, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, -5, 0, 0), new PlanetaryNutModel(-1, 0, 2, 1, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 2), new PlanetaryNutModel( 0, 0, 0, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, 20, 10, 0, 0), new PlanetaryNutModel(-1, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -34, 0, 0, 0), new PlanetaryNutModel(-1, 0, 2, 0, 0, 3, -3, 0, 0, 0, 0, 0, 0, -19, 0, 0, 0), new PlanetaryNutModel( 1, 0,-2, 1, 0, 0, -2, 0, 2, 0, 0, 0, 0, 3, 0, 0, -2), new PlanetaryNutModel( 1, 2,-2, 2, 0, -3, 3, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel( 1, 2,-2, 2, 0, 0, -2, 0, 2, 0, 0, 0, 0, -6, 0, 0, 3), new PlanetaryNutModel( 1, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0), new PlanetaryNutModel( 1, 0, 0, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 3, 0, 0, 0), /* 651-660 */ new PlanetaryNutModel( 0, 0,-2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0), new PlanetaryNutModel( 0, 0,-2, 0, 0, 0, 1, 0,-1, 0, 0, 0, 0, 4, 0, 0, 0), new PlanetaryNutModel( 0, 2, 0, 2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 2, 0, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 6, 0, 0, -3), new PlanetaryNutModel( 0, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -8, 0, 0, 3), new PlanetaryNutModel( 0, 2, 0, 2, 0, -2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 0, 2, 0, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 0), new PlanetaryNutModel( 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -3, -2, 0), new PlanetaryNutModel( 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 126, -63, -27, -55), new PlanetaryNutModel(-1, 2, 0, 2, 0, 10, -3, 0, 0, 0, 0, 0, 0, -5, 0, 1, 2), /* 661-670 */ new PlanetaryNutModel( 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -3, 28, 15, 2), new PlanetaryNutModel( 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 5, 0, 1, -2), new PlanetaryNutModel( 0, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 9, 4, 1), new PlanetaryNutModel( 0, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 9, 4, -1), new PlanetaryNutModel(-1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, -126, -63, -27, 55), new PlanetaryNutModel( 2, 2,-2, 2, 0, 0, -2, 0, 3, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 1, 2, 0, 1, 0, 0, -2, 0, 3, 0, 0, 0, 0, 21, -11, -6, -11), new PlanetaryNutModel( 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0), new PlanetaryNutModel(-1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, -21, -11, -6, 11), new PlanetaryNutModel(-2, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, -3, 0, 0, 1), /* 671-680 */ new PlanetaryNutModel( 0, 2, 0, 2, 0, 2, -3, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 0, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4), new PlanetaryNutModel( 0, 2, 0, 2, 0, 0, 1, 0,-1, 0, 0, 0, 0, -6, 0, 0, 3), new PlanetaryNutModel( 0, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel(-1, 2, 2, 2, 0, 0, -1, 0, 1, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 1, 2, 0, 2, 0, -1, 1, 0, 0, 0, 0, 0, 0, -3, 0, 0, 1), new PlanetaryNutModel(-1, 2, 2, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, -5, 0, 0, 2), new PlanetaryNutModel( 2, 2, 0, 2, 0, 0, 2, 0,-3, 0, 0, 0, 0, 24, -12, -5, -11), new PlanetaryNutModel( 1, 2, 0, 2, 0, 0, -4, 8,-3, 0, 0, 0, 0, 0, 3, 1, 0), new PlanetaryNutModel( 1, 2, 0, 2, 0, 0, 4, -8, 3, 0, 0, 0, 0, 0, 3, 1, 0), /* 681-687 */ new PlanetaryNutModel( 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0), new PlanetaryNutModel( 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, -24, -12, -5, 10), new PlanetaryNutModel( 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 4, 0, -1, -2), new PlanetaryNutModel(-1, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 13, 0, 0, -6), new PlanetaryNutModel(-1, 2, 2, 2, 0, 3, -3, 0, 0, 0, 0, 0, 0, 7, 0, 0, -3), new PlanetaryNutModel( 1, 2, 0, 2, 0, 1, -1, 0, 0, 0, 0, 0, 0, 3, 0, 0, -1), new PlanetaryNutModel( 0, 2, 2, 2, 0, 0, 2, 0,-2, 0, 0, 0, 0, 3, 0, 0, -1) }; /* Number of terms in the planetary nutation model */ final int NPL = xpl.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental date J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* ------------------- */ /* LUNI-SOLAR NUTATION */ /* ------------------- */ /* Fundamental (Delaunay) arguments */ /* Mean anomaly of the Moon (IERS 2003). */ el = jauFal03(t); /* Mean anomaly of the Sun (MHB2000). */ elp = fmod(1287104.79305 + t * (129596581.0481 + t * (-0.5532 + t * (0.000136 + t * (-0.00001149)))), TURNAS) * DAS2R; /* Mean longitude of the Moon minus that of the ascending node */ /* (IERS 2003. */ f = jauFaf03(t); /* Mean elongation of the Moon from the Sun (MHB2000). */ d = fmod(1072260.70369 + t * (1602961601.2090 + t * (-6.3706 + t * (0.006593 + t * (-0.00003169)))), TURNAS) * DAS2R; /* Mean longitude of the ascending node of the Moon (IERS 2003). */ om = jauFaom03(t); /* Initialize the nutation values. */ dp = 0.0; de = 0.0; /* Summation of luni-solar nutation series (in reverse order). */ for (i = NLS-1; i >= 0; i--) { /* Argument and functions. */ arg = fmod((double)xls[i].nl * el + (double)xls[i].nlp * elp + (double)xls[i].nf * f + (double)xls[i].nd * d + (double)xls[i].nom * om, D2PI); sarg = sin(arg); carg = cos(arg); /* Term. */ dp += (xls[i].sp + xls[i].spt * t) * sarg + xls[i].cp * carg; de += (xls[i].ce + xls[i].cet * t) * carg + xls[i].se * sarg; } /* Convert from 0.1 microarcsec units to radians. */ dpsils = dp * U2R; depsls = de * U2R; /* ------------------ */ /* PLANETARY NUTATION */ /* ------------------ */ /* n.b. The MHB2000 code computes the luni-solar and planetary nutation */ /* in different functions, using slightly different Delaunay */ /* arguments in the two cases. This behaviour is faithfully */ /* reproduced here. Use of the IERS 2003 expressions for both */ /* cases leads to negligible changes, well below */ /* 0.1 microarcsecond. */ /* Mean anomaly of the Moon (MHB2000). */ al = fmod(2.35555598 + 8328.6914269554 * t, D2PI); /* Mean longitude of the Moon minus that of the ascending node */ /*(MHB2000). */ af = fmod(1.627905234 + 8433.466158131 * t, D2PI); /* Mean elongation of the Moon from the Sun (MHB2000). */ ad = fmod(5.198466741 + 7771.3771468121 * t, D2PI); /* Mean longitude of the ascending node of the Moon (MHB2000). */ aom = fmod(2.18243920 - 33.757045 * t, D2PI); /* General accumulated precession in longitude (IERS 2003). */ apa = jauFapa03(t); /* Planetary longitudes, Mercury through Uranus (IERS 2003). */ alme = jauFame03(t); alve = jauFave03(t); alea = jauFae03(t); alma = jauFama03(t); alju = jauFaju03(t); alsa = jauFasa03(t); alur = jauFaur03(t); /* Neptune longitude (MHB2000). */ alne = fmod(5.321159000 + 3.8127774000 * t, D2PI); /* Initialize the nutation values. */ dp = 0.0; de = 0.0; /* Summation of planetary nutation series (in reverse order). */ for (i = NPL-1; i >= 0; i--) { /* Argument and functions. */ arg = fmod((double)xpl[i].nl * al + (double)xpl[i].nf * af + (double)xpl[i].nd * ad + (double)xpl[i].nom * aom + (double)xpl[i].nme * alme + (double)xpl[i].nve * alve + (double)xpl[i].nea * alea + (double)xpl[i].nma * alma + (double)xpl[i].nju * alju + (double)xpl[i].nsa * alsa + (double)xpl[i].nur * alur + (double)xpl[i].nne * alne + (double)xpl[i].npa * apa, D2PI); sarg = sin(arg); carg = cos(arg); /* Term. */ dp += (double)xpl[i].sp * sarg + (double)xpl[i].cp * carg; de += (double)xpl[i].se * sarg + (double)xpl[i].ce * carg; } /* Convert from 0.1 microarcsec units to radians. */ dpsipl = dp * U2R; depspl = de * U2R; /* ------- */ /* RESULTS */ /* ------- */ /* Add luni-solar and planetary components. */ return new NutationTerms( dpsils + dpsipl, depsls + depspl); } private final static class LSNutationModel { final int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ final double ps,pst,pc; /* longitude sin, t*sin, cos coefficients */ final double ec,ect,es; /* obliquity cos, t*cos, sin coefficients */ public LSNutationModel( int nl,int nlp,int nf,int nd,int nom, double ps, double pst, double pc, double ec, double ect, double es ) { this.nl = nl;this.nlp = nlp;this.nf = nf;this.nd = nd;this.nom = nom; this.ps = ps;this.pst = pst;this.pc = pc; this.ec = ec;this.ect = ect; this.es= es; } } /** * Nutation, IAU 2000B model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return nutation, luni-solar + planetary (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* References: * *
Lieske, J.H., Lederle, T., Fricke, W., Morando, B., "Expressions * for the precession quantities based upon the IAU /1976/ system of * astronomical constants", Astron.Astrophys. 58, 1-2, 1-16. (1977) * *
Luzum, B., private communication, 2001 (Fortran code * MHB_2000_SHORT) * *
McCarthy, D.D. & Luzum, B.J., "An abridged model of the * precession-nutation of the celestial pole", Cel.Mech.Dyn.Astron. * 85, 37-49 (2003) * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J., Astron.Astrophys. 282, 663-683 (1994) * *@version 2009 December 17 * * @since Release 20101201 * * */ public static NutationTerms jauNut00b(double date1, double date2) { double t, el, elp, f, d, om, arg, dp, de, sarg, carg, dpsils, depsls, dpsipl, depspl; int i; /* Units of 0.1 microarcsecond to radians */ final double U2R = DAS2R / 1e7; /* ---------------------------------------- */ /* Fixed offsets in lieu of planetary terms */ /* ---------------------------------------- */ final double DPPLAN = -0.135 * DMAS2R; final double DEPLAN = 0.388 * DMAS2R; /* --------------------------------------------------- */ /* Luni-solar nutation: argument and term coefficients */ /* --------------------------------------------------- */ /* The units for the sine and cosine coefficients are */ /* 0.1 microarcsec and the same per Julian century */ LSNutationModel x[] = { /* 1-10 */ new LSNutationModel( 0, 0, 0, 0,1, -172064161.0, -174666.0, 33386.0, 92052331.0, 9086.0, 15377.0), new LSNutationModel( 0, 0, 2,-2,2, -13170906.0, -1675.0, -13696.0, 5730336.0, -3015.0, -4587.0), new LSNutationModel( 0, 0, 2, 0,2,-2276413.0,-234.0, 2796.0, 978459.0,-485.0,1374.0), new LSNutationModel( 0, 0, 0, 0,2,2074554.0, 207.0, -698.0,-897492.0, 470.0,-291.0), new LSNutationModel( 0, 1, 0, 0,0,1475877.0,-3633.0,11817.0, 73871.0,-184.0,-1924.0), new LSNutationModel( 0, 1, 2,-2,2,-516821.0, 1226.0, -524.0, 224386.0,-677.0,-174.0), new LSNutationModel( 1, 0, 0, 0,0, 711159.0, 73.0, -872.0, -6750.0, 0.0, 358.0), new LSNutationModel( 0, 0, 2, 0,1,-387298.0, -367.0, 380.0, 200728.0, 18.0, 318.0), new LSNutationModel( 1, 0, 2, 0,2,-301461.0, -36.0, 816.0, 129025.0, -63.0, 367.0), new LSNutationModel( 0,-1, 2,-2,2, 215829.0, -494.0, 111.0, -95929.0, 299.0, 132.0), /* 11-20 */ new LSNutationModel( 0, 0, 2,-2,1, 128227.0, 137.0, 181.0, -68982.0, -9.0, 39.0), new LSNutationModel(-1, 0, 2, 0,2, 123457.0, 11.0, 19.0, -53311.0, 32.0, -4.0), new LSNutationModel(-1, 0, 0, 2,0, 156994.0, 10.0, -168.0, -1235.0, 0.0, 82.0), new LSNutationModel( 1, 0, 0, 0,1, 63110.0, 63.0, 27.0, -33228.0, 0.0, -9.0), new LSNutationModel(-1, 0, 0, 0,1, -57976.0, -63.0, -189.0, 31429.0, 0.0, -75.0), new LSNutationModel(-1, 0, 2, 2,2, -59641.0, -11.0, 149.0, 25543.0, -11.0, 66.0), new LSNutationModel( 1, 0, 2, 0,1, -51613.0, -42.0, 129.0, 26366.0, 0.0, 78.0), new LSNutationModel(-2, 0, 2, 0,1, 45893.0, 50.0, 31.0, -24236.0, -10.0, 20.0), new LSNutationModel( 0, 0, 0, 2,0, 63384.0, 11.0, -150.0, -1220.0, 0.0, 29.0), new LSNutationModel( 0, 0, 2, 2,2, -38571.0, -1.0, 158.0, 16452.0, -11.0, 68.0), /* 21-30 */ new LSNutationModel( 0,-2, 2,-2,2, 32481.0, 0.0, 0.0, -13870.0, 0.0, 0.0), new LSNutationModel(-2, 0, 0, 2,0, -47722.0, 0.0, -18.0, 477.0, 0.0, -25.0), new LSNutationModel( 2, 0, 2, 0,2, -31046.0, -1.0, 131.0, 13238.0, -11.0, 59.0), new LSNutationModel( 1, 0, 2,-2,2, 28593.0, 0.0, -1.0, -12338.0, 10.0, -3.0), new LSNutationModel(-1, 0, 2, 0,1, 20441.0, 21.0, 10.0, -10758.0, 0.0, -3.0), new LSNutationModel( 2, 0, 0, 0,0, 29243.0, 0.0, -74.0, -609.0, 0.0, 13.0), new LSNutationModel( 0, 0, 2, 0,0, 25887.0, 0.0, -66.0, -550.0, 0.0, 11.0), new LSNutationModel( 0, 1, 0, 0,1, -14053.0, -25.0, 79.0, 8551.0, -2.0, -45.0), new LSNutationModel(-1, 0, 0, 2,1, 15164.0, 10.0, 11.0, -8001.0, 0.0, -1.0), new LSNutationModel( 0, 2, 2,-2,2, -15794.0, 72.0, -16.0, 6850.0, -42.0, -5.0), /* 31-40 */ new LSNutationModel( 0, 0,-2, 2,0, 21783.0, 0.0, 13.0, -167.0, 0.0, 13.0), new LSNutationModel( 1, 0, 0,-2,1, -12873.0, -10.0, -37.0, 6953.0, 0.0, -14.0), new LSNutationModel( 0,-1, 0, 0,1, -12654.0, 11.0, 63.0, 6415.0, 0.0, 26.0), new LSNutationModel(-1, 0, 2, 2,1, -10204.0, 0.0, 25.0, 5222.0, 0.0, 15.0), new LSNutationModel( 0, 2, 0, 0,0, 16707.0, -85.0, -10.0, 168.0, -1.0, 10.0), new LSNutationModel( 1, 0, 2, 2,2, -7691.0, 0.0, 44.0, 3268.0, 0.0, 19.0), new LSNutationModel(-2, 0, 2, 0,0, -11024.0, 0.0, -14.0, 104.0, 0.0, 2.0), new LSNutationModel( 0, 1, 2, 0,2, 7566.0, -21.0, -11.0, -3250.0, 0.0, -5.0), new LSNutationModel( 0, 0, 2, 2,1, -6637.0, -11.0, 25.0, 3353.0, 0.0, 14.0), new LSNutationModel( 0,-1, 2, 0,2, -7141.0, 21.0, 8.0, 3070.0, 0.0, 4.0), /* 41-50 */ new LSNutationModel( 0, 0, 0, 2,1, -6302.0, -11.0, 2.0, 3272.0, 0.0, 4.0), new LSNutationModel( 1, 0, 2,-2,1, 5800.0, 10.0, 2.0, -3045.0, 0.0, -1.0), new LSNutationModel( 2, 0, 2,-2,2, 6443.0, 0.0, -7.0, -2768.0, 0.0, -4.0), new LSNutationModel(-2, 0, 0, 2,1, -5774.0, -11.0, -15.0, 3041.0, 0.0, -5.0), new LSNutationModel( 2, 0, 2, 0,1, -5350.0, 0.0, 21.0, 2695.0, 0.0, 12.0), new LSNutationModel( 0,-1, 2,-2,1, -4752.0, -11.0, -3.0, 2719.0, 0.0, -3.0), new LSNutationModel( 0, 0, 0,-2,1, -4940.0, -11.0, -21.0, 2720.0, 0.0, -9.0), new LSNutationModel(-1,-1, 0, 2,0, 7350.0, 0.0, -8.0, -51.0, 0.0, 4.0), new LSNutationModel( 2, 0, 0,-2,1, 4065.0, 0.0, 6.0, -2206.0, 0.0, 1.0), new LSNutationModel( 1, 0, 0, 2,0, 6579.0, 0.0, -24.0, -199.0, 0.0, 2.0), /* 51-60 */ new LSNutationModel( 0, 1, 2,-2,1, 3579.0, 0.0, 5.0, -1900.0, 0.0, 1.0), new LSNutationModel( 1,-1, 0, 0,0, 4725.0, 0.0, -6.0, -41.0, 0.0, 3.0), new LSNutationModel(-2, 0, 2, 0,2, -3075.0, 0.0, -2.0, 1313.0, 0.0, -1.0), new LSNutationModel( 3, 0, 2, 0,2, -2904.0, 0.0, 15.0, 1233.0, 0.0, 7.0), new LSNutationModel( 0,-1, 0, 2,0, 4348.0, 0.0, -10.0, -81.0, 0.0, 2.0), new LSNutationModel( 1,-1, 2, 0,2, -2878.0, 0.0, 8.0, 1232.0, 0.0, 4.0), new LSNutationModel( 0, 0, 0, 1,0, -4230.0, 0.0, 5.0, -20.0, 0.0, -2.0), new LSNutationModel(-1,-1, 2, 2,2, -2819.0, 0.0, 7.0, 1207.0, 0.0, 3.0), new LSNutationModel(-1, 0, 2, 0,0, -4056.0, 0.0, 5.0, 40.0, 0.0, -2.0), new LSNutationModel( 0,-1, 2, 2,2, -2647.0, 0.0, 11.0, 1129.0, 0.0, 5.0), /* 61-70 */ new LSNutationModel(-2, 0, 0, 0,1, -2294.0, 0.0, -10.0, 1266.0, 0.0, -4.0), new LSNutationModel( 1, 1, 2, 0,2, 2481.0, 0.0, -7.0, -1062.0, 0.0, -3.0), new LSNutationModel( 2, 0, 0, 0,1, 2179.0, 0.0, -2.0, -1129.0, 0.0, -2.0), new LSNutationModel(-1, 1, 0, 1,0, 3276.0, 0.0, 1.0, -9.0, 0.0, 0.0), new LSNutationModel( 1, 1, 0, 0,0, -3389.0, 0.0, 5.0, 35.0, 0.0, -2.0), new LSNutationModel( 1, 0, 2, 0,0, 3339.0, 0.0, -13.0, -107.0, 0.0, 1.0), new LSNutationModel(-1, 0, 2,-2,1, -1987.0, 0.0, -6.0, 1073.0, 0.0, -2.0), new LSNutationModel( 1, 0, 0, 0,2, -1981.0, 0.0, 0.0, 854.0, 0.0, 0.0), new LSNutationModel(-1, 0, 0, 1,0, 4026.0, 0.0, -353.0, -553.0, 0.0,-139.0), new LSNutationModel( 0, 0, 2, 1,2, 1660.0, 0.0, -5.0, -710.0, 0.0, -2.0), /* 71-77 */ new LSNutationModel(-1, 0, 2, 4,2, -1521.0, 0.0, 9.0, 647.0, 0.0, 4.0), new LSNutationModel(-1, 1, 0, 1,1, 1314.0, 0.0, 0.0, -700.0, 0.0, 0.0), new LSNutationModel( 0,-2, 2,-2,1, -1283.0, 0.0, 0.0, 672.0, 0.0, 0.0), new LSNutationModel( 1, 0, 2, 2,1, -1331.0, 0.0, 8.0, 663.0, 0.0, 4.0), new LSNutationModel(-2, 0, 2, 2,2, 1383.0, 0.0, -2.0, -594.0, 0.0, -2.0), new LSNutationModel(-1, 0, 0, 0,2, 1405.0, 0.0, 4.0, -610.0, 0.0, 2.0), new LSNutationModel( 1, 1, 2,-2,2, 1290.0, 0.0, 0.0, -556.0, 0.0, 0.0) }; /* Number of terms in the series */ final int NLS = x.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* --------------------*/ /* LUNI-SOLAR NUTATION */ /* --------------------*/ /* Fundamental (Delaunay) arguments from Simon et al. (1994) */ /* Mean anomaly of the Moon. */ el = fmod(485868.249036 + (1717915923.2178) * t, TURNAS) * DAS2R; /* Mean anomaly of the Sun. */ elp = fmod(1287104.79305 + (129596581.0481) * t, TURNAS) * DAS2R; /* Mean argument of the latitude of the Moon. */ f = fmod(335779.526232 + (1739527262.8478) * t, TURNAS) * DAS2R; /* Mean elongation of the Moon from the Sun. */ d = fmod(1072260.70369 + (1602961601.2090) * t, TURNAS) * DAS2R; /* Mean longitude of the ascending node of the Moon. */ om = fmod(450160.398036 + (-6962890.5431) * t, TURNAS) * DAS2R; /* Initialize the nutation values. */ dp = 0.0; de = 0.0; /* Summation of luni-solar nutation series (smallest terms first). */ for (i = NLS-1; i >= 0; i--) { /* Argument and functions. */ arg = fmod( (double)x[i].nl * el + (double)x[i].nlp * elp + (double)x[i].nf * f + (double)x[i].nd * d + (double)x[i].nom * om, D2PI ); sarg = sin(arg); carg = cos(arg); /* Term. */ dp += (x[i].ps + x[i].pst * t) * sarg + x[i].pc * carg; de += (x[i].ec + x[i].ect * t) * carg + x[i].es * sarg; } /* Convert from 0.1 microarcsec units to radians. */ dpsils = dp * U2R; depsls = de * U2R; /* ------------------------------*/ /* IN LIEU OF PLANETARY NUTATION */ /* ------------------------------*/ /* Fixed offset to correct for missing terms in truncated series. */ dpsipl = DPPLAN; depspl = DEPLAN; /* --------*/ /* RESULTS */ /* --------*/ /* Add luni-solar and planetary components. */ return new NutationTerms( dpsils + dpsipl, depsls + depspl); } /** * IAU 2000A nutation with adjustments to match the IAU 2006 * precession. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return nutation, luni-solar + planetary (Note 2) * *
Status: canonical model. * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Chapront, J., Chapront-Touze, M. & Francou, G. 2002, * Astron.Astrophys. 387, 700 * *
Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977, * Astron.Astrophys. 58, 1-16 * *
Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res. * 107, B4. The MHB_2000 code itself was obtained on 9th September * 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A. * *
Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683 * *
Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *
Wallace, P.T., "Software for Implementing the IAU 2000 * Resolutions", in IERS Workshop 5.1 (2002) * *@version 2008 May 24 * * @since Release 20101201 * * */ public static NutationTerms jauNut06a(double date1, double date2) { double t, fj2; /* Interval between fundamental date J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Factor correcting for secular variation of J2. */ fj2 = -2.7774e-6 * t; /* Obtain IAU 2000A nutation. */ NutationTerms nt = jauNut00a(date1, date2); /* Apply P03 adjustments (Wallace & Capitaine, 2006, Eqs.5). */ return new NutationTerms( nt.dpsi + nt.dpsi * (0.4697e-6 + fj2), nt.deps + nt.deps * fj2); } private final static class NutationModel2 { final int nl,nlp,nf,nd,nom; /* coefficients of l,l',F,D,Om */ final double sp,spt; /* longitude sine, 1 and t coefficients */ final double ce,cet; /* obliquity cosine, 1 and t coefficients */ public NutationModel2(int nl,int nlp,int nf,int nd,int nom, double sp,double spt, double ce,double cet ) { this.nl = nl;this.nlp = nlp;this.nf = nf;this.nd = nd;this.nom = nom; this.sp = sp;this.spt = spt; this.ce = ce;this.cet = cet; } } /** * Nutation, IAU 1980 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return dpsi double returned nutation in longitude (radians) * deps double returned nutation in obliquity (radians) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.222 (p111). * *@version 2008 September 30 * * @since Release 20101201 * * */ public static NutationTerms jauNut80(double date1, double date2) { double t, el, elp, f, d, om, dp, de, arg, s, c; int j; /* Units of 0.1 milliarcsecond to radians */ final double U2R = DAS2R / 1e4; /* ------------------------------------------------ */ /* Table of multiples of arguments and coefficients */ /* ------------------------------------------------ */ /* The units for the sine and cosine coefficients are 0.1 mas and */ /* the same per Julian century */ NutationModel2 x[] = { /* 1-10 */ new NutationModel2( 0, 0, 0, 0, 1, -171996.0, -174.2, 92025.0, 8.9 ), new NutationModel2( 0, 0, 0, 0, 2, 2062.0, 0.2, -895.0, 0.5 ), new NutationModel2( -2, 0, 2, 0, 1, 46.0, 0.0, -24.0, 0.0 ), new NutationModel2( 2, 0, -2, 0, 0, 11.0, 0.0, 0.0, 0.0 ), new NutationModel2( -2, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 ), new NutationModel2( 1, -1, 0, -1, 0, -3.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, -2, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 ), new NutationModel2( 2, 0, -2, 0, 1, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 2, -2, 2, -13187.0, -1.6, 5736.0, -3.1 ), new NutationModel2( 0, 1, 0, 0, 0, 1426.0, -3.4, 54.0, -0.1 ), /* 11-20 */ new NutationModel2( 0, 1, 2, -2, 2, -517.0, 1.2, 224.0, -0.6 ), new NutationModel2( 0, -1, 2, -2, 2, 217.0, -0.5, -95.0, 0.3 ), new NutationModel2( 0, 0, 2, -2, 1, 129.0, 0.1, -70.0, 0.0 ), new NutationModel2( 2, 0, 0, -2, 0, 48.0, 0.0, 1.0, 0.0 ), new NutationModel2( 0, 0, 2, -2, 0, -22.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 2, 0, 0, 0, 17.0, -0.1, 0.0, 0.0 ), new NutationModel2( 0, 1, 0, 0, 1, -15.0, 0.0, 9.0, 0.0 ), new NutationModel2( 0, 2, 2, -2, 2, -16.0, 0.1, 7.0, 0.0 ), new NutationModel2( 0, -1, 0, 0, 1, -12.0, 0.0, 6.0, 0.0 ), new NutationModel2( -2, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 ), /* 21-30 */ new NutationModel2( 0, -1, 2, -2, 1, -5.0, 0.0, 3.0, 0.0 ), new NutationModel2( 2, 0, 0, -2, 1, 4.0, 0.0, -2.0, 0.0 ), new NutationModel2( 0, 1, 2, -2, 1, 4.0, 0.0, -2.0, 0.0 ), new NutationModel2( 1, 0, 0, -1, 0, -4.0, 0.0, 0.0, 0.0 ), new NutationModel2( 2, 1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, -2, 2, 1, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 0, 0, 2, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( -1, 0, 0, 1, 1, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 ), /* 31-40 */ new NutationModel2( 0, 0, 2, 0, 2, -2274.0, -0.2, 977.0, -0.5 ), new NutationModel2( 1, 0, 0, 0, 0, 712.0, 0.1, -7.0, 0.0 ), new NutationModel2( 0, 0, 2, 0, 1, -386.0, -0.4, 200.0, 0.0 ), new NutationModel2( 1, 0, 2, 0, 2, -301.0, 0.0, 129.0, -0.1 ), new NutationModel2( 1, 0, 0, -2, 0, -158.0, 0.0, -1.0, 0.0 ), new NutationModel2( -1, 0, 2, 0, 2, 123.0, 0.0, -53.0, 0.0 ), new NutationModel2( 0, 0, 0, 2, 0, 63.0, 0.0, -2.0, 0.0 ), new NutationModel2( 1, 0, 0, 0, 1, 63.0, 0.1, -33.0, 0.0 ), new NutationModel2( -1, 0, 0, 0, 1, -58.0, -0.1, 32.0, 0.0 ), new NutationModel2( -1, 0, 2, 2, 2, -59.0, 0.0, 26.0, 0.0 ), /* 41-50 */ new NutationModel2( 1, 0, 2, 0, 1, -51.0, 0.0, 27.0, 0.0 ), new NutationModel2( 0, 0, 2, 2, 2, -38.0, 0.0, 16.0, 0.0 ), new NutationModel2( 2, 0, 0, 0, 0, 29.0, 0.0, -1.0, 0.0 ), new NutationModel2( 1, 0, 2, -2, 2, 29.0, 0.0, -12.0, 0.0 ), new NutationModel2( 2, 0, 2, 0, 2, -31.0, 0.0, 13.0, 0.0 ), new NutationModel2( 0, 0, 2, 0, 0, 26.0, 0.0, -1.0, 0.0 ), new NutationModel2( -1, 0, 2, 0, 1, 21.0, 0.0, -10.0, 0.0 ), new NutationModel2( -1, 0, 0, 2, 1, 16.0, 0.0, -8.0, 0.0 ), new NutationModel2( 1, 0, 0, -2, 1, -13.0, 0.0, 7.0, 0.0 ), new NutationModel2( -1, 0, 2, 2, 1, -10.0, 0.0, 5.0, 0.0 ), /* 51-60 */ new NutationModel2( 1, 1, 0, -2, 0, -7.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 2, 0, 2, 7.0, 0.0, -3.0, 0.0 ), new NutationModel2( 0, -1, 2, 0, 2, -7.0, 0.0, 3.0, 0.0 ), new NutationModel2( 1, 0, 2, 2, 2, -8.0, 0.0, 3.0, 0.0 ), new NutationModel2( 1, 0, 0, 2, 0, 6.0, 0.0, 0.0, 0.0 ), new NutationModel2( 2, 0, 2, -2, 2, 6.0, 0.0, -3.0, 0.0 ), new NutationModel2( 0, 0, 0, 2, 1, -6.0, 0.0, 3.0, 0.0 ), new NutationModel2( 0, 0, 2, 2, 1, -7.0, 0.0, 3.0, 0.0 ), new NutationModel2( 1, 0, 2, -2, 1, 6.0, 0.0, -3.0, 0.0 ), new NutationModel2( 0, 0, 0, -2, 1, -5.0, 0.0, 3.0, 0.0 ), /* 61-70 */ new NutationModel2( 1, -1, 0, 0, 0, 5.0, 0.0, 0.0, 0.0 ), new NutationModel2( 2, 0, 2, 0, 1, -5.0, 0.0, 3.0, 0.0 ), new NutationModel2( 0, 1, 0, -2, 0, -4.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 0, -2, 0, 0, 4.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 0, 1, 0, -4.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 1, 0, 0, 0, -3.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 0, 2, 0, 0, 3.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, -1, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 ), new NutationModel2( -1, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 ), new NutationModel2( -2, 0, 0, 0, 1, -2.0, 0.0, 1.0, 0.0 ), /* 71-80 */ new NutationModel2( 3, 0, 2, 0, 2, -3.0, 0.0, 1.0, 0.0 ), new NutationModel2( 0, -1, 2, 2, 2, -3.0, 0.0, 1.0, 0.0 ), new NutationModel2( 1, 1, 2, 0, 2, 2.0, 0.0, -1.0, 0.0 ), new NutationModel2( -1, 0, 2, -2, 1, -2.0, 0.0, 1.0, 0.0 ), new NutationModel2( 2, 0, 0, 0, 1, 2.0, 0.0, -1.0, 0.0 ), new NutationModel2( 1, 0, 0, 0, 2, -2.0, 0.0, 1.0, 0.0 ), new NutationModel2( 3, 0, 0, 0, 0, 2.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 2, 1, 2, 2.0, 0.0, -1.0, 0.0 ), new NutationModel2( -1, 0, 0, 0, 2, 1.0, 0.0, -1.0, 0.0 ), new NutationModel2( 1, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 ), /* 81-90 */ new NutationModel2( -2, 0, 2, 2, 2, 1.0, 0.0, -1.0, 0.0 ), new NutationModel2( -1, 0, 2, 4, 2, -2.0, 0.0, 1.0, 0.0 ), new NutationModel2( 2, 0, 0, -4, 0, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 1, 2, -2, 2, 1.0, 0.0, -1.0, 0.0 ), new NutationModel2( 1, 0, 2, 2, 1, -1.0, 0.0, 1.0, 0.0 ), new NutationModel2( -2, 0, 2, 4, 2, -1.0, 0.0, 1.0, 0.0 ), new NutationModel2( -1, 0, 4, 0, 2, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, -1, 0, -2, 0, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 2, 0, 2, -2, 1, 1.0, 0.0, -1.0, 0.0 ), new NutationModel2( 2, 0, 2, 2, 2, -1.0, 0.0, 0.0, 0.0 ), /* 91-100 */ new NutationModel2( 1, 0, 0, 2, 1, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 4, -2, 2, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 3, 0, 2, -2, 2, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 0, 2, -2, 0, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 2, 0, 1, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( -1, -1, 0, 2, 1, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, -2, 0, 1, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 2, -1, 2, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 0, 2, 0, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 0, -2, -2, 0, -1.0, 0.0, 0.0, 0.0 ), /* 101-106 */ new NutationModel2( 0, -1, 2, 0, 1, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 1, 0, -2, 1, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 1, 0, -2, 2, 0, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 2, 0, 0, 2, 0, 1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 0, 2, 4, 2, -1.0, 0.0, 0.0, 0.0 ), new NutationModel2( 0, 1, 0, 1, 0, 1.0, 0.0, 0.0, 0.0 ) }; /* Number of terms in the series */ final int NT = x.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* --------------------- */ /* Fundamental arguments */ /* --------------------- */ /* Mean longitude of Moon minus mean longitude of Moon's perigee. */ el = jauAnpm( (485866.733 + (715922.633 + (31.310 + 0.064 * t) * t) * t) * DAS2R + fmod(1325.0 * t, 1.0) * D2PI); /* Mean longitude of Sun minus mean longitude of Sun's perigee. */ elp = jauAnpm( (1287099.804 + (1292581.224 + (-0.577 - 0.012 * t) * t) * t) * DAS2R + fmod(99.0 * t, 1.0) * D2PI); /* Mean longitude of Moon minus mean longitude of Moon's node. */ f = jauAnpm( (335778.877 + (295263.137 + (-13.257 + 0.011 * t) * t) * t) * DAS2R + fmod(1342.0 * t, 1.0) * D2PI); /* Mean elongation of Moon from Sun. */ d = jauAnpm( (1072261.307 + (1105601.328 + (-6.891 + 0.019 * t) * t) * t) * DAS2R + fmod(1236.0 * t, 1.0) * D2PI); /* Longitude of the mean ascending node of the lunar orbit on the */ /* ecliptic, measured from the mean equinox of date. */ om = jauAnpm( (450160.280 + (-482890.539 + (7.455 + 0.008 * t) * t) * t) * DAS2R + fmod(-5.0 * t, 1.0) * D2PI); /* --------------- */ /* Nutation series */ /* --------------- */ /* Initialize nutation components. */ dp = 0.0; de = 0.0; /* Sum the nutation terms, ending with the biggest. */ for (j = NT-1; j >= 0; j--) { /* Form argument for current term. */ arg = (double)x[j].nl * el + (double)x[j].nlp * elp + (double)x[j].nf * f + (double)x[j].nd * d + (double)x[j].nom * om; /* Accumulate current nutation term. */ s = x[j].sp + x[j].spt * t; c = x[j].ce + x[j].cet * t; if (s != 0.0) dp += s * sin(arg); if (c != 0.0) de += c * cos(arg); } /* Convert results from 0.1 mas units to radians. */ return new NutationTerms( dp * U2R, de * U2R); } /** * Form the matrix of nutation for a given date, IAU 1980 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB date (Note 1) * @param date2 double TDB date (Note 1) * * * @return double[3][3] nutation matrix * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double obliquity of the ecliptic (radians, Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Reference: * * Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 * *@version 2009 March 16 * * @since Release 20101201 * * */ public static double jauObl06(double date1, double date2) { double t, eps0; /* Interval between fundamental date J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Mean obliquity. */ eps0 = (84381.406 + (-46.836769 + ( -0.0001831 + ( 0.00200340 + ( -0.000000576 + ( -0.0000000434) * t) * t) * t) * t) * t) * DAS2R; return eps0; } /** * Mean obliquity of the ecliptic, IAU 1980 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double obliquity of the ecliptic (radians, Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Expression 3.222-1 (p114). * *@version 2009 March 16 * * @since Release 20101201 * * */ public static double jauObl80(double date1, double date2) { double t, eps0; /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Mean obliquity of date. */ eps0 = DAS2R * (84381.448 + (-46.8150 + (-0.00059 + ( 0.001813) * t) * t) * t); return eps0; } /** * equinox based precession angles. * . * @author Paul Harrison (paul.harrison@manchester.ac.uk) 21 Nov 2011 * @version $Revision$ $date$ */ public static class PrecessionAngles { /** epsilon_0 obliquity at J2000.0. */ public double eps0; /** psi_A luni-solar precession. */ public double psia; /** omega_A inclination of equator wrt J2000.0 ecliptic. */ public double oma; /** P_A ecliptic pole x, J2000.0 ecliptic triad. */ public double bpa; /** Q_A ecliptic pole -y, J2000.0 ecliptic triad. */ public double bqa; /** pi_A angle between moving and J2000.0 ecliptics. */ public double pia; /** Pi_A longitude of ascending node of the ecliptic. */ public double bpia; /** epsilon_A obliquity of the ecliptic. */ public double epsa; /** chi_A planetary precession. */ public double chia; /** z_A equatorial precession: -3rd 323 Euler angle. */ public double za; /** zeta_A equatorial precession: -1st 323 Euler angle. */ public double zetaa; /** theta_A equatorial precession: 2nd 323 Euler angle. */ public double thetaa; /** p_A general precession. */ public double pa; /** gamma_J2000 J2000.0 RA difference of ecliptic poles. */ public double gam; /** phi_J2000 J2000.0 codeclination of ecliptic pole. */ public double phi; /** psi_J2000 longitude difference of equator poles, J2000.0. */ public double psi; public PrecessionAngles ( double eps0, double psia, double oma, double bpa, double bqa, double pia, double bpia, double epsa, double chia, double za, double zetaa, double thetaa, double pa, double gam, double phi, double psi){ this.eps0 = eps0; this.psia = psia; this.oma = oma; this.bpa = bpa; this.bqa = bqa; this.pia = pia; this.bpia = bpia; this.epsa = epsa; this.chia = chia; this.za = za; this.zetaa = zetaa; this.thetaa = thetaa; this.pa = pa; this.gam = gam; this.phi = phi; this.psi = psi; } } /** * Precession angles, IAU 2006, equinox based. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical models. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * @return (see Note 2): * eps0 double epsilon_0 * psia double psi_A * oma double omega_A * bpa double P_A * bqa double Q_A * pia double pi_A * bpia double Pi_A * epsa double obliquity epsilon_A * chia double chi_A * za double z_A * zetaa double zeta_A * thetaa double theta_A * pa double p_A * gam double F-W angle gamma_J2000 * phi double F-W angle phi_J2000 * psi double F-W angle psi_J2000 * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* References:
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector * * * @return pv double[2][3] returned pv-vector * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector * * * @return theta double returned longitude angle (radians) * phi double returned latitude angle (radians) * r double returned radial distance * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] direction of reference point * @param b double[3] direction of point whose PA is required * * * @return double position angle of b with respect to a (radians) * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param al double longitude of point A (e.g. RA) in radians * @param ap double latitude of point A (e.g. Dec) in radians * @param bl double longitude of point B * @param bp double latitude of point B * * * @return double position angle of B with respect to A * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return bzeta 1st rotation: radians cw around z, * 3rd rotation: radians cw around z, * 2nd rotation: radians ccw around y. * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector * @param b double[3] second p-vector * * * @return double a . b * *@version 2008 May 22 * * @since Release 20101201 * * */ public static double jauPdp(double a[] , double b[] ) { double w; w = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]; return w; } /** * Precession angles, IAU 2006 (Fukushima-Williams 4-angle formulation). * * @author Paul Harrison (paul.harrison@manchester.ac.uk) 1 Feb 2010 * * @since AIDA Stage 1 */ public static class FWPrecessionAngles{ /** F-W angle gamma_bar (radians) */ public double gamb; /** F-W angle phi_bar (radians) */ public double phib; /** F-W angle psi_bar (radians) */ public double psib; /** F-W angle epsilon_A (radians) */ public double epsa; public FWPrecessionAngles(double gamb, double phib, double psib, double epsa) { this.gamb = gamb; this.phib = phib; this.psib = psib; this.epsa = epsa; } } /** * Precession angles, IAU 2006 (Fukushima-Williams 4-angle formulation). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return gamb double returned F-W angle gamma_bar (radians) * phib double returned F-W angle phi_bar (radians) * psib double returned F-W angle psi_bar (radians) * epsa double returned F-W angle epsilon_A (radians) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Reference: * * Hilton, J. et al., 2006, Celest.Mech.Dyn.Astron. 94, 351 * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB date part A (Note 1) * @param date2 double TDB date part B (Note 1) * @param np int planet (1=Mercury, 2=Venus, 3=EMB, 4=Mars, * 5=Jupiter, 6=Saturn, 7=Uranus, 8=Neptune) * * Returned (argument): * @return pv double[2][3] (returned) planet p,v (heliocentric, J2000.0, au,au/d) * * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases
* where the loss of several decimal digits of resolution is
* acceptable. The J2000 method is best matched to the way the
* argument is handled internally and will deliver the optimum
* resolution. The MJD method and the date & time methods are both
* good compromises between resolution and convenience. The limited
* accuracy of the present algorithm is such that any of the methods
* is satisfactory.
*
*
* pv[0][0] x }
* pv[0][1] y } heliocentric position, au
* pv[0][2] z }
*
* pv[1][0] xdot }
* pv[1][1] ydot } heliocentric velocity, au/d
* pv[1][2] zdot }
*
* The reference frame is equatorial and is with respect to the
* mean equator and equinox of epoch J2000.0.
*
*
* L (arcsec) B (arcsec) R (km)
*
* Mercury 4 1 300
* Venus 5 1 800
* EMB 6 1 1000
* Mars 17 1 7700
* Jupiter 71 5 76000
* Saturn 81 13 267000
* Uranus 86 7 712000
* Neptune 11 1 253000
*
* Over the interval 1000-3000, they report that the accuracy is no
* worse than 1.5 times that over 1800-2050. Outside 1000-3000 the
* accuracy declines.
*
* Comparisons of the present function with the JPL DE200 ephemeris
* give the following RMS errors over the interval 1960-2025:
*
* position (km) velocity (m/s)
*
* Mercury 334 0.437
* Venus 1060 0.855
* EMB 2010 0.815
* Mars 7690 1.98
* Jupiter 71700 7.70
* Saturn 199000 19.4
* Uranus 564000 16.4
* Neptune 158000 14.4
*
* Comparisons against DE200 over the interval 1800-2100 gave the
* following maximum absolute differences. (The results using
* DE406 were essentially the same.)
*
* L (arcsec) B (arcsec) R (km) Rdot (m/s)
*
* Mercury 7 1 500 0.7
* Venus 7 1 1100 0.9
* EMB 9 1 1300 1.0
* Mars 26 1 9000 2.5
* Jupiter 78 6 82000 8.2
* Saturn 87 14 263000 24.6
* Uranus 86 7 661000 27.4
* Neptune 11 2 248000 21.4
*
* Called:
Reference: Simon, J.L, Bretagnon, P., Chapront, J., * Chapront-Touze, M., Francou, G., and Laskar, J., * Astron. Astrophys. 282, 663 (1994). * *@version 2009 December 17 * @throws JSOFAIllegalParameter for a bad np (planet number) * * @since Release 20101201 * * */ public static double[][] jauPlan94(double date1, double date2, int np) throws JSOFAIllegalParameter { double pv[][] = new double[2][3]; /* Gaussian constant */ final double GK = 0.017202098950; /* Sin and cos of J2000.0 mean obliquity (IAU 1976) */ final double SINEPS = 0.3977771559319137; final double COSEPS = 0.9174820620691818; /* Maximum number of iterations allowed to solve Kepler's equation */ final int KMAX = 10; int jstat, i, k; double t, da, dl, de, dp, di, dom, dmu, arga, argl, am, ae, dae, ae2, at, r, v, si2, xq, xp, tl, xsw, xcw, xm2, xf, ci2, xms, xmc, xpxq2, x, y, z; /* Planetary inverse masses */ final double amas[] = { 6023600.0, /* Mercury */ 408523.5, /* Venus */ 328900.5, /* EMB */ 3098710.0, /* Mars */ 1047.355, /* Jupiter */ 3498.5, /* Saturn */ 22869.0, /* Uranus */ 19314.0 }; /* Neptune */ /* * Tables giving the mean Keplerian elements, limited to t^2 terms: * * a semi-major axis (au) * dlm mean longitude (degree and arcsecond) * e eccentricity * pi longitude of the perihelion (degree and arcsecond) * dinc inclination (degree and arcsecond) * omega longitude of the ascending node (degree and arcsecond) */ final double a[][] = { { 0.3870983098, 0.0, 0.0 }, /* Mercury */ { 0.7233298200, 0.0, 0.0 }, /* Venus */ { 1.0000010178, 0.0, 0.0 }, /* EMB */ { 1.5236793419, 3e-10, 0.0 }, /* Mars */ { 5.2026032092, 19132e-10, -39e-10 }, /* Jupiter */ { 9.5549091915, -0.0000213896, 444e-10 }, /* Saturn */ { 19.2184460618, -3716e-10, 979e-10 }, /* Uranus */ { 30.1103868694, -16635e-10, 686e-10 } /* Neptune */ }; final double dlm[][] = { { 252.25090552, 5381016286.88982, -1.92789 }, { 181.97980085, 2106641364.33548, 0.59381 }, { 100.46645683, 1295977422.83429, -2.04411 }, { 355.43299958, 689050774.93988, 0.94264 }, { 34.35151874, 109256603.77991, -30.60378 }, { 50.07744430, 43996098.55732, 75.61614 }, { 314.05500511, 15424811.93933, -1.75083 }, { 304.34866548, 7865503.20744, 0.21103 } }; final double e[][] = { { 0.2056317526, 0.0002040653, -28349e-10 }, { 0.0067719164, -0.0004776521, 98127e-10 }, { 0.0167086342, -0.0004203654, -0.0000126734 }, { 0.0934006477, 0.0009048438, -80641e-10 }, { 0.0484979255, 0.0016322542, -0.0000471366 }, { 0.0555481426, -0.0034664062, -0.0000643639 }, { 0.0463812221, -0.0002729293, 0.0000078913 }, { 0.0094557470, 0.0000603263, 0.0 } }; final double pi[][] = { { 77.45611904, 5719.11590, -4.83016 }, { 131.56370300, 175.48640, -498.48184 }, { 102.93734808, 11612.35290, 53.27577 }, { 336.06023395, 15980.45908, -62.32800 }, { 14.33120687, 7758.75163, 259.95938 }, { 93.05723748, 20395.49439, 190.25952 }, { 173.00529106, 3215.56238, -34.09288 }, { 48.12027554, 1050.71912, 27.39717 } }; final double dinc[][] = { { 7.00498625, -214.25629, 0.28977 }, { 3.39466189, -30.84437, -11.67836 }, { 0.0, 469.97289, -3.35053 }, { 1.84972648, -293.31722, -8.11830 }, { 1.30326698, -71.55890, 11.95297 }, { 2.48887878, 91.85195, -17.66225 }, { 0.77319689, -60.72723, 1.25759 }, { 1.76995259, 8.12333, 0.08135 } }; final double omega[][] = { { 48.33089304, -4515.21727, -31.79892 }, { 76.67992019, -10008.48154, -51.32614 }, { 174.87317577, -8679.27034, 15.34191 }, { 49.55809321, -10620.90088, -230.57416 }, { 100.46440702, 6362.03561, 326.52178 }, { 113.66550252, -9240.19942, -66.23743 }, { 74.00595701, 2669.15033, 145.93964 }, { 131.78405702, -221.94322, -0.78728 } }; /* Tables for trigonometric terms to be added to the mean elements of */ /* the semi-major axes */ final double kp[][] = { { 69613, 75645, 88306, 59899, 15746, 71087, 142173, 3086, 0 }, { 21863, 32794, 26934, 10931, 26250, 43725, 53867, 28939, 0 }, { 16002, 21863, 32004, 10931, 14529, 16368, 15318, 32794, 0 }, { 6345, 7818, 15636, 7077, 8184, 14163, 1107, 4872, 0 }, { 1760, 1454, 1167, 880, 287, 2640, 19, 2047, 1454 }, { 574, 0, 880, 287, 19, 1760, 1167, 306, 574 }, { 204, 0, 177, 1265, 4, 385, 200, 208, 204 }, { 0, 102, 106, 4, 98, 1367, 487, 204, 0 } }; final double ca[][] = { { 4, -13, 11, -9, -9, -3, -1, 4, 0 }, { -156, 59, -42, 6, 19, -20, -10, -12, 0 }, { 64, -152, 62, -8, 32, -41, 19, -11, 0 }, { 124, 621, -145, 208, 54, -57, 30, 15, 0 }, { -23437, -2634, 6601, 6259, -1507,-1821, 2620, -2115, -1489 }, { 62911,-119919, 79336,17814,-24241,12068, 8306, -4893, 8902 }, { 389061,-262125,-44088, 8387,-22976,-2093, -615, -9720, 6633 }, { -412235,-157046,-31430,37817, -9740, -13, -7449, 9644, 0 } }; final double sa[][] = { { -29, -1, 9, 6, -6, 5, 4, 0, 0 }, { -48, -125, -26, -37, 18, -13, -20, -2, 0 }, { -150, -46, 68, 54, 14, 24, -28, 22, 0 }, { -621, 532, -694, -20, 192, -94, 71, -73, 0 }, { -14614,-19828, -5869, 1881, -4372, -2255, 782, 930, 913 }, { 139737, 0, 24667, 51123, -5102, 7429, -4095, -1976, -9566 }, { -138081, 0, 37205,-49039,-41901,-33872,-27037,-12474, 18797 }, { 0, 28492,133236, 69654, 52322,-49577,-26430, -3593, 0 } }; /* Tables giving the trigonometric terms to be added to the mean */ /* elements of the mean longitudes */ final double kq[][] = { { 3086,15746,69613,59899,75645,88306, 12661, 2658, 0, 0 }, { 21863,32794,10931, 73, 4387,26934, 1473, 2157, 0, 0 }, { 10,16002,21863,10931, 1473,32004, 4387, 73, 0, 0 }, { 10, 6345, 7818, 1107,15636, 7077, 8184, 532, 10, 0 }, { 19, 1760, 1454, 287, 1167, 880, 574, 2640, 19, 1454 }, { 19, 574, 287, 306, 1760, 12, 31, 38, 19, 574 }, { 4, 204, 177, 8, 31, 200, 1265, 102, 4, 204 }, { 4, 102, 106, 8, 98, 1367, 487, 204, 4, 102 } }; final double cl[][] = { { 21, -95, -157, 41, -5, 42, 23, 30, 0, 0 }, { -160, -313, -235, 60, -74, -76, -27, 34, 0, 0 }, { -325, -322, -79, 232, -52, 97, 55, -41, 0, 0 }, { 2268, -979, 802, 602, -668, -33, 345, 201, -55, 0 }, { 7610, -4997,-7689,-5841,-2617, 1115,-748,-607, 6074, 354 }, { -18549, 30125,20012, -730, 824, 23,1289,-352, -14767, -2062 }, { -135245,-14594, 4197,-4030,-5630,-2898,2540,-306, 2939, 1986 }, { 89948, 2103, 8963, 2695, 3682, 1648, 866,-154, -1963, -283 } }; final double sl[][] = { { -342, 136, -23, 62, 66, -52, -33, 17, 0, 0 }, { 524, -149, -35, 117, 151, 122, -71, -62, 0, 0 }, { -105, -137, 258, 35, -116, -88,-112, -80, 0, 0 }, { 854, -205, -936, -240, 140, -341, -97, -232, 536, 0 }, { -56980, 8016, 1012, 1448,-3024,-3710, 318, 503, 3767, 577 }, { 138606,-13478,-4964, 1441,-1319,-1482, 427, 1236, -9167, -1918 }, { 71234,-41116, 5334,-4935,-1848, 66, 434, -1748, 3780, -701 }, { -47645, 11647, 2166, 3194, 679, 0,-244, -419, -2531, 48 } }; /*--------------------------------------------------------------------*/ /* Validate the planet number. */ if ((np < 1) || (np > 8)) { throw new JSOFAIllegalParameter("planet number out of range", -1); } else { /* Decrement the planet number to start at zero. */ np--; /* Time: Julian millennia since J2000.0. */ t = ((date1 - DJ00) + date2) / DJM; /* OK status unless remote date. */ jstat = abs(t) <= 1.0 ? 0 : 1; // do not signal as error.. if(jstat != 0) throw new JSOFAIllegalParameter("Date too remote", jstat); /* Compute the mean elements. */ da = a[np][0] + (a[np][1] + a[np][2] * t) * t; dl = (3600.0 * dlm[np][0] + (dlm[np][1] + dlm[np][2] * t) * t) * DAS2R; de = e[np][0] + ( e[np][1] + e[np][2] * t) * t; dp = jauAnpm((3600.0 * pi[np][0] + (pi[np][1] + pi[np][2] * t) * t) * DAS2R); di = (3600.0 * dinc[np][0] + (dinc[np][1] + dinc[np][2] * t) * t) * DAS2R; dom = jauAnpm((3600.0 * omega[np][0] + (omega[np][1] + omega[np][2] * t) * t) * DAS2R); /* Apply the trigonometric terms. */ dmu = 0.35953620 * t; for (k = 0; k < 8; k++) { arga = kp[np][k] * dmu; argl = kq[np][k] * dmu; da += (ca[np][k] * cos(arga) + sa[np][k] * sin(arga)) * 1e-7; dl += (cl[np][k] * cos(argl) + sl[np][k] * sin(argl)) * 1e-7; } arga = kp[np][8] * dmu; da += t * (ca[np][8] * cos(arga) + sa[np][8] * sin(arga)) * 1e-7; for (k = 8; k < 10; k++) { argl = kq[np][k] * dmu; dl += t * (cl[np][k] * cos(argl) + sl[np][k] * sin(argl)) * 1e-7; } dl = fmod(dl, D2PI); /* Iterative soln. of Kepler's equation to get eccentric anomaly. */ am = dl - dp; ae = am + de * sin(am); k = 0; dae = 1.0; while (k < KMAX && abs(dae) > 1e-12) { dae = (am - ae + de * sin(ae)) / (1.0 - de * cos(ae)); ae += dae; k++; if (k == KMAX-1) jstat = 2; } /* True anomaly. */ ae2 = ae / 2.0; at = 2.0 * atan2(sqrt((1.0 + de) / (1.0 - de)) * sin(ae2), cos(ae2)); /* Distance (au) and speed (radians per day). */ r = da * (1.0 - de * cos(ae)); v = GK * sqrt((1.0 + 1.0 / amas[np]) / (da * da * da)); si2 = sin(di / 2.0); xq = si2 * cos(dom); xp = si2 * sin(dom); tl = at + dp; xsw = sin(tl); xcw = cos(tl); xm2 = 2.0 * (xp * xcw - xq * xsw); xf = da / sqrt(1 - de * de); ci2 = cos(di / 2.0); xms = (de * sin(dp) + xsw) * xf; xmc = (de * cos(dp) + xcw) * xf; xpxq2 = 2 * xp * xq; /* Position (J2000.0 ecliptic x,y,z in au). */ x = r * (xcw - xm2 * xp); y = r * (xsw + xm2 * xq); z = r * (-xm2 * ci2); /* Rotate to equatorial. */ pv[0][0] = x; pv[0][1] = y * COSEPS - z * SINEPS; pv[0][2] = y * SINEPS + z * COSEPS; /* Velocity (J2000.0 ecliptic xdot,ydot,zdot in au/d). */ x = v * (( -1.0 + 2.0 * xp * xp) * xms + xpxq2 * xmc); y = v * (( 1.0 - 2.0 * xq * xq) * xmc - xpxq2 * xms); z = v * (2.0 * ci2 * (xp * xms + xq * xmc)); /* Rotate to equatorial. */ pv[1][0] = x; pv[1][1] = y * COSEPS - z * SINEPS; pv[1][2] = y * SINEPS + z * COSEPS; } /* Return the value. */ return pv; } /** * Modulus of p-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector * * * @return double modulus * *@version 2008 May 22 * * @since Release 20101201 * * */ public static double jauPm(double p[] ) { double w; w = sqrt( p[0] * p[0] + p[1] * p[1] + p[2] * p[2] ); return w; } /** * Precession matrix (including frame bias) from GCRS to a specified * date, IAU 2000 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rbp double[3][3] returned bias-precession matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * * IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. * 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. * (2000) * *@version 2009 December 21 * * @since Release 20101201 * * */ public static double[][] jauPmat00(double date1, double date2) { double rb[][] = new double[3][3], rp[][] = new double[3][3], rbp[][] = new double[3][3]; /* Obtain the required matrix (discarding others). */ jauBp00(date1, date2, rb, rp, rbp); return rbp; } /** * Precession matrix (including frame bias) from GCRS to a specified * date, IAU 2006 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rbp double[3][3] returned bias-precession matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *
IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6.(2000) * *@version 2009 December 21 * * @since Release 20101201 * * */ public static double[][] jauPmat06(double date1, double date2) { /* Bias-precession Fukushima-Williams angles. */ FWPrecessionAngles fw = jauPfw06(date1, date2); /* Form the matrix. */ double[][] rbp = jauFw2m(fw.gamb, fw.phib, fw.psib, fw.epsa ); return rbp; } /** * Precession matrix from J2000.0 to a specified date, IAU 1976 model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double ending date, TT (Note 1) * @param date2 double ending date, TT (Note 1) * * * @return rmatp double[3][3] returned precession matrix, J2000.0 -> date1+date2 * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Lieske, J.H., 1979, Astron.Astrophys. 73, 282. * equations (6) & (7), p283. * * Kaplan,G.H., 1981. USNO circular no. 163, pA2. * *@version 2009 December 18 * * @since Release 20101201 * * */ public static double[][] jauPmat76(double date1, double date2) { double wmat[][] = new double[3][3]; double rmatp[][] = new double[3][3]; /* Precession Euler angles, J2000.0 to specified date. */ EulerAngles euler = jauPrec76(DJ00, 0.0, date1, date2); /* Form the rotation matrix. */ jauIr( wmat); jauRz( -euler.zeta, wmat); jauRy( euler.theta, wmat); jauRz( -euler.z, wmat); jauCr(wmat, rmatp); return rmatp; } /** * P-vector subtraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector * @param b double[3] second p-vector * * * @return amb double[3] returned a - b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *@version 2008 November 18 * * @since Release 20101201 * * */ public static double[] jauPmp(double a[] , double b[] ) { double amb[] = new double[3]; amb[0] = a[0] - b[0]; amb[1] = a[1] - b[1]; amb[2] = a[2] - b[2]; return amb; } /** * A normalized vector with r being the modulus and u[3] being the unit vector. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 1 Feb 2010 * * @since AIDA Stage 1 */ public static class NormalizedVector { public double r; public double u[]; public NormalizedVector(double r, double u[] ) { this.r = r; this.u = u; } } /** * Convert a p-vector into modulus and unit vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] p-vector * * * @return r double returned modulus * u double[3] returned unit vector * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param dpsi double nutation (Note 2) * @param deps double nutation (Note 2) * * * @return epsa double returned mean obliquity (Note 3), * rb double[3][3] returned frame bias matrix (Note 4), * rp double[3][3] returned precession matrix (Note 5), * rbp double[3][3] returned bias-precession matrix (Note 6), * rn double[3][3] returned nutation matrix (Note 7), * rbpn double[3][3] returned GCRS-to-true matrix (Note 8) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static PrecessionNutation jauPn00(double date1, double date2, double dpsi, double deps) { double rbpw[][] = new double[3][3], rnw[][] = new double[3][3]; double[][] rb = new double[3][3]; double[][] rp = new double[3][3]; double[][] rbp = new double[3][3]; double[][] rn = new double[3][3]; double[][] rbpn = new double[3][3]; /* IAU 2000 precession-rate adjustments. */ PrecessionDeltaTerms nut = jauPr00(date1, date2); /* Mean obliquity, consistent with IAU 2000 precession-nutation. */ double epsa = jauObl80(date1, date2) + nut.depspr; /* Frame bias and precession matrices and their product. */ jauBp00(date1, date2, rb, rp, rbpw); jauCr(rbpw, rbp); /* Nutation matrix. */ rnw = jauNumat(epsa, dpsi, deps); jauCr(rnw, rn); /* Bias-precession-nutation matrix (classical). */ rbpn = jauRxr(rnw, rbpw); return new PrecessionNutation(dpsi, deps, epsa, rb, rp, rbp, rn, rbpn); } /** * Precession-nutation model. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 4 Feb 2010 * * @since AIDA Stage 1 */ public static class PrecessionNutation { public NutationTerms nut; /** mean obliquity */ public double epsa; /** frame bias matrix */ public double rb[][]; /** precession matrix */ public double rp[][]; /** bias-precession matrix */ public double rbp[][]; /** nutation matrix */ public double rn[][]; /** GCRS-to-true matrix */ public double rbpn[][]; public PrecessionNutation(double dpsi, double deps, double epsa, double rb[][], double rp[][], double rbp[][], double rn[][], double rbpn[][]){ this.nut = new NutationTerms(dpsi, deps); this.epsa = epsa; this.rb = rb; this.rp = rp; this.rbp = rbp; this.rn = rn; this.rbpn = rbpn; } } /** * Precession-nutation, IAU 2000A model: a multi-purpose function, * supporting classical (equinox-based) use directly and CIO-based * use indirectly. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return dpsi double returned nutation (Note 2) * deps double returned nutation (Note 2) * epsa double returned mean obliquity (Note 3) * rb double[3][3] returned frame bias matrix (Note 4) * rp double[3][3] returned precession matrix (Note 5) * rbp double[3][3] returned bias-precession matrix (Note 6) * rn double[3][3] returned nutation matrix (Note 7) * rbpn double[3][3] returned GCRS-to-true matrix (Notes 8,9) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static PrecessionNutation jauPn00a(double date1, double date2) { /* Nutation. */ NutationTerms nut = jauNut00a(date1, date2); /* Remaining results. */ return jauPn00(date1, date2, nut.dpsi, nut.deps); } /** * Precession-nutation, IAU 2000B model: a multi-purpose function, * supporting classical (equinox-based) use directly and CIO-based * use indirectly. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return dpsi,deps double returned nutation (Note 2) * epsa double returned mean obliquity (Note 3) * rb double[3][3] returned frame bias matrix (Note 4) * rp double[3][3] returned precession matrix (Note 5) * rbp double[3][3] returned bias-precession matrix (Note 6) * rn double[3][3] returned nutation matrix (Note 7) * rbpn double[3][3] returned GCRS-to-true matrix (Notes 8,9) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003). * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *@version 2010 January 18 * * @since Release 20101201 * * */ public static PrecessionNutation jauPn00b(double date1, double date2) { /* Nutation. */ NutationTerms nut = jauNut00b(date1, date2); /* Remaining results. */ return jauPn00(date1, date2, nut.dpsi, nut.deps); } /** * Precession-nutation, IAU 2006 model: a multi-purpose function, * supporting classical (equinox-based) use directly and CIO-based use * indirectly. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param dpsi double nutation (Note 2) * @param deps double nutation (Note 2) * * * @return epsa double returned mean obliquity (Note 3) * rb double[3][3] returned frame bias matrix (Note 4) * rp double[3][3] returned precession matrix (Note 5) * rbp double[3][3] returned bias-precession matrix (Note 6) * rn double[3][3] returned nutation matrix (Note 7) * rbpn double[3][3] returned GCRS-to-true matrix (Note 8,9) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2009 December 17 * * @since Release 20101201 * * */ public static PrecessionNutation jauPn06(double date1, double date2, double dpsi, double deps) { double rb[][] = new double[3][3], rbp[][] = new double[3][3], rbpn[][] = new double[3][3]; /* Bias-precession Fukushima-Williams angles of J2000.0 = frame bias. */ FWPrecessionAngles fw = jauPfw06(DJM0, DJM00); /* B matrix. */ double[][] r1 = jauFw2m(fw.gamb, fw.phib, fw.psib, fw.epsa); jauCr(r1, rb); /* Bias-precession Fukushima-Williams angles of date. */ fw = jauPfw06(date1, date2); /* Bias-precession matrix. */ double[][] r2 = jauFw2m(fw.gamb, fw.phib, fw.psib, fw.epsa ); jauCr(r2, rbp); /* Solve for precession matrix. */ double[][] rt = jauTr(r1); double[][] rp = jauRxr(r2, rt); /* Equinox-based bias-precession-nutation matrix. */ r1 = jauFw2m(fw.gamb, fw.phib, fw.psib + dpsi, fw.epsa + deps); jauCr(r1, rbpn); /* Solve for nutation matrix. */ rt = jauTr(r2); double[][] rn = jauRxr(r1, rt); /* Obliquity, mean of date. */ double epsa = fw.epsa; return new PrecessionNutation(dpsi, deps, epsa, rb, rp, rbp, rn, rbpn); } /** * Precession-nutation, IAU 2006/2000A models: a multi-purpose function, * supporting classical (equinox-based) use directly and CIO-based use * indirectly. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return dpsi,deps double returned nutation (Note 2) * epsa double returned mean obliquity (Note 3) * rb double[3][3] returned frame bias matrix (Note 4) * rp double[3][3] returned precession matrix (Note 5) * rbp double[3][3] returned bias-precession matrix (Note 6) * rn double[3][3] returned nutation matrix (Note 7) * rbpn double[3][3] returned GCRS-to-true matrix (Notes 8,9) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *@version 2009 December 18 * * @since Release 20101201 * * */ public static PrecessionNutation jauPn06a(double date1, double date2) { /* Nutation. */ NutationTerms nut = jauNut06a(date1, date2); /* Remaining results. */ return jauPn06(date1, date2, nut.dpsi, nut.deps); } /** * Form the matrix of precession-nutation for a given date (including * frame bias), equinox-based, IAU 2000A model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rbpn double[3][3] returned bias-precession-nutation matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * * IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. * 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. * (2000) * *@version 2009 December 21 * * @since Release 20101201 * * */ public static double[][] jauPnm00a(double date1, double date2) { /* Obtain the required matrix (discarding other results). */ PrecessionNutation pn = jauPn00a(date1, date2); return pn.rbpn; } /** * Form the matrix of precession-nutation for a given date (including * frame bias), equinox-based, IAU 2000B model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rbpn double[3][3] returned bias-precession-nutation matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * * IAU: Trans. International Astronomical Union, Vol. XXIVB; Proc. * 24th General Assembly, Manchester, UK. Resolutions B1.3, B1.6. * (2000) * *@version 2009 December 21 * * @since Release 20101201 * * */ public static double[][] jauPnm00b(double date1, double date2) { /* Obtain the required matrix (discarding other results). */ PrecessionNutation pn = jauPn00b(date1, date2); return pn.rbpn; } /** * Form the matrix of precession-nutation for a given date (including * frame bias), equinox based, IAU 2006 precession and IAU 2000A nutation models. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return rbpn double[3][3] returned bias-precession-nutation matrix (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855. * *@version 2009 December 21 * * @since Release 20101201 * * */ public static double[][] jauPnm06a(double date1, double date2) { /* Fukushima-Williams angles for frame bias and precession. */ FWPrecessionAngles fw = jauPfw06(date1, date2); /* Nutation components. */ NutationTerms nut = jauNut06a(date1, date2); /* Equinox based nutation x precession x bias matrix. */ double[][] rbpn = jauFw2m(fw.gamb, fw.phib, fw.psib + nut.dpsi, fw.epsa + nut.deps); return rbpn; } /** * Form the matrix of precession/nutation for a given date, IAU 1976 * precession model, IAU 1980 nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB date (Note 1) * @param date2 double TDB date (Note 1) * * * @return rmatpn double[3][3] returned combined precession/nutation matrix * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992), * Section 3.3 (p145). * *@version 2010 January 23 * * @since Release 20101201 * * */ public static double[][] jauPnm80(double date1, double date2) { double rmatp[][] = new double[3][3], rmatn[][] = new double[3][3]; /* Precession matrix, J2000.0 to date. */ rmatp = jauPmat76(date1, date2 ); /* Nutation matrix. */ rmatn = jauNutm80(date1, date2); /* Combine the matrices: PN = N x P. */ double[][] rmatpn = jauRxr(rmatn, rmatp); return rmatpn; } /** * Form the matrix of polar motion for a given date, IAU 2000. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param xp double coordinates of the pole (radians, Note 1) * @param yp double coordinates of the pole (radians, Note 1) * @param sp double the TIO locator s' (radians, Note 2) * * * @return double[3][3] returned polar-motion matrix (Note 3) * *
Notes: *
Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2009 December 17 * * @since Release 20101201 * * */ public static double[][] jauPom00(double xp, double yp, double sp) { /* Construct the matrix. */ double rpom[][] = new double[3][3]; jauIr(rpom); jauRz(sp, rpom); jauRy(-xp, rpom); jauRx(-yp, rpom); return rpom; } /** * P-vector addition. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector * @param b double[3] second p-vector * * * @return apb double[3] returned a + b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *@version 2008 November 18 * * @since Release 20101201 * * */ public static double[] jauPpp(double a[] , double b[] ) { double apb[] = new double[3]; apb[0] = a[0] + b[0]; apb[1] = a[1] + b[1]; apb[2] = a[2] + b[2]; return apb; } /** * P-vector plus scaled p-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector * @param s double scalar (multiplier for b) * @param b double[3] second p-vector * * * @return apsb double[3] returned a + s*b * * Note: * It is permissible for any of a, b and apsb to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @param dpsipr double returned precession corrections (Notes 2,3) * @param depspr double returned precession corrections (Notes 2,3) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* References: * *
Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions * for the precession quantities based upon the IAU (1976) System of * Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977) * *
Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation * and precession New nutation series for nonrigid Earth and * insights into the Earth's interior", J.Geophys.Res., 107, B4, * 2002. The MHB2000 code itself was obtained on 9th September 2002 * from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A. * *
Wallace, P.T., "Software for Implementing the IAU 2000 * Resolutions", in IERS Workshop 5.1 (2002). * *@version 2009 December 17 * * @since Release 20101201 * * */ static PrecessionDeltaTerms jauPr00(double date1, double date2) { double t; /* Precession and obliquity corrections (radians per century) */ final double PRECOR = -0.29965 * DAS2R, OBLCOR = -0.02524 * DAS2R; /* Interval between fundamental epoch J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Precession rate contributions with respect to IAU 1976/80. */ double dpsipr = PRECOR * t; double depspr = OBLCOR * t; return new PrecessionDeltaTerms(dpsipr, depspr); } /** * Euler Angles. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 4 Feb 2010 * * @since AIDA Stage 1 */ public static class EulerAngles { /** 1st rotation: radians cw around z */ public double zeta; /** 3rd rotation: radians cw around z */ public double z; /** 2nd rotation: radians ccw around y */ public double theta; public EulerAngles(double zeta, double z, double theta){ this.zeta = zeta; this.z = z; this.theta = theta; } } /** * IAU 1976 precession model. * * This function forms the three Euler angles which implement general * precession between two epochs, using the IAU 1976 model (as for * the FK5 catalog). * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param ep01 double TDB starting epoch (Note 1) * @param ep02 double TDB starting epoch (Note 1) * @param ep11 double TDB ending epoch (Note 1) * @param ep12 double TDB ending epoch (Note 1) * * * @param zeta double returned 1st rotation: radians cw around z * @param z double returned 3rd rotation: radians cw around z * @param theta double returned 2nd rotation: radians ccw around y * *
Notes: *
Reference: * *
Lieske, J.H., 1979, Astron.Astrophys. 73, 282, equations * (6) & (7), p283. * *@version 2009 December 17 * * @since Release 20101201 * * */ static EulerAngles jauPrec76(double ep01, double ep02, double ep11, double ep12) { double t0, t, tas2r, w; /* Interval between fundamental epoch J2000.0 and start epoch (JC). */ t0 = ((ep01 - DJ00) + ep02) / DJC; /* Interval over which precession required (JC). */ t = ((ep11 - ep01) + (ep12 - ep02)) / DJC; /* Euler angles. */ tas2r = t * DAS2R; w = 2306.2181 + (1.39656 - 0.000139 * t0) * t0; double zeta = (w + ((0.30188 - 0.000344 * t0) + 0.017998 * t) * t) * tas2r; double z = (w + ((1.09468 + 0.000066 * t0) + 0.018203 * t) * t) * tas2r; double theta = ((2004.3109 + (-0.85330 - 0.000217 * t0) * t0) + ((-0.42665 - 0.000217 * t0) - 0.041833 * t) * t) * tas2r; return new EulerAngles(zeta, z, theta); } /** * Discard velocity component of a pv-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param pv double[2][3] pv-vector * * * @return p double[3] returned p-vector * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param pv double[2][3] pv-vector * * * @return theta double returned longitude angle (radians) * phi double returned latitude angle (radians) * r double returned radial distance * td double returned rate of change of theta * pd double returned rate of change of phi * rd double returned rate of change of r * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[2][3] first pv-vector * @param b double[2][3] second pv-vector * * * @return adb double[2] returned a . b (see note) * * Note: * * If the position and velocity components of the two pv-vectors are * ( ap, av ) and ( bp, bv ), the result, a . b, is the pair of * numbers ( ap . bp , ap . bv + av . bp ). The two numbers are the * dot-product of the two p-vectors and its derivative. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param pv double[2][3] pv-vector * * * @return modulus of position component, * modulus of velocity component * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[2][3] first pv-vector * @param b double[2][3] second pv-vector * * * @return double[2][3] returned a - b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[2][3] first pv-vector * @param b double[2][3] second pv-vector * * * @return apb double[2][3] returned a + b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * Given (Note 1): * @param pv double[2][3] pv-vector (au, au/day) * * * * @return catalogue value * * * @throws JSOFAInternalError superluminal speed (Note 5), or null position vector * *
Notes: *
Called:
Reference: * * Stumpff, P., 1985, Astron.Astrophys. 144, 232-240. * *@version 2017 May 30 * * @since Release 20101201 * * */ public static CatalogCoords jauPvstar(double pv[][]) throws JSOFAInternalError { double x[] = new double[3], vr, ur[] = new double[3], vt, ut[] = new double[3], bett, betr, d, w, del, usr[] = new double[3], ust[] = new double[3]; /* Isolate the radial component of the velocity (au/day, inertial). */ NormalizedVector nv = jauPn(pv[0]); x = nv.u; vr = jauPdp(x, pv[1]); ur = jauSxp(vr,x); /* Isolate the transverse component of the velocity (au/day, inertial). */ ut = jauPmp(pv[1], ur); vt = jauPm(ut); /* Special-relativity dimensionless parameters. */ bett = vt / DC; betr = vr / DC; /* The inertial-to-observed correction terms. */ d = 1.0 + betr; w = betr*betr + bett*bett; if (d == 0.0 || w > 1) throw new JSOFAInternalError("Superluminal speed", -1); del = -w / (sqrt(1.0 -w) + 1.0); /* Apply relativistic correction factor to radial velocity component. */ w = (betr != 0) ? (betr - del) / (betr * d) : 1.0; usr = jauSxp(w,ur); /* Apply relativistic correction factor to tangential velocity */ /* component. */ ust = jauSxp(1.0/d, ut); /* Combine the two to obtain the observed velocity vector (au/day). */ pv[1] = jauPpp(usr, ust); /* Cartesian to spherical. */ SphericalPositionVelocity pvs = jauPv2s(pv); if (pvs.pos.r == 0.0) throw new JSOFAInternalError("null position vector", -2); /* Return RA in range 0 to 2pi. */ double ra = jauAnp(pvs.pos.theta); /* Return proper motions in radians per year. */ double pmr = pvs.vel.theta * DJY; double pmd = pvs.vel.phi * DJY; /* Return parallax in arcsec. */ double px = DR2AS / pvs.pos.r; /* Return radial velocity in km/s. */ double rv = 1e-3 * pvs.vel.r * DAU / DAYSEC; /* OK status. */ return new CatalogCoords(ra, pvs.pos.phi, pmr, pmd, px, rv); } /** * Update a pv-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param dt double time interval * @param pv double[2][3] pv-vector * * * @return upv double[2][3] returned p updated, v unchanged * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param dt double time interval * @param pv double[2][3] pv-vector * * * @return p double[3] returned p-vector * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[2][3] first pv-vector * @param b double[2][3] second pv-vector * * * @return axb double[2][3] returned a x b * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector * @param b double[3] second p-vector * * * @return axb double[3] returned a x b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *@version 2008 November 18 * * @since Release 20101201 * * */ public static double[] jauPxp(double a[] , double b[] ) { double xa, ya, za, xb, yb, zb; double axb[] = new double[3]; xa = a[0]; ya = a[1]; za = a[2]; xb = b[0]; yb = b[1]; zb = b[2]; axb[0] = ya*zb - za*yb; axb[1] = za*xb - xa*zb; axb[2] = xa*yb - ya*xb; return axb; } /** * Express an r-matrix as an r-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] rotation matrix * * * @return w double[3] returned rotation vector (Note 1) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param w double[3] rotation vector (Note 1) * * * @return r double[3][3] returned rotation matrix * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param phi double angle (radians) * * Given and returned: * @param r double[3][3] r-matrix given and returned * * Sign convention: The matrix can be used to rotate the reference * frame of a vector. Calling this function with positive phi * incorporates in the matrix an additional rotation, about the x-axis, * anticlockwise as seen looking towards the origin from positive x. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix * @param p double[3] p-vector * * * @return rp double[3] returned r * p * * Note: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix * @param pv double[2][3] pv-vector * * * @return rpv double[2][3] returned r * pv * * Note: * It is permissible for pv and rpv to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3][3] first r-matrix * @param b double[3][3] second r-matrix * * * @return atb double[3][3] returned a * b * * Note: * It is permissible to re-use the same array for any of the * arguments. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param theta double angle (radians) * * Given and returned: * @param r double[3][3] given & returned r-matrix * * Sign convention: The matrix can be used to rotate the reference * frame of a vector. Calling This function with positive theta * incorporates in the matrix an additional rotation, about the y-axis, * anticlockwise as seen looking towards the origin from positive y. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param psi double angle (radians) * * Given and returned: * @param r double[3][3] given & retunedr-matrix, rotated * * Sign convention: The matrix can be used to rotate the reference * frame of a vector. Calling This function with positive psi * incorporates in the matrix an additional rotation, about the z-axis, * anticlockwise as seen looking towards the origin from positive z. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param x double CIP coordinates (Note 3) * @param y double CIP coordinates (Note 3) * * * @return double the CIO locator s in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double jauS00(double date1, double date2, double x, double y) { /* Time since J2000.0, in Julian centuries */ double t; /* Miscellaneous */ int i, j; double a, w0, w1, w2, w3, w4, w5; /* Fundamental arguments */ double fa[] = new double[8]; /* Returned value */ double s; /* --------------------- */ /* The series for s+XY/2 */ /* --------------------- */ /* Polynomial coefficients */ final double sp[] = { /* 1-6 */ 94.00e-6, 3808.35e-6, -119.94e-6, -72574.09e-6, 27.70e-6, 15.61e-6 }; /* Terms of order t^0 */ final TERM s0[] = { /* 1-10 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 ), new TERM(new int[]{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 ), /* 11-20 */ new TERM(new int[]{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 ), /* 21-30 */ new TERM(new int[]{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 ), new TERM(new int[]{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 ), /* 31-33 */ new TERM(new int[]{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 ) }; /* Terms of order t^1 */ final TERM s1[] ={ /* 1-3 */ new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.71e-6, -0.03e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 ) }; /* Terms of order t^2 */ final TERM s2[] ={ /* 1-10 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.53e-6, -0.17e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 ), new TERM(new int[]{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 ), /* 11-20 */ new TERM(new int[]{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 ), /* 21-25 */ new TERM(new int[]{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 ) }; /* Terms of order t^3 */ final TERM s3[] ={ /* 1-4 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.51e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.39e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.24e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.22e-6 ) }; /* Terms of order t^4 */ final TERM s4[] ={ /* 1-1 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 ) }; /* Number of terms in the series */ final int NS0 = s0.length; final int NS1 = s1.length; final int NS2 = s2.length; final int NS3 = s3.length; final int NS4 = s4.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental epoch J2000.0 and current date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Fundamental Arguments (from IERS Conventions 2003) */ /* Mean anomaly of the Moon. */ fa[0] = jauFal03(t); /* Mean anomaly of the Sun. */ fa[1] = jauFalp03(t); /* Mean longitude of the Moon minus that of the ascending node. */ fa[2] = jauFaf03(t); /* Mean elongation of the Moon from the Sun. */ fa[3] = jauFad03(t); /* Mean longitude of the ascending node of the Moon. */ fa[4] = jauFaom03(t); /* Mean longitude of Venus. */ fa[5] = jauFave03(t); /* Mean longitude of Earth. */ fa[6] = jauFae03(t); /* General precession in longitude. */ fa[7] = jauFapa03(t); /* Evaluate s. */ w0 = sp[0]; w1 = sp[1]; w2 = sp[2]; w3 = sp[3]; w4 = sp[4]; w5 = sp[5]; for (i = NS0-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s0[i].nfa[j] * fa[j]; } w0 += s0[i].s * sin(a) + s0[i].c * cos(a); } for (i = NS1-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s1[i].nfa[j] * fa[j]; } w1 += s1[i].s * sin(a) + s1[i].c * cos(a); } for (i = NS2-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s2[i].nfa[j] * fa[j]; } w2 += s2[i].s * sin(a) + s2[i].c * cos(a); } for (i = NS3-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s3[i].nfa[j] * fa[j]; } w3 += s3[i].s * sin(a) + s3[i].c * cos(a); } for (i = NS4-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s4[i].nfa[j] * fa[j]; } w4 += s4[i].s * sin(a) + s4[i].c * cos(a); } s = (w0 + (w1 + (w2 + (w3 + (w4 + w5 * t) * t) * t) * t) * t) * DAS2R - x*y/2.0; return s; } /** * The CIO locator s, positioning the Celestial Intermediate Origin on * the equator of the Celestial Intermediate Pole, using the IAU 2000A * precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double the CIO locator s in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double jauS00a(double date1, double date2) { double s; /* Bias-precession-nutation-matrix, IAU 2000A. */ double rbpn[][] = jauPnm00a(date1, date2); /* Extract the CIP coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Compute the CIO locator s, given the CIP coordinates. */ s = jauS00(date1, date2, cip.x, cip.y); return s; } /** * The CIO locator s, positioning the Celestial Intermediate Origin on * the equator of the Celestial Intermediate Pole, using the IAU 2000B * precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double the CIO locator s in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double jauS00b(double date1, double date2) { double rbpn[][] = new double[3][3], s; /* Bias-precession-nutation-matrix, IAU 2000B. */ rbpn = jauPnm00b(date1, date2); /* Extract the CIP coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Compute the CIO locator s, given the CIP coordinates. */ s = jauS00(date1, date2, cip.x, cip.y); return s; } /** * The CIO locator s, positioning the Celestial Intermediate Origin on * the equator of the Celestial Intermediate Pole, given the CIP's X,Y * coordinates. Compatible with IAU 2006/2000A precession-nutation. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * @param x double CIP coordinates (Note 3) * @param y double CIP coordinates (Note 3) * * * @return double the CIO locator s in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. & Chapront, J., 2003, Astron. * Astrophys. 432, 355 * *
McCarthy, D.D., Petit, G. (eds.) 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *@version 2009 December 17 * * @since Release 20101201 * * */ public static double jauS06(double date1, double date2, double x, double y) { /* Time since J2000.0, in Julian centuries */ double t; /* Miscellaneous */ int i, j; double a, w0, w1, w2, w3, w4, w5; /* Fundamental arguments */ double fa[] = new double[8]; /* Returned value */ double s; /* --------------------- */ /* The series for s+XY/2 */ /* --------------------- */ /* Polynomial coefficients */ final double sp[] = { /* 1-6 */ 94.00e-6, 3808.65e-6, -122.68e-6, -72574.11e-6, 27.98e-6, 15.62e-6 }; /* Terms of order t^0 */ final TERM s0[] = { /* 1-10 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 ), new TERM(new int[]{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 ), /* 11-20 */ new TERM(new int[]{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 ), /* 21-30 */ new TERM(new int[]{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 ), new TERM(new int[]{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 ), /* 31-33 */ new TERM(new int[]{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 ) }; /* Terms of order t^1 */ final TERM s1[] = { /* 1 - 3 */ new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.73e-6, -0.03e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 ) }; /* Terms of order t^2 */ final TERM s2[] = { /* 1-10 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.52e-6, -0.17e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 ), new TERM(new int[]{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 ), new TERM(new int[]{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 ), /* 11-20 */ new TERM(new int[]{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 ), /* 21-25 */ new TERM(new int[]{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 ), new TERM(new int[]{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 ), new TERM(new int[]{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 ) }; /* Terms of order t^3 */ final TERM s3[] = { /* 1-4 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.42e-6 ), new TERM(new int[]{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.46e-6 ), new TERM(new int[]{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.25e-6 ), new TERM(new int[]{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.23e-6 ) }; /* Terms of order t^4 */ final TERM s4[] = { /* 1-1 */ new TERM(new int[]{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 ) }; /* Number of terms in the series */ final int NS0 = s0.length; final int NS1 = s1.length; final int NS2 = s2.length; final int NS3 = s3.length; final int NS4 = s4.length; /*--------------------------------------------------------------------*/ /* Interval between fundamental epoch J2000.0 and current date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Fundamental Arguments (from IERS Conventions 2003) */ /* Mean anomaly of the Moon. */ fa[0] = jauFal03(t); /* Mean anomaly of the Sun. */ fa[1] = jauFalp03(t); /* Mean longitude of the Moon minus that of the ascending node. */ fa[2] = jauFaf03(t); /* Mean elongation of the Moon from the Sun. */ fa[3] = jauFad03(t); /* Mean longitude of the ascending node of the Moon. */ fa[4] = jauFaom03(t); /* Mean longitude of Venus. */ fa[5] = jauFave03(t); /* Mean longitude of Earth. */ fa[6] = jauFae03(t); /* General precession in longitude. */ fa[7] = jauFapa03(t); /* Evaluate s. */ w0 = sp[0]; w1 = sp[1]; w2 = sp[2]; w3 = sp[3]; w4 = sp[4]; w5 = sp[5]; for (i = NS0-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s0[i].nfa[j] * fa[j]; } w0 += s0[i].s * sin(a) + s0[i].c * cos(a); } for (i = NS1-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s1[i].nfa[j] * fa[j]; } w1 += s1[i].s * sin(a) + s1[i].c * cos(a); } for (i = NS2-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s2[i].nfa[j] * fa[j]; } w2 += s2[i].s * sin(a) + s2[i].c * cos(a); } for (i = NS3-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s3[i].nfa[j] * fa[j]; } w3 += s3[i].s * sin(a) + s3[i].c * cos(a); } for (i = NS4-1; i >= 0; i--) { a = 0.0; for (j = 0; j < 8; j++) { a += (double)s4[i].nfa[j] * fa[j]; } w4 += s4[i].s * sin(a) + s4[i].c * cos(a); } s = (w0 + (w1 + (w2 + (w3 + (w4 + w5 * t) * t) * t) * t) * t) * DAS2R - x*y/2.0; return s; } /** * The CIO locator s, positioning the Celestial Intermediate Origin on * the equator of the Celestial Intermediate Pole, using the IAU 2006 * precession and IAU 2000A nutation models. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double the CIO locator s in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Chapront, J., Lambert, S. and Wallace, P., * "Expressions for the Celestial Intermediate Pole and Celestial * Ephemeris Origin consistent with the IAU 2000A precession- * nutation model", Astron.Astrophys. 400, 1145-1154 (2003) * * n.b. The celestial ephemeris origin (CEO) was renamed "celestial * intermediate origin" (CIO) by IAU 2006 Resolution 2. * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2010 January 18 * * @since Release 20101201 * * */ public static double jauS06a(double date1, double date2) { double rnpb[][] = new double[3][3], s; /* Bias-precession-nutation-matrix, IAU 20006/2000A. */ rnpb = jauPnm06a(date1, date2); /* Extract the CIP coordinates. */ CelestialIntermediatePole cip = jauBpn2xy(rnpb); /* Compute the CIO locator s, given the CIP coordinates. */ s = jauS06(date1, date2, cip.x, cip.y); return s; } /** * Convert spherical coordinates to Cartesian. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param theta double longitude angle (radians) * @param phi double latitude angle (radians) * * * @return c double[3] returned direction cosines * *@version 2008 October 28 * * @since Release 20101201 * * */ public static double[] jauS2c(double theta, double phi ) { double cp, c[] = new double[3]; cp = cos(phi); c[0] = cos(theta) * cp; c[1] = sin(theta) * cp; c[2] = sin(phi); return c; } /** * Convert spherical polar coordinates to p-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param theta double longitude angle (radians) * @param phi double latitude angle (radians) * @param r double radial distance * * * @return p double[3] returned Cartesian coordinates * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param theta double longitude angle (radians) * @param phi double latitude angle (radians) * @param r double radial distance * @param td double rate of change of theta * @param pd double rate of change of phi * @param rd double rate of change of r * * * @return pv double[2][3] returned pv-vector * *@version 2008 May 25 * * @since Release 20101201 * * */ public static double[][] jauS2pv(double theta, double phi, double r, double td, double pd, double rd) { double pv[][] = new double[2][3]; double st, ct, sp, cp, rcp, x, y, rpd, w; st = sin(theta); ct = cos(theta); sp = sin(phi); cp = cos(phi); rcp = r * cp; x = rcp * ct; y = rcp * st; rpd = r * pd; w = rpd*sp - cp*rd; pv[0][0] = x; pv[0][1] = y; pv[0][2] = r * sp; pv[1][0] = -y*td - w*ct; pv[1][1] = x*td - w*st; pv[1][2] = rpd*cp + sp*rd; return pv; } /** * Multiply a pv-vector by two scalars. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param s1 double scalar to multiply position component by * @param s2 double scalar to multiply velocity component by * @param pv double[2][3] pv-vector * * * @return spv double[2][3] returned pv-vector: p scaled by s1, v scaled by s2 * * Note: * It is permissible for pv and spv to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param a double[3] first p-vector (not necessarily unit length) * @param b double[3] second p-vector (not necessarily unit length) * * * @return double angular separation (radians, always positive) * *
Notes: *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param al double first longitude (radians) * @param ap double first latitude (radians) * @param bl double second longitude (radians) * @param bp double second latitude (radians) * * * @return double angular separation (radians) * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return double the TIO locator s' in radians (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 24 * * @since Release 20101201 * * */ public static double jauSp00(double date1, double date2) { double t, sp; /* Interval between fundamental epoch J2000.0 and current date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Approximate s'. */ sp = -47e-6 * t * DAS2R; return sp; } /** * Star proper motion: update star catalog data for space motion. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ra1 double right ascension (radians), before * @param dec1 double declination (radians), before * @param pmr1 double RA proper motion (radians/year), before * @param pmd1 double Dec proper motion (radians/year), before * @param px1 double parallax (arcseconds), before * @param rv1 double radial velocity (km/s, +ve = receding), before * @param ep1a double "before" epoch, part A (Note 1) * @param ep1b double "before" epoch, part B (Note 1) * @param ep2a double "after" epoch, part A (Note 1) * @param ep2b double "after" epoch, part B (Note 1) * * * @return ra2 double returned right ascension (radians), after * dec2 double returned declination (radians), after * pmr2 double returned RA proper motion (radians/year), after * pmd2 double returned Dec proper motion (radians/year), after * px2 double returned parallax (arcseconds), after * rv2 double returned radial velocity (km/s, +ve = receding), after * * * @return int status: * -1 = system error (should not occur) * 0 = no warnings or errors * 1 = distance overridden (Note 6) * 2 = excessive velocity (Note 7) * 4 = solution didn't converge (Note 8) * else = binary logical OR of the above warnings *FIXME need to return the status as well. *
Notes: *
* epna epnb
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * Given (Note 1): * @param ra double right ascension (radians) * @param dec double declination (radians) * @param pmr double RA proper motion (radians/year) * @param pmd double Dec proper motion (radians/year) * @param px double parallax (arcseconds) * @param rv double radial velocity (km/s, positive = receding) * * Returned (Note 2): * @param pv double[2][3] pv-vector (au, au/day) * * * @return int status: * 0 = no warnings * 1 = distance overridden (Note 6) * 2 = excessive speed (Note 7) * 4 = solution didn't converge (Note 8) * else = binary logical OR of the above * *
Notes: *
Called:
Reference: * * Stumpff, P., 1985, Astron.Astrophys. 144, 232-240. * *@version 2009 July 6 * * @since Release 20101201 * * */ public static int jauStarpv(double ra, double dec, double pmr, double pmd, double px, double rv, double pv[][]) { /* Smallest allowed parallax */ final double PXMIN = 1e-7; /* Largest allowed speed (fraction of c) */ final double VMAX = 0.5; /* Maximum number of iterations for relativistic solution */ final int IMAX = 100; int i, iwarn; double w, r, rd, rad, decd, v, x[] = new double[3], usr[] = new double[3], ust[] = new double[3], vsr, vst, betst, betsr, bett, betr, dd, ddel, ur[] = new double[3], ut[] = new double[3], d = 0.0, del = 0.0, /* to prevent */ odd = 0.0, oddel = 0.0, /* compiler */ od = 0.0, odel = 0.0; /* warnings */ /* Distance (au). */ if (px >= PXMIN) { w = px; iwarn = 0; } else { w = PXMIN; iwarn = 1; } r = DR2AS / w; /* Radial velocity (au/day). */ rd = DAYSEC * rv * 1e3 / DAU; /* Proper motion (radian/day). */ rad = pmr / DJY; decd = pmd / DJY; /* To pv-vector (au,au/day). */ double[][] pvt = jauS2pv(ra, dec, r, rad, decd, rd); jauCpv(pvt,pv); /* If excessive velocity, arbitrarily set it to zero. */ v = jauPm(pv[1]); if (v / DC > VMAX) { jauZp(pv[1]); iwarn += 2; } /* Isolate the radial component of the velocity (au/day). */ NormalizedVector nv = jauPn(pv[0]); w = nv.r; x = nv.u; vsr = jauPdp(x, pv[1]); usr = jauSxp(vsr,x); /* Isolate the transverse component of the velocity (au/day). */ ust = jauPmp(pv[1], usr); vst = jauPm(ust); /* Special-relativity dimensionless parameters. */ betsr = vsr / DC; betst = vst / DC; /* Determine the inertial-to-observed relativistic correction terms. */ bett = betst; betr = betsr; for (i = 0; i < IMAX; i++) { d = 1.0 + betr; del = sqrt(1.0 - betr*betr - bett*bett) - 1.0; betr = d * betsr + del; bett = d * betst; if (i > 0) { dd = abs(d - od); ddel = abs(del - odel); if ((i > 1) && (dd >= odd) && (ddel >= oddel)) break; odd = dd; oddel = ddel; } od = d; odel = del; } if (i >= IMAX) iwarn += 4; /* Replace observed radial velocity with inertial value. */ w = (betsr != 0.0) ? d + del / betsr : 1.0; ur = jauSxp(w,usr); /* Replace observed tangential velocity with inertial value. */ ut = jauSxp(d,ust); /* Combine the two to obtain the inertial space velocity. */ pv[1] = jauPpp(ur, ut); /* Return the status. */ return iwarn; } /** * Multiply a p-vector by a scalar. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param s double scalar * @param p double[3] p-vector * * * @return sp double[3] returned s * p * * * *@version 2008 October 28 * * @since Release 20101201 * * */ public static double[] jauSxp(double s, double p[]) { double sp[] = new double[3]; sp[0] = s * p[0]; sp[1] = s * p[1]; sp[2] = s * p[2]; return sp; } /** * Multiply a pv-vector by a scalar. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param s double scalar * @param pv double[2][3] pv-vector * * * @return spv double[2][3] returned s * pv * * Note: * It is permissible for pv and psv to be the same array * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tai1 double TAI as a 2-part Julian Date * @param tai2 double TAI as a 2-part Julian Date * * * @return JulianDate TT as a 2-part Julian Date * * * Note: * * tai1+tai2 is Julian Date, apportioned in any convenient way * between the two arguments, for example where tai1 is the Julian * Day Number and tai2 is the fraction of a day. The returned * tt1,tt2 follow suit. * *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTaitt(double tai1, double tai2) { double tt1, tt2; /* TT minus TAI (days). */ final double dtat = TTMTAI / DAYSEC; /* Result, safeguarding precision. */ if ( abs(tai1) > abs(tai2) ) { tt1 = tai1; tt2 = tai2 + dtat; } else { tt1 = tai1 + dtat; tt2 = tai2; } return new JulianDate(tt1, tt2); }; /** * * Time scale transformation: International Atomic Time, TAI, to * Universal Time, UT1. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tai1 double TAI as a 2-part Julian Date * @param tai2 double TAI as a 2-part Julian Date * @param dta double UT1-TAI in seconds * * * @return UT1 as a 2-part Julian Date * * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tai1 TAI as a 2-part Julian Date (Note 1) * @param tai2 TAI as a 2-part Julian Date (Note 1) * * * @return UTC as a 2-part quasi Julian Date (Notes 1-3) * * Returned (function value): * int status: +1 = dubious year (Note 4) * 0 = OK * -1 = unacceptable date * *
Notes:
*References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * * @throws JSOFAIllegalParameter * @throws JSOFAInternalError an internal error has occured */ public static JulianDate jauTaiutc(double tai1, double tai2) throws JSOFAIllegalParameter, JSOFAInternalError { boolean big1; int i; double a1, a2,dats1, ddats, dats2, datd = 0.0, as1, as2, da, d1, d2, fd; double utc1, utc2; /* Put the two parts of the TAI into big-first order. */ big1 = ( abs(tai1) >= abs(tai2) ); if ( big1 ) { a1 = tai1; a2 = tai2; } else { a1 = tai2; a2 = tai1; } /* See if the TAI can possibly be in a leap-second day. */ d1 = a1; dats1 = 0.0; for ( i = -1; i <= 3; i++ ) { d2 = a2 + (double) i; Calendar dt; dt = jauJd2cal(d1, d2 ); dats2 = jauDat(dt.iy, dt.im, dt.id, 0.0); //FIXME if ( js < 0 ) return -1; if ( i == -1 ) dats1 = dats2; ddats = dats2 - dats1; datd = dats1 / DAYSEC; if ( abs(ddats) >= 0.5 ) { /* Yes. Get TAI for the start of the UTC day that */ /* ends in a leap. */ JulianDate jd = jauCal2jd(dt.iy, dt.im, dt.id ); d1 = jd.djm0; d2 = jd.djm1; as1 = d1; as2 = d2 - 1.0 + datd; /* Is the TAI after this point? */ da = a1 - as1; da = da + ( a2 - as2 ); if ( da > 0 ) { /* Yes: fraction of the current UTC day that has elapsed. */ fd = da * DAYSEC / ( DAYSEC + ddats ); /* Ramp TAI-UTC to bring about SOFA's JD(UTC) convention. */ datd += ddats * ( fd <= 1.0 ? fd : 1.0 ) / DAYSEC; } /* Done. */ break; } dats1 = dats2; } /* Subtract the (possibly adjusted) TAI-UTC from TAI to give UTC. */ a2 -= datd; /* Return the UTC result, preserving the TAI order. */ if ( big1 ) { utc1 = a1; utc2 = a2; } else { utc1 = a2; utc2 = a1; } /* TODO Status */ return new JulianDate(utc1, utc2); }; /** * * Time scale transformation: Barycentric Coordinate Time, TCB, to * Barycentric Dynamical Time, TDB. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tcb1 double TCB as a 2-part Julian Date * @param tcb2 double TCB as a 2-part Julian Date * * * @return TDB as a 2-part Julian Date * * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tcg1 double TCG as a 2-part Julian Date * @param tcg2 double TCG as a 2-part Julian Date * * * @return TT as a 2-part Julian Date * * * Note: * * tcg1+tcg2 is Julian Date, apportioned in any convenient way * between the two arguments, for example where tcg1 is the Julian * Day Number and tcg22 is the fraction of a day. The returned * tt1,tt2 follow suit. * *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),. * IERS Technical Note No. 32, BKG (2004) * * IAU 2000 Resolution B1.9 * *@version 2010 May 14 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTcgtt(double tcg1, double tcg2) { double tt1,tt2; /* 1977 Jan 1 00:00:32.184 TT, as MJD */ final double t77t = DJM77 + TTMTAI/DAYSEC; /* Result, safeguarding precision. */ if ( abs(tcg1) > abs(tcg2) ) { tt1 = tcg1; tt2 = tcg2 - ( ( tcg1 - DJM0 ) + ( tcg2 - t77t ) ) * ELG; } else { tt1 = tcg1 - ( ( tcg2 - DJM0 ) + ( tcg1 - t77t ) ) * ELG; tt2 = tcg2; } return new JulianDate(tt1, tt2); }; /** * * Time scale transformation: Barycentric Dynamical Time, TDB, to * Barycentric Coordinate Time, TCB. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tdb1 TDB as a 2-part Julian Date * @param tdb2 TDB as a 2-part Julian Date * * * @return TCB as a 2-part Julian Date * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tdb1 double TDB as a 2-part Julian Date * @param tdb2 double TDB as a 2-part Julian Date * @param dtr double TDB-TT in seconds * * * @return TT as a 2-part Julian Date * * *
Notes: *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * IAU 2006 Resolution 3 * *@version 2010 May 13 * *@since SOFA release 2010-12-01 * * * */ public static JulianDate jauTdbtt(double tdb1, double tdb2, double dtr ) { double tt1, tt2; double dtrd; /* Result, safeguarding precision. */ dtrd = dtr / DAYSEC; if ( abs(tdb1) > abs(tdb2) ) { tt1 = tdb1; tt2 = tdb2 - dtrd; } else { tt1 = tdb1 - dtrd; tt2 = tdb2; } return new JulianDate(tt1, tt2); } /** * * Convert hours, minutes, seconds to radians. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param s char sign: '-' = negative, otherwise positive * @param ihour int hours * @param imin int minutes * @param sec double seconds * * * @return double angle in radians *@throws JSOFAIllegalParameter illegal parameter of some form * 1 = ihour outside range 0-23 * 2 = imin outside range 0-59 * 3 = sec outside range 0-59.999... * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param s char sign: '-' = negative, otherwise positive * @param ihour int hours * @param imin int minutes * @param sec double seconds * * * @return double interval in days * * Returned (function value): * int status: 0 = OK * 1 = ihour outside range 0-23 * 2 = imin outside range 0-59 * 3 = sec outside range 0-59.999... * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix * * * @return rt double[3][3] returned transpose * * Note: * It is permissible for r and rt to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix * @param p double[3] p-vector * * * @return trp double[3] returned r * p * * Note: * It is permissible for p and trp to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] r-matrix * @param pv double[2][3] pv-vector * * * @return trpv double[2][3] returned r * pv * * Note: * It is permissible for pv and trpv to be the same array. * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tt1 double TT as a 2-part Julian Date * @param tt2 double TT as a 2-part Julian Date * * * @return TAI as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * * Note: * * tt1+tt2 is Julian Date, apportioned in any convenient way between * the two arguments, for example where tt1 is the Julian Day Number * and tt2 is the fraction of a day. The returned tai1,tai2 follow * suit. * *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 13 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTttai(double tt1, double tt2) { double tai1, tai2; /* TT minus TAI (days). */ final double dtat = TTMTAI / 86400.0; /* Result, safeguarding precision. */ if ( abs(tt1) > abs(tt2) ) { tai1 = tt1; tai2 = tt2 - dtat; } else { tai1 = tt1 - dtat; tai2 = tt2; } return new JulianDate(tai1, tai2); }; /** * * Time scale transformation: Terrestrial Time, TT, to Geocentric * Coordinate Time, TCG. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tt1 double TT as a 2-part Julian Date * @param tt2 double TT as a 2-part Julian Date * * * @return TCG as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * * Note: * * tt1+tt2 is Julian Date, apportioned in any convenient way between * the two arguments, for example where tt1 is the Julian Day Number * and tt2 is the fraction of a day. The returned tcg1,tcg2 follow * suit. * *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * IAU 2000 Resolution B1.9 * *@version 2010 May 13 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTttcg(double tt1, double tt2) { double tcg1, tcg2; /* 1977 Jan 1 00:00:32.184 TT, as MJD */ final double t77t = DJM77 + TTMTAI/DAYSEC; /* TT to TCG rate */ final double elgg = ELG/(1.0-ELG); /* Result, safeguarding precision. */ if ( abs(tt1) > abs(tt2) ) { tcg1 = tt1; tcg2 = tt2 + ( ( tt1 - DJM0 ) + ( tt2 - t77t ) ) * elgg; } else { tcg1 = tt1 + ( ( tt2 - DJM0 ) + ( tt1 - t77t ) ) * elgg; tcg2 = tt2; } return new JulianDate(tcg1, tcg2); }; /** * * Time scale transformation: Terrestrial Time, TT, to Barycentric * Dynamical Time, TDB. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tt1 double TT as a 2-part Julian Date * @param tt2 double TT as a 2-part Julian Date * @param dtr double TDB-TT in seconds * * * @return TDB as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * *
Notes: * * 1 tt1+tt2 is Julian Date, apportioned in any convenient way between * the two arguments, for example where tt1 is the Julian Day Number * and tt2 is the fraction of a day. The returned tdb1,tdb2 follow * suit. * * 2 The argument dtr represents the quasi-periodic component of the * GR transformation between TT and TCB. It is dependent upon the * adopted solar-system ephemeris, and can be obtained by numerical * integration, by interrogating a precomputed time ephemeris or by * evaluating a model such as that implemented in the SOFA function * jauDtdb. The quantity is dominated by an annual term of 1.7 ms * amplitude. * * 3 TDB is essentially the same as Teph, the time argument for the JPL * solar system ephemerides. * *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * IAU 2006 Resolution 3 * *@version 2010 May 13 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTttdb(double tt1, double tt2, double dtr) { double tdb1, tdb2; double dtrd; /* Result, safeguarding precision. */ dtrd = dtr / DAYSEC; if ( abs(tt1) > abs(tt2) ) { tdb1 = tt1; tdb2 = tt2 + dtrd; } else { tdb1 = tt1 + dtrd; tdb2 = tt2; } return new JulianDate(tdb1, tdb2); }; /** * * Time scale transformation: Terrestrial Time, TT, to Universal Time, * UT1. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param tt1 double TT as a 2-part Julian Date * @param tt2 double TT as a 2-part Julian Date * @param dt double TT-UT1 in seconds * * * @return UT1 as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * *
Notes: * * 1 tt1+tt2 is Julian Date, apportioned in any convenient way between * the two arguments, for example where tt1 is the Julian Day Number * and tt2 is the fraction of a day. The returned ut11,ut12 follow * suit. * * 2 The argument dt is classical Delta T. * * Reference: * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauTtut1(double tt1, double tt2, double dt) { double ut11, ut12; double dtd; /* Result, safeguarding precision. */ dtd = dt / DAYSEC; if ( abs(tt1) > abs(tt2) ) { ut11 = tt1; ut12 = tt2 - dtd; } else { ut11 = tt1 - dtd; ut12 = tt2; } return new JulianDate(ut11, ut12); }; /** * * Time scale transformation: Universal Time, UT1, to International * Atomic Time, TAI. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param ut11 double UT1 as a 2-part Julian Date * @param ut12 double UT1 as a 2-part Julian Date * @param dta double UT1-TAI in seconds * * * @return TAI as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * *
Notes: * * 1 ut11+ut12 is Julian Date, apportioned in any convenient way * between the two arguments, for example where ut11 is the Julian * Day Number and ut12 is the fraction of a day. The returned * TAI1,TAI2 follow suit. * * 2 The argument dta, i.e. UT1-TAI, is an observed quantity, and is * available from IERS tabulations. * * Reference: * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauUt1tai(double ut11, double ut12, double dta ) { double tai1, tai2; double dtad; /* Result, safeguarding precision. */ dtad = dta / DAYSEC; if ( abs(ut11) > abs(ut12) ) { tai1 = ut11; tai2 = ut12 - dtad; } else { tai1 = ut11 - dtad; tai2 = ut12; } return new JulianDate(tai1, tai2); }; /** * * Time scale transformation: Universal Time, UT1, to Terrestrial * Time, TT. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param ut11 double UT1 as a 2-part Julian Date * @param ut12 double UT1 as a 2-part Julian Date * @param dt double TT-UT1 in seconds * * * @return TAI as a 2-part Julian Date * * Returned (function value): * int status: 0 = OK * *
Notes: * * 1 ut11+ut12 is Julian Date, apportioned in any convenient way * between the two arguments, for example where ut11 is the Julian * Day Number and ut12 is the fraction of a day. The returned * tt1,tt2 follow suit. * * 2 The argument dt is classical Delta T. * * Reference: * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * */ public static JulianDate jauUt1tt(double ut11, double ut12, double dt) { double tt1, tt2; double dtd; /* Result, safeguarding precision. */ dtd = dt / DAYSEC; if ( abs(ut11) > abs(ut12) ) { tt1 = ut11; tt2 = ut12 + dtd; } else { tt1 = ut11 + dtd; tt2 = ut12; } return new JulianDate(tt1, tt2); }; /** * * Time scale transformation: Universal Time, UT1, to Coordinated * Universal Time, UTC. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param ut11 double UT1 as a 2-part Julian Date (Note 1) * @param ut12 double UT1 as a 2-part Julian Date (Note 1) * @param dut1 double Delta UT1: UT1-UTC in seconds (Note 2) * * * @return JulianDate UTC as a 2-part quasi Julian Date (Notes 3,4) * * Returned (function value): * int status: +1 = dubious year (Note 5) * 0 = OK * -1 = unacceptable date * *
Notes: *
References: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *
Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 May 16 * *@since SOFA release 2010-12-01 * * * @throws JSOFAIllegalParameter unacceptable date * @throws JSOFAInternalError an internal error has occured */ public static JulianDate jauUt1utc(double ut11, double ut12, double dut1) throws JSOFAIllegalParameter, JSOFAInternalError { double utc1, utc2; boolean big1; int i; double duts, u1, u2, d1, dats1, d2, fd, dats2, ddats, us1, us2, du; /* UT1-UTC in seconds. */ duts = dut1; /* Put the two parts of the UT1 into big-first order. */ big1 = ( abs(ut11) >= abs(ut12) ); if ( big1 ) { u1 = ut11; u2 = ut12; } else { u1 = ut12; u2 = ut11; } /* See if the UT1 can possibly be in a leap-second day. */ d1 = u1; dats1 = 0; for ( i = -1; i <= 3; i++ ) { d2 = u2 + (double) i; Calendar dt = jauJd2cal(d1, d2 ); dats2 = jauDat(dt.iy, dt.im, dt.id, 0.0); if ( i == - 1 ) dats1 = dats2; ddats = dats2 - dats1; if ( abs(ddats) >= 0.5 ) { /* Yes, leap second nearby: ensure UT1-UTC is "before" value. */ if ( ddats * duts >= 0 ) duts -= ddats; /* UT1 for the start of the UTC day that ends in a leap. */ JulianDate jd = jauCal2jd(dt.iy, dt.im, dt.id ); d1 = jd.djm0; d2 = jd.djm1; us1 = d1; us2 = d2 - 1.0 + duts/DAYSEC; /* Is the UT1 after this point? */ du = u1 - us1; du += u2 - us2; if ( du > 0 ) { /* Yes: fraction of the current UTC day that has elapsed. */ fd = du * DAYSEC / ( DAYSEC + ddats ); /* Ramp UT1-UTC to bring about SOFA's JD(UTC) convention. */ duts += ddats * ( fd <= 1.0 ? fd : 1.0 ); } /* Done. */ break; } dats1 = dats2; } /* Subtract the (possibly adjusted) UT1-UTC from UT1 to give UTC. */ u2 -= duts / DAYSEC; /* Result, safeguarding precision. */ if ( big1 ) { utc1 = u1; utc2 = u2; } else { utc1 = u2; utc2 = u1; } /* FIXME Status. */ return new JulianDate(utc1, utc2); }; /** * * Time scale transformation: Coordinated Universal Time, UTC, to * International Atomic Time, TAI. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param utc1 double UTC as a 2-part quasi Julian Date (Notes 1-4) * @param utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4) * * * @return JulianDate TAI as a 2-part Julian Date (Note 5) * * Returned (function value): * int status: +1 = dubious year (Note 3) * 0 = OK * -1 = unacceptable date * *
Notes: *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * *@version 2010 September 10 * *@since SOFA release 2010-12-01 * * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter unaccaptable date * */ public static JulianDate jauUtctai(double utc1, double utc2) throws JSOFAIllegalParameter, JSOFAInternalError { double tai1, tai2; boolean big1; double u1, u2, dats, datst, ddat, a2, fd; /* Put the two parts of the UTC into big-first order. */ big1 = ( abs(utc1) >= abs(utc2) ); if ( big1 ) { u1 = utc1; u2 = utc2; } else { u1 = utc2; u2 = utc1; } /* Get TAI-UTC now. */ Calendar dt = jauJd2cal(u1, u2 ); dats = jauDat(dt.iy, dt.im, dt.id, dt.fd); // if ( js < 0 ) return -1; fd = dt.fd; /* Get TAI-UTC tomorrow. */ Calendar dtt = jauJd2cal(u1+1.5, u2-fd ); datst = jauDat(dtt.iy, dtt.im, dtt.id, dtt.fd); // if ( js < 0 ) return -1; /* If today ends in a leap second, scale the fraction into SI days. */ ddat = datst - dats; if ( abs(ddat) > 0.5 ) fd += fd * ddat / DAYSEC; /* Today's calendar date to 2-part JD. */ JulianDate jd = jauCal2jd(dt.iy, dt.im, dt.id ) ; /* Assemble the TAI result, preserving the UTC split and order. */ a2 = jd.djm0 - u1; a2 += jd.djm1; a2 += fd + dats / DAYSEC; if ( big1 ) { tai1 = u1; tai2 = a2; } else { tai1 = a2; tai2 = u1; } /* FIXME Status. */ return new JulianDate(tai1, tai2); }; /** * * Time scale transformation: Coordinated Universal Time, UTC, to * Universal Time, UT1. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: canonical. * * * @param utc1 double UTC as a 2-part quasi Julian Date (Notes 1-4) * @param utc2 double UTC as a 2-part quasi Julian Date (Notes 1-4) * @param dut1 double Delta UT1 = UT1-UTC in seconds (Note 5) * * * @return UT1 as a 2-part Julian Date (Note 6) * * Returned (function value): * int status: +1 = dubious year (Note 7) * 0 = OK * -1 = unacceptable date * *
Notes: *
References: * * McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * * Explanatory Supplement to the Astronomical Almanac, * P. Kenneth Seidelmann (ed), University Science Books (1992) * * Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: canonical model. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return CIP X,Y coordinates (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N., Wallace, P.T. & Chapront, J., 2003, * Astron.Astrophys., 412, 567 * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003), * IERS Technical Note No. 32, BKG * * Simon, J.L., Bretagnon, P., Chapront, J., Chapront-Touze, M., * Francou, G. & Laskar, J., Astron.Astrophys., 1994, 282, 663 * * Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M., 1999, * Astron.Astrophys.Supp.Ser. 135, 111 * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2009 October 16 * * @since Release 20101201 * * */ { /* Maximum power of T in the polynomials for X and Y */ final int MAXPT = (5); /* Polynomial coefficients (arcsec, X then Y). */ final double xyp[][] = { { -0.016617, 2004.191898, -0.4297829, -0.19861834, 0.000007578, 0.0000059285 }, { -0.006951, -0.025896, -22.4072747, 0.00190059, 0.001112526, 0.0000001358 } }; /* N.B mfals defined as class static (outside this method) to avoid problems with 65535 byte limit for methods */ /* Number of frequencies: luni-solar */ final int NFLS = mfals.length; /* Number of frequencies: planetary */ final int NFPL =mfapl.length ; /* Pointers into amplitudes array, one pointer per frequency */ final int nc[] = { /* 1-100 */ 1, 21, 37, 51, 65, 79, 91, 103, 115, 127, 139, 151, 163, 172, 184, 196, 207, 219, 231, 240, 252, 261, 273, 285, 297, 309, 318, 327, 339, 351, 363, 372, 384, 396, 405, 415, 423, 435, 444, 452, 460, 467, 474, 482, 490, 498, 506, 513, 521, 528, 536, 543, 551, 559, 566, 574, 582, 590, 597, 605, 613, 620, 628, 636, 644, 651, 658, 666, 674, 680, 687, 695, 702, 710, 717, 725, 732, 739, 746, 753, 760, 767, 774, 782, 790, 798, 805, 812, 819, 826, 833, 840, 846, 853, 860, 867, 874, 881, 888, 895, /* 101-200 */ 901, 908, 914, 921, 928, 934, 941, 948, 955, 962, 969, 976, 982, 989, 996, 1003, 1010, 1017, 1024, 1031, 1037, 1043, 1050, 1057, 1064, 1071, 1078, 1084, 1091, 1098, 1104, 1112, 1118, 1124, 1131, 1138, 1145, 1151, 1157, 1164, 1171, 1178, 1185, 1192, 1199, 1205, 1212, 1218, 1226, 1232, 1239, 1245, 1252, 1259, 1266, 1272, 1278, 1284, 1292, 1298, 1304, 1310, 1316, 1323, 1329, 1335, 1341, 1347, 1353, 1359, 1365, 1371, 1377, 1383, 1389, 1396, 1402, 1408, 1414, 1420, 1426, 1434, 1440, 1446, 1452, 1459, 1465, 1471, 1477, 1482, 1488, 1493, 1499, 1504, 1509, 1514, 1520, 1527, 1532, 1538, /* 201-300 */ 1543, 1548, 1553, 1558, 1564, 1569, 1574, 1579, 1584, 1589, 1594, 1596, 1598, 1600, 1602, 1605, 1608, 1610, 1612, 1617, 1619, 1623, 1625, 1627, 1629, 1632, 1634, 1640, 1642, 1644, 1646, 1648, 1650, 1652, 1654, 1658, 1660, 1662, 1664, 1668, 1670, 1672, 1673, 1675, 1679, 1681, 1683, 1684, 1686, 1688, 1690, 1693, 1695, 1697, 1701, 1703, 1705, 1707, 1709, 1711, 1712, 1715, 1717, 1721, 1723, 1725, 1727, 1729, 1731, 1733, 1735, 1737, 1739, 1741, 1743, 1745, 1747, 1749, 1751, 1753, 1755, 1757, 1759, 1761, 1762, 1764, 1766, 1768, 1769, 1771, 1773, 1775, 1777, 1779, 1781, 1783, 1785, 1787, 1788, 1790, /* 301-400 */ 1792, 1794, 1796, 1798, 1800, 1802, 1804, 1806, 1807, 1809, 1811, 1815, 1817, 1819, 1821, 1823, 1825, 1827, 1829, 1831, 1833, 1835, 1837, 1839, 1840, 1842, 1844, 1848, 1850, 1852, 1854, 1856, 1858, 1859, 1860, 1862, 1864, 1866, 1868, 1869, 1871, 1873, 1875, 1877, 1879, 1881, 1883, 1885, 1887, 1889, 1891, 1892, 1896, 1898, 1900, 1901, 1903, 1905, 1907, 1909, 1910, 1911, 1913, 1915, 1919, 1921, 1923, 1927, 1929, 1931, 1933, 1935, 1937, 1939, 1943, 1945, 1947, 1948, 1949, 1951, 1953, 1955, 1957, 1958, 1960, 1962, 1964, 1966, 1968, 1970, 1971, 1973, 1974, 1975, 1977, 1979, 1980, 1981, 1982, 1984, /* 401-500 */ 1986, 1988, 1990, 1992, 1994, 1995, 1997, 1999, 2001, 2003, 2005, 2007, 2008, 2009, 2011, 2013, 2015, 2017, 2019, 2021, 2023, 2024, 2025, 2027, 2029, 2031, 2033, 2035, 2037, 2041, 2043, 2045, 2046, 2047, 2049, 2051, 2053, 2055, 2056, 2057, 2059, 2061, 2063, 2065, 2067, 2069, 2070, 2071, 2072, 2074, 2076, 2078, 2080, 2082, 2084, 2086, 2088, 2090, 2092, 2094, 2095, 2096, 2097, 2099, 2101, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2113, 2115, 2119, 2121, 2123, 2125, 2127, 2129, 2131, 2133, 2135, 2136, 2137, 2139, 2141, 2143, 2145, 2147, 2149, 2151, 2153, 2155, 2157, 2159, 2161, 2163, 2165, 2167, /* 501-600 */ 2169, 2171, 2173, 2175, 2177, 2179, 2181, 2183, 2185, 2186, 2187, 2188, 2192, 2193, 2195, 2197, 2199, 2201, 2203, 2205, 2207, 2209, 2211, 2213, 2217, 2219, 2221, 2223, 2225, 2227, 2229, 2231, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2244, 2246, 2248, 2250, 2252, 2254, 2256, 2258, 2260, 2262, 2264, 2266, 2268, 2270, 2272, 2274, 2276, 2278, 2280, 2282, 2284, 2286, 2288, 2290, 2292, 2294, 2296, 2298, 2300, 2302, 2303, 2304, 2305, 2306, 2307, 2309, 2311, 2313, 2315, 2317, 2319, 2321, 2323, 2325, 2327, 2329, 2331, 2333, 2335, 2337, 2341, 2343, 2345, 2347, 2349, 2351, 2352, 2355, 2356, /* 601-700 */ 2357, 2358, 2359, 2361, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2376, 2378, 2380, 2382, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2417, 2418, 2430, 2438, 2445, 2453, 2460, 2468, 2474, 2480, 2488, 2496, 2504, 2512, 2520, 2527, 2535, 2543, 2550, 2558, 2566, 2574, 2580, 2588, 2596, 2604, 2612, 2619, 2627, 2634, 2642, 2648, 2656, 2664, 2671, 2679, 2685, 2693, 2701, 2709, 2717, 2725, 2733, 2739, 2747, 2753, 2761, 2769, /* 701-800 */ 2777, 2785, 2793, 2801, 2809, 2817, 2825, 2833, 2841, 2848, 2856, 2864, 2872, 2878, 2884, 2892, 2898, 2906, 2914, 2922, 2930, 2938, 2944, 2952, 2958, 2966, 2974, 2982, 2988, 2996, 3001, 3009, 3017, 3025, 3032, 3039, 3045, 3052, 3059, 3067, 3069, 3076, 3083, 3090, 3098, 3105, 3109, 3111, 3113, 3120, 3124, 3128, 3132, 3136, 3140, 3144, 3146, 3150, 3158, 3161, 3165, 3166, 3168, 3172, 3176, 3180, 3182, 3185, 3189, 3193, 3194, 3197, 3200, 3204, 3208, 3212, 3216, 3219, 3221, 3222, 3226, 3230, 3234, 3238, 3242, 3243, 3247, 3251, 3254, 3258, 3262, 3266, 3270, 3274, 3275, 3279, 3283, 3287, 3289, 3293, /* 801-900 */ 3296, 3300, 3303, 3307, 3311, 3315, 3319, 3321, 3324, 3327, 3330, 3334, 3338, 3340, 3342, 3346, 3350, 3354, 3358, 3361, 3365, 3369, 3373, 3377, 3381, 3385, 3389, 3393, 3394, 3398, 3402, 3406, 3410, 3413, 3417, 3421, 3425, 3429, 3433, 3435, 3439, 3443, 3446, 3450, 3453, 3457, 3458, 3461, 3464, 3468, 3472, 3476, 3478, 3481, 3485, 3489, 3493, 3497, 3501, 3505, 3507, 3511, 3514, 3517, 3521, 3524, 3525, 3527, 3529, 3533, 3536, 3540, 3541, 3545, 3548, 3551, 3555, 3559, 3563, 3567, 3569, 3570, 3574, 3576, 3578, 3582, 3586, 3590, 3593, 3596, 3600, 3604, 3608, 3612, 3616, 3620, 3623, 3626, 3630, 3632, /* 901-1000 */ 3636, 3640, 3643, 3646, 3648, 3652, 3656, 3660, 3664, 3667, 3669, 3671, 3675, 3679, 3683, 3687, 3689, 3693, 3694, 3695, 3699, 3703, 3705, 3707, 3710, 3713, 3717, 3721, 3725, 3729, 3733, 3736, 3740, 3744, 3748, 3752, 3754, 3757, 3759, 3763, 3767, 3770, 3773, 3777, 3779, 3783, 3786, 3790, 3794, 3798, 3801, 3805, 3809, 3813, 3817, 3821, 3825, 3827, 3831, 3835, 3836, 3837, 3840, 3844, 3848, 3852, 3856, 3859, 3863, 3867, 3869, 3871, 3875, 3879, 3883, 3887, 3890, 3894, 3898, 3901, 3905, 3909, 3913, 3917, 3921, 3922, 3923, 3924, 3926, 3930, 3932, 3936, 3938, 3940, 3944, 3948, 3952, 3956, 3959, 3963, /* 1001-1100 */ 3965, 3969, 3973, 3977, 3979, 3981, 3982, 3986, 3989, 3993, 3997, 4001, 4004, 4006, 4009, 4012, 4016, 4020, 4024, 4026, 4028, 4032, 4036, 4040, 4044, 4046, 4050, 4054, 4058, 4060, 4062, 4063, 4064, 4068, 4071, 4075, 4077, 4081, 4083, 4087, 4089, 4091, 4095, 4099, 4101, 4103, 4105, 4107, 4111, 4115, 4119, 4123, 4127, 4129, 4131, 4135, 4139, 4141, 4143, 4145, 4149, 4153, 4157, 4161, 4165, 4169, 4173, 4177, 4180, 4183, 4187, 4191, 4195, 4198, 4201, 4205, 4209, 4212, 4213, 4216, 4217, 4221, 4223, 4226, 4230, 4234, 4236, 4240, 4244, 4248, 4252, 4256, 4258, 4262, 4264, 4266, 4268, 4270, 4272, 4276, /* 1101-1200 */ 4279, 4283, 4285, 4287, 4289, 4293, 4295, 4299, 4300, 4301, 4305, 4309, 4313, 4317, 4319, 4323, 4325, 4329, 4331, 4333, 4335, 4337, 4341, 4345, 4349, 4351, 4353, 4357, 4361, 4365, 4367, 4369, 4373, 4377, 4381, 4383, 4387, 4389, 4391, 4395, 4399, 4403, 4407, 4411, 4413, 4414, 4415, 4418, 4419, 4421, 4423, 4427, 4429, 4431, 4433, 4435, 4437, 4439, 4443, 4446, 4450, 4452, 4456, 4458, 4460, 4462, 4466, 4469, 4473, 4477, 4481, 4483, 4487, 4489, 4491, 4493, 4497, 4499, 4501, 4504, 4506, 4510, 4513, 4514, 4515, 4518, 4521, 4522, 4525, 4526, 4527, 4530, 4533, 4534, 4537, 4541, 4542, 4543, 4544, 4545, /* 1201-1300 */ 4546, 4547, 4550, 4553, 4554, 4555, 4558, 4561, 4564, 4567, 4568, 4571, 4574, 4575, 4578, 4581, 4582, 4585, 4586, 4588, 4590, 4592, 4596, 4598, 4602, 4604, 4608, 4612, 4613, 4616, 4619, 4622, 4623, 4624, 4625, 4626, 4629, 4632, 4633, 4636, 4639, 4640, 4641, 4642, 4643, 4644, 4645, 4648, 4649, 4650, 4651, 4652, 4653, 4656, 4657, 4660, 4661, 4664, 4667, 4670, 4671, 4674, 4675, 4676, 4677, 4678, 4681, 4682, 4683, 4684, 4687, 4688, 4689, 4692, 4693, 4696, 4697, 4700, 4701, 4702, 4703, 4704, 4707, 4708, 4711, 4712, 4715, 4716, 4717, 4718, 4719, 4720, 4721, 4722, 4723, 4726, 4729, 4730, 4733, 4736, /* 1301-(NFLS+NFPL) */ 4737, 4740, 4741, 4742, 4745, 4746, 4749, 4752, 4753 }; /* Amplitude coefficients (microarcsec); indexed using the nc array. */ final double a[] = { /* 1-105 */ -6844318.44, 9205236.26,1328.67,1538.18, 205833.11, 153041.79, -3309.73, 853.32,2037.98, -2301.27, 81.46, 120.56, -20.39, -15.22, 1.73, -1.61, -0.10, 0.11, -0.02, -0.02, -523908.04, 573033.42,-544.75,-458.66, 12814.01, 11714.49, 198.97,-290.91, 155.74,-143.27, -2.75, -1.03, -1.27, -1.16, 0.00, -0.01, -90552.22, 97846.69, 111.23, 137.41,2187.91,2024.68, 41.44, -51.26, 26.92, -24.46, -0.46, -0.28, -0.22, -0.20, 82168.76, -89618.24, -27.64, -29.05, -2004.36, -1837.32, -36.07, 48.00, -24.43, 22.41, 0.47, 0.24, 0.20, 0.18, 58707.02,7387.02, 470.05,-192.40, 164.33, -1312.21, -179.73, -28.93, -17.36, -1.83, -0.50, 3.57, 0.00, 0.13, -20557.78, 22438.42, -20.84, -17.40, 501.82, 459.68, 59.20, -67.30, 6.08, -5.61, -1.36, -1.19, 28288.28, -674.99, -34.69, 35.80, -15.07,-632.54, -11.19, 0.78, -8.41, 0.17, 0.01, 0.07, -15406.85, 20069.50, 15.12, /* 106-219 */ 31.80, 448.76, 344.50, -5.77, 1.41, 4.59, -5.02, 0.17, 0.24, -11991.74, 12902.66, 32.46, 36.70, 288.49, 268.14, 5.70, -7.06, 3.57, -3.23, -0.06, -0.04, -8584.95, -9592.72, 4.42, -13.20,-214.50, 192.06, 23.87, 29.83, 2.54, 2.40, 0.60, -0.48,5095.50, -6918.22, 7.19, 3.92,-154.91,-113.94, 2.86, -1.04, -1.52, 1.73, -0.07, -0.10, -4910.93, -5331.13, 0.76, 0.40,-119.21, 109.81, 2.16, 3.20, 1.46, 1.33, 0.04, -0.02, -6245.02,-123.48, -6.68, -8.20, -2.76, 139.64, 2.71, 0.15, 1.86,2511.85, -3323.89, 1.07, -0.90, -74.33, -56.17, 1.16, -0.01, -0.75, 0.83, -0.02, -0.04,2307.58,3143.98, -7.52, 7.50, 70.31, -51.60, 1.46, 0.16, -0.69, -0.79, 0.02, -0.05,2372.58,2554.51, 5.93, -6.60, 57.12, -53.05, -0.96, -1.24, -0.71, -0.64, -0.01, -2053.16,2636.13, 5.13, 7.80, 58.94, 45.91, -0.42, -0.12, 0.61, -0.66, 0.02, 0.03, -1825.49, /* 220-339 */ -2423.59, 1.23, -2.00, -54.19, 40.82, -1.07, -1.02, 0.54, 0.61, -0.04, 0.04,2521.07,-122.28, -5.97, 2.90, -2.73, -56.37, -0.82, 0.13, -0.75, -1534.09,1645.01, 6.29, 6.80, 36.78, 34.30, 0.92, -1.25, 0.46, -0.41, -0.02, -0.01,1898.27, 47.70, -0.72, 2.50, 1.07, -42.45, -0.94, 0.02, -0.56, -1292.02, -1387.00, 0.00, 0.00, -31.01, 28.89, 0.68, 0.00, 0.38, 0.35, -0.01, -0.01, -1234.96,1323.81, 5.21, 5.90, 29.60, 27.61, 0.74, -1.22, 0.37, -0.33, -0.02, -0.01,1137.48, -1233.89, -0.04, -0.30, -27.59, -25.43, -0.61, 1.00, -0.34, 0.31, 0.01, 0.01,-813.13, -1075.60, 0.40, 0.30, -24.05, 18.18, -0.40, -0.01, 0.24, 0.27, -0.01, 0.01,1163.22, -60.90, -2.94, 1.30, -1.36, -26.01, -0.58, 0.07, -0.35,1029.70, -55.55, -2.63, 1.10, -1.25, -23.02, -0.52, 0.06, -0.31,-556.26, 852.85, 3.16, -4.48, 19.06, 12.44, -0.81, -0.27, 0.17, -0.21, 0.00, 0.02,-603.52, /* 340-467 */ -800.34, 0.44, 0.10, -17.90, 13.49, -0.08, -0.01, 0.18, 0.20, -0.01, 0.01,-628.24, 684.99, -0.64, -0.50, 15.32, 14.05, 3.18, -4.19, 0.19, -0.17, -0.09, -0.07,-866.48, -16.26, 0.52, -1.30, -0.36, 19.37, 0.43, -0.01, 0.26, -512.37, 695.54, -1.47, -1.40, 15.55, 11.46, -0.16, 0.03, 0.15, -0.17, 0.01, 0.01, 506.65, 643.75, 2.54, -2.62, 14.40, -11.33, -0.77, -0.06, -0.15, -0.16, 0.00, 0.01, 664.57, 16.81, -0.40, 1.00, 0.38, -14.86, -3.71, -0.09, -0.20, 405.91, 522.11, 0.99, -1.50, 11.67, -9.08, -0.25, -0.02, -0.12, -0.13,-305.78, 326.60, 1.75, 1.90, 7.30, 6.84, 0.20, -0.04, 300.99,-325.03, -0.44, -0.50, -7.27, -6.73, -1.01, 0.01, 0.00, 0.08, 0.00, 0.02, 438.51, 10.47, -0.56, -0.20, 0.24, -9.81, -0.24, 0.01, -0.13, -264.02, 335.24, 0.99, 1.40, 7.49, 5.90, -0.27, -0.02, 284.09, 307.03, 0.32, -0.40, 6.87, -6.35, -0.99, -0.01, -250.54, 327.11, 0.08, 0.40, 7.31, 5.60, -0.30, 230.72, /* 468-595 */ -304.46, 0.08, -0.10, -6.81, -5.16, 0.27, 229.78, 304.17, -0.60, 0.50, 6.80, -5.14, 0.33, 0.01, 256.30,-276.81, -0.28, -0.40, -6.19, -5.73, -0.14, 0.01,-212.82, 269.45, 0.84, 1.20, 6.02, 4.76, 0.14, -0.02, 196.64, 272.05, -0.84, 0.90, 6.08, -4.40, 0.35, 0.02, 188.95, 272.22, -0.12, 0.30, 6.09, -4.22, 0.34,-292.37, -5.10, -0.32, -0.40, -0.11, 6.54, 0.14, 0.01, 161.79,-220.67, 0.24, 0.10, -4.93, -3.62, -0.08, 261.54, -19.94, -0.95, 0.20, -0.45, -5.85, -0.13, 0.02, 142.16,-190.79, 0.20, 0.10, -4.27, -3.18, -0.07, 187.95, -4.11, -0.24, 0.30, -0.09, -4.20, -0.09, 0.01, 0.00, 0.00, -79.08, 167.90, 0.04, 0.00, 3.75, 1.77, 121.98, 131.04, -0.08, 0.10, 2.93, -2.73, -0.06,-172.95, -8.11, -0.40, -0.20, -0.18, 3.87, 0.09, 0.01,-160.15, -55.30, -14.04, 13.90, -1.23, 3.58, 0.40, 0.31,-115.40, 123.20, 0.60, 0.70, 2.75, 2.58, 0.08, -0.01,-168.26, -2.00, 0.20, -0.20, -0.04, 3.76, /* 596-723 */ 0.08,-114.49, 123.20, 0.32, 0.40, 2.75, 2.56, 0.07, -0.01, 112.14, 120.70, 0.28, -0.30, 2.70, -2.51, -0.07, -0.01, 161.34, 4.03, 0.20, 0.20, 0.09, -3.61, -0.08, 91.31, 126.64, -0.40, 0.40, 2.83, -2.04, -0.04, 0.01, 105.29, 112.90, 0.44, -0.50, 2.52, -2.35, -0.07, -0.01, 98.69,-106.20, -0.28, -0.30, -2.37, -2.21, -0.06, 0.01, 86.74,-112.94, -0.08, -0.20, -2.53, -1.94, -0.05,-134.81, 3.51, 0.20, -0.20, 0.08, 3.01, 0.07, 79.03, 107.31, -0.24, 0.20, 2.40, -1.77, -0.04, 0.01, 132.81, -10.77, -0.52, 0.10, -0.24, -2.97, -0.07, 0.01,-130.31, -0.90, 0.04, 0.00, 0.00, 2.91, -78.56, 85.32, 0.00, 0.00, 1.91, 1.76, 0.04, 0.00, 0.00, -41.53, 89.10, 0.02, 0.00, 1.99, 0.93, 66.03, -71.00, -0.20, -0.20, -1.59, -1.48, -0.04, 60.50, 64.70, 0.36, -0.40, 1.45, -1.35, -0.04, -0.01, -52.27, -70.01, 0.00, 0.00, -1.57, 1.17, 0.03, -52.95, 66.29, 0.32, 0.40, 1.48, 1.18, 0.04, /* 724-851 */ -0.01, 51.02, 67.25, 0.00, 0.00, 1.50, -1.14, -0.03, -55.66, -60.92, 0.16, -0.20, -1.36, 1.24, 0.03, -54.81, -59.20, -0.08, 0.20, -1.32, 1.23, 0.03, 51.32, -55.60, 0.00, 0.00, -1.24, -1.15, -0.03, 48.29, 51.80, 0.20, -0.20, 1.16, -1.08, -0.03, -45.59, -49.00, -0.12, 0.10, -1.10, 1.02, 0.03, 40.54, -52.69, -0.04, -0.10, -1.18, -0.91, -0.02, -40.58, -49.51, -1.00, 1.00, -1.11, 0.91, 0.04, 0.02, -43.76, 46.50, 0.36, 0.40, 1.04, 0.98, 0.03, -0.01, 62.65, -5.00, -0.24, 0.00, -0.11, -1.40, -0.03, 0.01, -38.57, 49.59, 0.08, 0.10, 1.11, 0.86, 0.02, -33.22, -44.04, 0.08, -0.10, -0.98, 0.74, 0.02, 37.15, -39.90, -0.12, -0.10, -0.89, -0.83, -0.02, 36.68, -39.50, -0.04, -0.10, -0.88, -0.82, -0.02, -53.22, -3.91, -0.20, 0.00, -0.09, 1.19, 0.03, 32.43, -42.19, -0.04, -0.10, -0.94, -0.73, -0.02, -51.00, -2.30, -0.12, -0.10, 0.00, 1.14, -29.53, -39.11, 0.04, 0.00, -0.87, 0.66, /* 852-979 */ 0.02, 28.50, -38.92, -0.08, -0.10, -0.87, -0.64, -0.02, 26.54, 36.95, -0.12, 0.10, 0.83, -0.59, -0.01, 26.54, 34.59, 0.04, -0.10, 0.77, -0.59, -0.02, 28.35, -32.55, -0.16, 0.20, -0.73, -0.63, -0.01, -28.00, 30.40, 0.00, 0.00, 0.68, 0.63, 0.01, -27.61, 29.40, 0.20, 0.20, 0.66, 0.62, 0.02, 40.33, 0.40, -0.04, 0.10, 0.00, -0.90, -23.28, 31.61, -0.08, -0.10, 0.71, 0.52, 0.01, 37.75, 0.80, 0.04, 0.10, 0.00, -0.84, 23.66, 25.80, 0.00, 0.00, 0.58, -0.53, -0.01, 21.01, -27.91, 0.00, 0.00, -0.62, -0.47, -0.01, -34.81, 2.89, 0.04, 0.00, 0.00, 0.78, -23.49, -25.31, 0.00, 0.00, -0.57, 0.53, 0.01, -23.47, 25.20, 0.16, 0.20, 0.56, 0.52, 0.02, 19.58, 27.50, -0.12, 0.10, 0.62, -0.44, -0.01, -22.67, -24.40, -0.08, 0.10, -0.55, 0.51, 0.01, -19.97, 25.00, 0.12, 0.20, 0.56, 0.45, 0.01, 21.28, -22.80, -0.08, -0.10, -0.51, -0.48, -0.01, -30.47, 0.91, 0.04, 0.00, /* 980-1107 */ 0.00, 0.68, 18.58, 24.00, 0.04, -0.10, 0.54, -0.42, -0.01, -18.02, 24.40, -0.04, -0.10, 0.55, 0.40, 0.01, 17.74, 22.50, 0.08, -0.10, 0.50, -0.40, -0.01, -19.41, 20.70, 0.08, 0.10, 0.46, 0.43, 0.01, -18.64, 20.11, 0.00, 0.00, 0.45, 0.42, 0.01, -16.75, 21.60, 0.04, 0.10, 0.48, 0.37, 0.01, -18.42, -20.00, 0.00, 0.00, -0.45, 0.41, 0.01, -26.77, 1.41, 0.08, 0.00, 0.00, 0.60, -26.17, -0.19, 0.00, 0.00, 0.00, 0.59, -15.52, 20.51, 0.00, 0.00, 0.46, 0.35, 0.01, -25.42, -1.91, -0.08, 0.00, -0.04, 0.57, 0.45, -17.42, 18.10, 0.00, 0.00, 0.40, 0.39, 0.01, 16.39, -17.60, -0.08, -0.10, -0.39, -0.37, -0.01, -14.37, 18.91, 0.00, 0.00, 0.42, 0.32, 0.01, 23.39, -2.40, -0.12, 0.00, 0.00, -0.52, 14.32, -18.50, -0.04, -0.10, -0.41, -0.32, -0.01, 15.69, 17.08, 0.00, 0.00, 0.38, -0.35, -0.01, -22.99, 0.50, 0.04, 0.00, 0.00, 0.51, 0.00, 0.00, 14.47, -17.60, /* 1108-1235 */ -0.01, 0.00, -0.39, -0.32, -13.33, 18.40, -0.04, -0.10, 0.41, 0.30, 22.47, -0.60, -0.04, 0.00, 0.00, -0.50, -12.78, -17.41, 0.04, 0.00, -0.39, 0.29, 0.01, -14.10, -15.31, 0.04, 0.00, -0.34, 0.32, 0.01, 11.98, 16.21, -0.04, 0.00, 0.36, -0.27, -0.01, 19.65, -1.90, -0.08, 0.00, 0.00, -0.44, 19.61, -1.50, -0.08, 0.00, 0.00, -0.44, 13.41, -14.30, -0.04, -0.10, -0.32, -0.30, -0.01, -13.29, 14.40, 0.00, 0.00, 0.32, 0.30, 0.01, 11.14, -14.40, -0.04, 0.00, -0.32, -0.25, -0.01, 12.24, -13.38, 0.04, 0.00, -0.30, -0.27, -0.01, 10.07, -13.81, 0.04, 0.00, -0.31, -0.23, -0.01, 10.46, 13.10, 0.08, -0.10, 0.29, -0.23, -0.01, 16.55, -1.71, -0.08, 0.00, 0.00, -0.37, 9.75, -12.80, 0.00, 0.00, -0.29, -0.22, -0.01, 9.11, 12.80, 0.00, 0.00, 0.29, -0.20, 0.00, 0.00, -6.44, -13.80, 0.00, 0.00, -0.31, 0.14, -9.19, -12.00, 0.00, 0.00, -0.27, 0.21, -10.30, 10.90, 0.08, 0.10, /* 1236-1363 */ 0.24, 0.23, 0.01, 14.92, -0.80, -0.04, 0.00, 0.00, -0.33, 10.02, -10.80, 0.00, 0.00, -0.24, -0.22, -0.01, -9.75, 10.40, 0.04, 0.00, 0.23, 0.22, 0.01, 9.67, -10.40, -0.04, 0.00, -0.23, -0.22, -0.01, -8.28, -11.20, 0.04, 0.00, -0.25, 0.19, 13.32, -1.41, -0.08, 0.00, 0.00, -0.30, 8.27, 10.50, 0.04, 0.00, 0.23, -0.19, 0.00, 0.00, 13.13, 0.00, 0.00, 0.00, 0.00, -0.29, -12.93, 0.70, 0.04, 0.00, 0.00, 0.29, 7.91, -10.20, 0.00, 0.00, -0.23, -0.18, -7.84, -10.00, -0.04, 0.00, -0.22, 0.18, 7.44, 9.60, 0.00, 0.00, 0.21, -0.17, -7.64, 9.40, 0.08, 0.10, 0.21, 0.17, 0.01, -11.38, 0.60, 0.04, 0.00, 0.00, 0.25, -7.48, 8.30, 0.00, 0.00, 0.19, 0.17, -10.98, -0.20, 0.00, 0.00, 0.00, 0.25, 10.98, 0.20, 0.00, 0.00, 0.00, -0.25, 7.40, -7.90, -0.04, 0.00, -0.18, -0.17, -6.09, 8.40, -0.04, 0.00, 0.19, 0.14, -6.94, -7.49, 0.00, 0.00, -0.17, /* 1364-1491 */ 0.16, 6.92, 7.50, 0.04, 0.00, 0.17, -0.15, 6.20, 8.09, 0.00, 0.00, 0.18, -0.14, -6.12, 7.80, 0.04, 0.00, 0.17, 0.14, 5.85, -7.50, 0.00, 0.00, -0.17, -0.13, -6.48, 6.90, 0.08, 0.10, 0.15, 0.14, 0.01, 6.32, 6.90, 0.00, 0.00, 0.15, -0.14, 5.61, -7.20, 0.00, 0.00, -0.16, -0.13, 9.07, 0.00, 0.00, 0.00, 0.00, -0.20, 5.25, 6.90, 0.00, 0.00, 0.15, -0.12, -8.47, -0.40, 0.00, 0.00, 0.00, 0.19, 6.32, -5.39, -1.11, 1.10, -0.12, -0.14, 0.02, 0.02, 5.73, -6.10, -0.04, 0.00, -0.14, -0.13, 4.70, 6.60, -0.04, 0.00, 0.15, -0.11, -4.90, -6.40, 0.00, 0.00, -0.14, 0.11, -5.33, 5.60, 0.04, 0.10, 0.13, 0.12, 0.01, -4.81, 6.00, 0.04, 0.00, 0.13, 0.11, 5.13, 5.50, 0.04, 0.00, 0.12, -0.11, 4.50, 5.90, 0.00, 0.00, 0.13, -0.10, -4.22, 6.10, 0.00, 0.00, 0.14, -4.53, 5.70, 0.00, 0.00, 0.13, 0.10, 4.18, 5.70, 0.00, 0.00, /* 1492-1619 */ 0.13, -4.75, -5.19, 0.00, 0.00, -0.12, 0.11, -4.06, 5.60, 0.00, 0.00, 0.13, -3.98, 5.60, -0.04, 0.00, 0.13, 4.02, -5.40, 0.00, 0.00, -0.12, 4.49, -4.90, -0.04, 0.00, -0.11, -0.10, -3.62, -5.40, -0.16, 0.20, -0.12, 0.00, 0.01, 4.38, 4.80, 0.00, 0.00, 0.11, -6.40, -0.10, 0.00, 0.00, 0.00, 0.14, -3.98, 5.00, 0.04, 0.00, 0.11, -3.82, -5.00, 0.00, 0.00, -0.11, -3.71, 5.07, 0.00, 0.00, 0.11, 4.14, 4.40, 0.00, 0.00, 0.10, -6.01, -0.50, -0.04, 0.00, 0.00, 0.13, -4.04, 4.39, 0.00, 0.00, 0.10, 3.45, -4.72, 0.00, 0.00, -0.11, 3.31, 4.71, 0.00, 0.00, 0.11, 3.26, -4.50, 0.00, 0.00, -0.10, -3.26, -4.50, 0.00, 0.00, -0.10, -3.34, -4.40, 0.00, 0.00, -0.10, -3.74, -4.00, 3.70, 4.00, 3.34, -4.30, 3.30, -4.30, -3.66, 3.90, 0.04, 3.66, 3.90, 0.04, -3.62, -3.90, -3.61, 3.90, -0.20, 5.30, 0.00, 0.00, 0.12, 3.06, 4.30, 3.30, /* 1620-1747 */ 4.00, 0.40, 0.20, 3.10, 4.10, -3.06, 3.90, -3.30, -3.60, -3.30, 3.36, 0.01, 3.14, 3.40, -4.57, -0.20, 0.00, 0.00, 0.00, 0.10, -2.70, -3.60, 2.94, -3.20, -2.90, 3.20, 2.47, -3.40, 2.55, -3.30, 2.80, -3.08, 2.51, 3.30, -4.10, 0.30, -0.12, -0.10, 4.10, 0.20, -2.74, 3.00, 2.46, 3.23, -3.66, 1.20, -0.20, 0.20, 3.74, -0.40, -2.51, -2.80, -3.74, 2.27, -2.90, 0.00, 0.00, -2.50, 2.70, -2.51, 2.60, -3.50, 0.20, 3.38, -2.22, -2.50, 3.26, -0.40, 1.95, -2.60, 3.22, -0.40, -0.04, -1.79, -2.60, 1.91, 2.50, 0.74, 3.05, -0.04, 0.08, 2.11, -2.30, -2.11, 2.20, -1.87, -2.40, 2.03, -2.20, -2.03, 2.20, 2.98, 0.00, 0.00, 2.98, -1.71, 2.40, 2.94, -0.10, -0.12, 0.10, 1.67, 2.40, -1.79, 2.30, -1.79, 2.20, -1.67, 2.20, 1.79, -2.00, 1.87, -1.90, 1.63, -2.10, -1.59, 2.10, 1.55, -2.10, -1.55, 2.10, -2.59, -0.20, -1.75, -1.90, -1.75, 1.90, -1.83, /* 1748-1875 */ -1.80, 1.51, 2.00, -1.51, -2.00, 1.71, 1.80, 1.31, 2.10, -1.43, 2.00, 1.43, 2.00, -2.43, -1.51, 1.90, -1.47, 1.90, 2.39, 0.20, -2.39, 1.39, 1.90, 1.39, -1.80, 1.47, -1.60, 1.47, -1.60, 1.43, -1.50, -1.31, 1.60, 1.27, -1.60, -1.27, 1.60, 1.27, -1.60, 2.03, 1.35, 1.50, -1.39, -1.40, 1.95, -0.20, -1.27, 1.49, 1.19, 1.50, 1.27, 1.40, 1.15, 1.50, 1.87, -0.10, -1.12, -1.50, 1.87, -1.11, -1.50, -1.11, -1.50, 0.00, 0.00, 1.19, 1.40, 1.27, -1.30, -1.27, -1.30, -1.15, 1.40, -1.23, 1.30, -1.23, -1.30, 1.22, -1.29, 1.07, -1.40, 1.75, -0.20, -1.03, -1.40, -1.07, 1.20, -1.03, 1.15, 1.07, 1.10, 1.51, -1.03, 1.10, 1.03, -1.10, 0.00, 0.00, -1.03, -1.10, 0.91, -1.20, -0.88, -1.20, -0.88, 1.20, -0.95, 1.10, -0.95, -1.10, 1.43, -1.39, 0.95, -1.00, -0.95, 1.00, -0.80, 1.10, 0.91, -1.00, -1.35, 0.88, 1.00, -0.83, 1.00, -0.91, 0.90, 0.91, /* 1876-2003 */ 0.90, 0.88, -0.90, -0.76, -1.00, -0.76, 1.00, 0.76, 1.00, -0.72, 1.00, 0.84, -0.90, 0.84, 0.90, 1.23, 0.00, 0.00, -0.52, -1.10, -0.68, 1.00, 1.19, -0.20, 1.19, 0.76, 0.90, 1.15, -0.10, 1.15, -0.10, 0.72, -0.90, -1.15, -1.15, 0.68, 0.90, -0.68, 0.90, -1.11, 0.00, 0.00, 0.20, 0.79, 0.80, -1.11, -0.10, 0.00, 0.00, -0.48, -1.00, -0.76, -0.80, -0.72, -0.80, -1.07, -0.10, 0.64, 0.80, -0.64, -0.80, 0.64, 0.80, 0.40, 0.60, 0.52, -0.50, -0.60, -0.80, -0.71, 0.70, -0.99, 0.99, 0.56, 0.80, -0.56, 0.80, 0.68, -0.70, 0.68, 0.70, -0.95, -0.64, 0.70, 0.64, 0.70, -0.60, 0.70, -0.60, -0.70, -0.91, -0.10, -0.51, 0.76, -0.91, -0.56, 0.70, 0.88, 0.88, -0.63, -0.60, 0.55, -0.60, -0.80, 0.80, -0.80, -0.52, 0.60, 0.52, 0.60, 0.52, -0.60, -0.48, 0.60, 0.48, 0.60, 0.48, 0.60, -0.76, 0.44, -0.60, 0.52, -0.50, -0.52, 0.50, 0.40, 0.60, -0.40, /* 2004-2131 */ -0.60, 0.40, -0.60, 0.72, -0.72, -0.51, -0.50, -0.48, 0.50, 0.48, -0.50, -0.48, 0.50, -0.48, 0.50, 0.48, -0.50, -0.48, -0.50, -0.68, -0.68, 0.44, 0.50, -0.64, -0.10, -0.64, -0.10, -0.40, 0.50, 0.40, 0.50, 0.40, 0.50, 0.00, 0.00, -0.40, -0.50, -0.36, -0.50, 0.36, -0.50, 0.60, -0.60, 0.40, -0.40, 0.40, 0.40, -0.40, 0.40, -0.40, 0.40, -0.56, -0.56, 0.36, -0.40, -0.36, 0.40, 0.36, -0.40, -0.36, -0.40, 0.36, 0.40, 0.36, 0.40, -0.52, 0.52, 0.52, 0.32, 0.40, -0.32, 0.40, -0.32, 0.40, -0.32, 0.40, 0.32, -0.40, -0.32, -0.40, 0.32, -0.40, 0.28, -0.40, -0.28, 0.40, 0.28, -0.40, 0.28, 0.40, 0.48, -0.48, 0.48, 0.36, -0.30, -0.36, -0.30, 0.00, 0.00, 0.20, 0.40, -0.44, 0.44, -0.44, -0.44, -0.44, -0.44, 0.32, -0.30, 0.32, 0.30, 0.24, 0.30, -0.12, -0.10, -0.28, 0.30, 0.28, 0.30, 0.28, 0.30, 0.28, -0.30, 0.28, -0.30, 0.28, -0.30, 0.28, /* 2132-2259 */ 0.30, -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.24, -0.30, 0.24, -0.30, -0.24, -0.30, 0.24, 0.30, 0.24, -0.30, -0.24, 0.30, 0.24, -0.30, -0.24, -0.30, 0.24, -0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, 0.20, -0.30, 0.20, -0.30, 0.20, -0.30, 0.20, 0.30, 0.20, -0.30, 0.20, -0.30, 0.20, 0.30, 0.20, 0.30, -0.20, -0.30, 0.20, -0.30, 0.20, -0.30, -0.36, -0.36, -0.36, -0.04, 0.30, 0.12, -0.10, -0.32, -0.24, 0.20, 0.24, 0.20, 0.20, -0.20, -0.20, -0.20, -0.20, -0.20, 0.20, 0.20, 0.20, -0.20, 0.20, 0.20, 0.20, 0.20, -0.20, -0.20, 0.00, 0.00, -0.20, -0.20, -0.20, 0.20, -0.20, 0.20, 0.20, -0.20, -0.20, -0.20, 0.20, 0.20, 0.20, 0.20, 0.20, -0.20, 0.20, -0.20, 0.28, 0.28, 0.28, 0.28, 0.28, 0.28, -0.28, 0.28, 0.12, 0.00, 0.24, 0.16, -0.20, 0.16, -0.20, 0.16, -0.20, 0.16, 0.20, -0.16, 0.20, 0.16, 0.20, -0.16, 0.20, -0.16, 0.20, /* 2260-2387 */ -0.16, 0.20, 0.16, -0.20, 0.16, 0.20, 0.16, -0.20, -0.16, 0.20, -0.16, -0.20, -0.16, 0.20, 0.16, 0.20, 0.16, -0.20, 0.16, -0.20, 0.16, 0.20, 0.16, 0.20, 0.16, 0.20, -0.16, -0.20, 0.16, 0.20, -0.16, 0.20, 0.16, 0.20, -0.16, -0.20, 0.16, -0.20, 0.16, -0.20, -0.16, -0.20, 0.24, -0.24, -0.24, 0.24, 0.24, 0.12, 0.20, 0.12, 0.20, -0.12, -0.20, 0.12, -0.20, 0.12, -0.20, -0.12, 0.20, -0.12, 0.20, -0.12, -0.20, 0.12, 0.20, 0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12, 0.20, 0.00, 0.00, -0.12, 0.20, -0.12, 0.20, 0.12, -0.20, -0.12, 0.20, 0.12, 0.20, 0.00, -0.21, -0.20, 0.00, 0.00, 0.20, -0.20, -0.20, -0.20, 0.20, -0.16, -0.10, 0.00, 0.17, 0.16, 0.16, 0.16, 0.16, -0.16, 0.16, 0.16, -0.16, 0.16, -0.16, 0.16, 0.12, 0.10, 0.12, -0.10, -0.12, 0.10, -0.12, 0.10, 0.12, -0.10, -0.12, 0.12, -0.12, 0.12, /* 2388-2515 */ -0.12, 0.12, -0.12, -0.12, -0.12, -0.12, -0.12, -0.12, -0.12, 0.12, 0.12, 0.12, 0.12, -0.12, -0.12, 0.12, 0.12, 0.12, -0.12, 0.12, -0.12, -0.12, -0.12, 0.12, -0.12, -0.12, 0.12, 0.00, 0.11, 0.11,-122.67, 164.70, 203.78, 273.50, 3.58, 2.74, 6.18, -4.56, 0.00, -0.04, 0.00, -0.07, 57.44, -77.10, 95.82, 128.60, -1.77, -1.28, 2.85, -2.14, 82.14, 89.50, 0.00, 0.00, 2.00, -1.84, -0.04, 47.73, -64.10, 23.79, 31.90, -1.45, -1.07, 0.69, -0.53, -46.38, 50.50, 0.00, 0.00, 1.13, 1.04, 0.02, -18.38, 0.00, 63.80, 0.00, 0.00, 0.41, 0.00, -1.43, 59.07, 0.00, 0.00, 0.00, 0.00, -1.32, 57.28, 0.00, 0.00, 0.00, 0.00, -1.28, -48.65, 0.00, -1.15, 0.00, 0.00, 1.09, 0.00, 0.03, -18.30, 24.60, -17.30, -23.20, 0.56, 0.41, -0.51, 0.39, -16.91, 26.90, 8.43, 13.30, 0.60, 0.38, 0.31, -0.19, 1.23, -1.70, -19.13, -25.70, -0.03, -0.03, -0.58, 0.43, -0.72, 0.90, -17.34, -23.30, /* 2516-2643 */ 0.03, 0.02, -0.52, 0.39, -19.49, -21.30, 0.00, 0.00, -0.48, 0.44, 0.01, 20.57, -20.10, 0.64, 0.70, -0.45, -0.46, 0.00, -0.01, 4.89, 5.90, -16.55, 19.90, 0.14, -0.11, 0.44, 0.37, 18.22, 19.80, 0.00, 0.00, 0.44, -0.41, -0.01, 4.89, -5.30, -16.51, -18.00, -0.11, -0.11, -0.41, 0.37, -17.86, 0.00, 17.10, 0.00, 0.00, 0.40, 0.00, -0.38, 0.32, 0.00, 24.42, 0.00, 0.00, -0.01, 0.00, -0.55, -23.79, 0.00, 0.00, 0.00, 0.00, 0.53, 14.72, -16.00, -0.32, 0.00, -0.36, -0.33, -0.01, 0.01, 3.34, -4.50, 11.86, 15.90, -0.11, -0.07, 0.35, -0.27, -3.26, 4.40, 11.62, 15.60, 0.09, 0.07, 0.35, -0.26, -19.53, 0.00, 5.09, 0.00, 0.00, 0.44, 0.00, -0.11, -13.48, 14.70, 0.00, 0.00, 0.33, 0.30, 0.01, 10.86, -14.60, 3.18, 4.30, -0.33, -0.24, 0.09, -0.07, -11.30, -15.10, 0.00, 0.00, -0.34, 0.25, 0.01, 2.03, -2.70, 10.82, 14.50, -0.07, -0.05, 0.32, -0.24, 17.46, 0.00, /* 2644-2771 */ 0.00, 0.00, 0.00, -0.39, 16.43, 0.00, 0.52, 0.00, 0.00, -0.37, 0.00, -0.01, 9.35, 0.00, 13.29, 0.00, 0.00, -0.21, 0.00, -0.30, -10.42, 11.40, 0.00, 0.00, 0.25, 0.23, 0.01, 0.44, 0.50, -10.38, 11.30, 0.02, -0.01, 0.25, 0.23, -14.64, 0.00, 0.00, 0.00, 0.00, 0.33, 0.56, 0.80, -8.67, 11.70, 0.02, -0.01, 0.26, 0.19, 13.88, 0.00, -2.47, 0.00, 0.00, -0.31, 0.00, 0.06, -1.99, 2.70, 7.72, 10.30, 0.06, 0.04, 0.23, -0.17, -0.20, 0.00, 13.05, 0.00, 0.00, 0.00, 0.00, -0.29, 6.92, -9.30, 3.34, 4.50, -0.21, -0.15, 0.10, -0.07, -6.60, 0.00, 10.70, 0.00, 0.00, 0.15, 0.00, -0.24, -8.04, -8.70, 0.00, 0.00, -0.19, 0.18, -10.58, 0.00, -3.10, 0.00, 0.00, 0.24, 0.00, 0.07, -7.32, 8.00, -0.12, -0.10, 0.18, 0.16, 1.63, 1.70, 6.96, -7.60, 0.03, -0.04, -0.17, -0.16, -3.62, 0.00, 9.86, 0.00, 0.00, 0.08, 0.00, -0.22, 0.20, -0.20, -6.88, /* 2772-2899 */ -7.50, 0.00, 0.00, -0.17, 0.15, -8.99, 0.00, 4.02, 0.00, 0.00, 0.20, 0.00, -0.09, -1.07, 1.40, -5.69, -7.70, 0.03, 0.02, -0.17, 0.13, 6.48, -7.20, -0.48, -0.50, -0.16, -0.14, -0.01, 0.01, 5.57, -7.50, 1.07, 1.40, -0.17, -0.12, 0.03, -0.02, 8.71, 0.00, 3.54, 0.00, 0.00, -0.19, 0.00, -0.08, 0.40, 0.00, 9.27, 0.00, 0.00, -0.01, 0.00, -0.21, -6.13, 6.70, -1.19, -1.30, 0.15, 0.14, -0.03, 0.03, 5.21, -5.70, -2.51, -2.60, -0.13, -0.12, -0.06, 0.06, 5.69, -6.20, -0.12, -0.10, -0.14, -0.13, -0.01, 2.03, -2.70, 4.53, 6.10, -0.06, -0.05, 0.14, -0.10, 5.01, 5.50, -2.51, 2.70, 0.12, -0.11, 0.06, 0.06, -1.91, 2.60, -4.38, -5.90, 0.06, 0.04, -0.13, 0.10, 4.65, -6.30, 0.00, 0.00, -0.14, -0.10, -5.29, 5.70, 0.00, 0.00, 0.13, 0.12, -2.23, -4.00, -4.65, 4.20, -0.09, 0.05, 0.10, 0.10, -4.53, 6.10, 0.00, 0.00, 0.14, 0.10, 2.47, 2.70, /* 2900-3027 */ -4.46, 4.90, 0.06, -0.06, 0.11, 0.10, -5.05, 5.50, 0.84, 0.90, 0.12, 0.11, 0.02, -0.02, 4.97, -5.40, -1.71, 0.00, -0.12, -0.11, 0.00, 0.04, -0.99, -1.30, 4.22, -5.70, -0.03, 0.02, -0.13, -0.09, 0.99, 1.40, 4.22, -5.60, 0.03, -0.02, -0.13, -0.09, -4.69, -5.20, 0.00, 0.00, -0.12, 0.10, -3.42, 0.00, 6.09, 0.00, 0.00, 0.08, 0.00, -0.14, -4.65, -5.10, 0.00, 0.00, -0.11, 0.10, 0.00, 0.00, -4.53, -5.00, 0.00, 0.00, -0.11, 0.10, -2.43, -2.70, -3.82, 4.20, -0.06, 0.05, 0.10, 0.09, 0.00, 0.00, -4.53, 4.90, 0.00, 0.00, 0.11, 0.10, -4.49, -4.90, 0.00, 0.00, -0.11, 0.10, 2.67, -2.90, -3.62, -3.90, -0.06, -0.06, -0.09, 0.08, 3.94, -5.30, 0.00, 0.00, -0.12, -3.38, 3.70, -2.78, -3.10, 0.08, 0.08, -0.07, 0.06, 3.18, -3.50, -2.82, -3.10, -0.08, -0.07, -0.07, 0.06, -5.77, 0.00, 1.87, 0.00, 0.00, 0.13, 0.00, -0.04, 3.54, -4.80, -0.64, /* 3028-3155 */ -0.90, -0.11, 0.00, -0.02, -3.50, -4.70, 0.68, -0.90, -0.11, 0.00, -0.02, 5.49, 0.00, 0.00, 0.00, 0.00, -0.12, 1.83, -2.50, 2.63, 3.50, -0.06, 0.00, 0.08, 3.02, -4.10, 0.68, 0.90, -0.09, 0.00, 0.02, 0.00, 0.00, 5.21, 0.00, 0.00, 0.00, 0.00, -0.12, -3.54, 3.80, 2.70, 3.60, -1.35, 1.80, 0.08, 0.00, 0.04, -2.90, 3.90, 0.68, 0.90, 0.09, 0.00, 0.02, 0.80, -1.10, -2.78, -3.70, -0.02, 0.00, -0.08, 4.10, 0.00, -2.39, 0.00, 0.00, -0.09, 0.00, 0.05, -1.59, 2.10, 2.27, 3.00, 0.05, 0.00, 0.07, -2.63, 3.50, -0.48, -0.60, -2.94, -3.20, -2.94, 3.20, 2.27, -3.00, -1.11, -1.50, -0.07, 0.00, -0.03, -0.56, -0.80, -2.35, 3.10, 0.00, -0.60, -3.42, 1.90, -0.12, -0.10, 2.63, -2.90, 2.51, 2.80, -0.64, 0.70, -0.48, -0.60, 2.19, -2.90, 0.24, -0.30, 2.15, 2.90, 2.15, -2.90, 0.52, 0.70, 2.07, -2.80, -3.10, 0.00, 1.79, 0.00, 0.00, 0.07, /* 3156-3283 */ 0.00, -0.04, 0.88, 0.00, -3.46, 2.11, 2.80, -0.36, 0.50, 3.54, -0.20, -3.50, -1.39, 1.50, -1.91, -2.10, -1.47, 2.00, 1.39, 1.90, 2.07, -2.30, 0.91, 1.00, 1.99, -2.70, 3.30, 0.00, 0.60, -0.44, -0.70, -1.95, 2.60, 2.15, -2.40, -0.60, -0.70, 3.30, 0.84, 0.00, -3.10, -3.10, 0.00, -0.72, -0.32, 0.40, -1.87, -2.50, 1.87, -2.50, 0.32, 0.40, -0.24, 0.30, -1.87, -2.50, -0.24, -0.30, 1.87, -2.50, -2.70, 0.00, 1.55, 2.03, 2.20, -2.98, -1.99, -2.20, 0.12, -0.10, -0.40, 0.50, 1.59, 2.10, 0.00, 0.00, -1.79, 2.00, -1.03, 1.40, -1.15, -1.60, 0.32, 0.50, 1.39, -1.90, 2.35, -1.27, 1.70, 0.60, 0.80, -0.32, -0.40, 1.35, -1.80, 0.44, 0.00, 2.23, -0.84, 0.90, -1.27, -1.40, -1.47, 1.60, -0.28, -0.30, -0.28, 0.40, -1.27, -1.70, 0.28, -0.40, -1.43, -1.50, 0.00, 0.00, -1.27, -1.70, 2.11, -0.32, -0.40, -1.23, 1.60, 1.19, -1.30, -0.72, -0.80, 0.72, /* 3284-3411 */ -0.80, -1.15, -1.30, -1.35, -1.50, -1.19, -1.60, -0.12, 0.20, 1.79, 0.00, -0.88, -0.28, 0.40, 1.11, 1.50, -1.83, 0.00, 0.56, -0.12, 0.10, -1.27, -1.40, 0.00, 0.00, 1.15, 1.50, -0.12, 0.20, 1.11, 1.50, 0.36, -0.50, -1.07, -1.40, -1.11, 1.50, 1.67, 0.00, 0.80, -1.11, 0.00, 1.43, 1.23, -1.30, -0.24, -1.19, -1.30, -0.24, 0.20, -0.44, -0.90, -0.95, 1.10, 1.07, -1.40, 1.15, -1.30, 1.03, -1.10, -0.56, -0.60, -0.68, 0.90, -0.76, -1.00, -0.24, -0.30, 0.95, -1.30, 0.56, 0.70, 0.84, -1.10, -0.56, 0.00, -1.55, 0.91, -1.30, 0.28, 0.30, 0.16, -0.20, 0.95, 1.30, 0.40, -0.50, -0.88, -1.20, 0.95, -1.10, -0.48, -0.50, 0.00, 0.00, -1.07, 1.20, 0.44, -0.50, 0.95, 1.10, 0.00, 0.00, 0.92, -1.30, 0.95, 1.00, -0.52, 0.60, 1.59, 0.24, -0.40, 0.91, 1.20, 0.84, -1.10, -0.44, -0.60, 0.84, 1.10, -0.44, 0.60, -0.44, 0.60, -0.84, -1.10, -0.80, 0.00, /* 3412-3539 */ 1.35, 0.76, 0.20, -0.91, -1.00, 0.20, -0.30, -0.91, -1.20, -0.95, 1.00, -0.48, -0.50, 0.88, 1.00, 0.48, -0.50, -0.95, -1.10, 0.20, -0.20, -0.99, 1.10, -0.84, 1.10, -0.24, -0.30, 0.20, -0.30, 0.84, 1.10, -1.39, 0.00, -0.28, -0.16, 0.20, 0.84, 1.10, 0.00, 0.00, 1.39, 0.00, 0.00, -0.95, 1.00, 1.35, -0.99, 0.00, 0.88, -0.52, 0.00, -1.19, 0.20, 0.20, 0.76, -1.00, 0.00, 0.00, 0.76, 1.00, 0.00, 0.00, 0.76, 1.00, -0.76, 1.00, 0.00, 0.00, 1.23, 0.76, 0.80, -0.32, 0.40, -0.72, 0.80, -0.40, -0.40, 0.00, 0.00, -0.80, -0.90, -0.68, 0.90, -0.16, -0.20, -0.16, -0.20, 0.68, -0.90, -0.36, 0.50, -0.56, -0.80, 0.72, -0.90, 0.44, -0.60, -0.48, -0.70, -0.16, 0.00, -1.11, 0.32, 0.00, -1.07, 0.60, -0.80, -0.28, -0.40, -0.64, 0.00, 0.91, 1.11, 0.64, -0.90, 0.76, -0.80, 0.00, 0.00, -0.76, -0.80, 1.03, 0.00, -0.36, -0.64, -0.70, 0.36, -0.40, /* 3540-3667 */ 1.07, 0.36, -0.50, -0.52, -0.70, 0.60, 0.00, 0.88, 0.95, 0.00, 0.48, 0.16, -0.20, 0.60, 0.80, 0.16, -0.20, -0.60, -0.80, 0.00, -1.00, 0.12, 0.20, 0.16, -0.20, 0.68, 0.70, 0.59, -0.80, -0.99, -0.56, -0.60, 0.36, -0.40, -0.68, -0.70, -0.68, -0.70, -0.36, -0.50, -0.44, 0.60, 0.64, 0.70, -0.12, 0.10, -0.52, 0.60, 0.36, 0.40, 0.00, 0.00, 0.95, -0.84, 0.00, 0.44, 0.56, 0.60, 0.32, -0.30, 0.00, 0.00, 0.60, 0.70, 0.00, 0.00, 0.60, 0.70, -0.12, -0.20, 0.52, -0.70, 0.00, 0.00, 0.56, 0.70, -0.12, 0.10, -0.52, -0.70, 0.00, 0.00, 0.88, -0.76, 0.00, -0.44, 0.00, 0.00, -0.52, -0.70, 0.52, -0.70, 0.36, -0.40, -0.44, -0.50, 0.00, 0.00, 0.60, 0.60, 0.84, 0.00, 0.12, -0.24, 0.00, 0.80, -0.56, 0.60, -0.32, -0.30, 0.48, -0.50, 0.28, -0.30, -0.48, -0.50, 0.12, 0.20, 0.48, -0.60, 0.48, 0.60, -0.12, 0.20, 0.24, 0.00, 0.76, -0.52, /* 3668-3795 */ -0.60, -0.52, 0.60, 0.48, -0.50, -0.24, -0.30, 0.12, -0.10, 0.48, 0.60, 0.52, -0.20, 0.36, 0.40, -0.44, 0.50, -0.24, -0.30, -0.48, -0.60, -0.44, -0.60, -0.12, 0.10, 0.76, 0.76, 0.20, -0.20, 0.48, 0.50, 0.40, -0.50, -0.24, -0.30, 0.44, -0.60, 0.44, -0.60, 0.36, 0.00, -0.64, 0.72, 0.00, -0.12, 0.00, -0.10, -0.40, -0.60, -0.20, -0.20, -0.44, 0.50, -0.44, 0.50, 0.20, 0.20, -0.44, -0.50, 0.20, -0.20, -0.20, 0.20, -0.44, -0.50, 0.64, 0.00, 0.32, -0.36, 0.50, -0.20, -0.30, 0.12, -0.10, 0.48, 0.50, -0.12, 0.30, -0.36, -0.50, 0.00, 0.00, 0.48, 0.50, -0.48, 0.50, 0.68, 0.00, -0.12, 0.56, -0.40, 0.44, -0.50, -0.12, -0.10, 0.24, 0.30, -0.40, 0.40, 0.64, 0.00, -0.24, 0.64, 0.00, -0.20, 0.00, 0.00, 0.44, -0.50, 0.44, 0.50, -0.12, 0.20, -0.36, -0.50, 0.12, 0.00, 0.64, -0.40, 0.50, 0.00, 0.10, 0.00, 0.00, -0.40, 0.50, 0.00, 0.00, /* 3796-3923 */ -0.40, -0.50, 0.56, 0.00, 0.28, 0.00, 0.10, 0.36, 0.50, 0.00, -0.10, 0.36, -0.50, 0.36, 0.50, 0.00, -0.10, 0.24, -0.20, -0.36, -0.40, 0.16, 0.20, 0.40, -0.40, 0.00, 0.00, -0.36, -0.50, -0.36, -0.50, -0.32, -0.50, -0.12, 0.10, 0.20, 0.20, -0.36, 0.40, -0.60, 0.60, 0.28, 0.00, 0.52, 0.12, -0.10, 0.40, 0.40, 0.00, -0.50, 0.20, -0.20, -0.32, 0.40, 0.16, 0.20, -0.16, 0.20, 0.32, 0.40, 0.56, 0.00, -0.12, 0.32, -0.40, -0.16, -0.20, 0.00, 0.00, 0.40, 0.40, -0.40, -0.40, -0.40, 0.40, -0.36, 0.40, 0.12, 0.10, 0.00, 0.10, 0.36, 0.40, 0.00, -0.10, 0.36, 0.40, -0.36, 0.40, 0.00, 0.10, 0.32, 0.00, 0.44, 0.12, 0.20, 0.28, -0.40, 0.00, 0.00, 0.36, 0.40, 0.32, -0.40, -0.16, 0.12, 0.10, 0.32, -0.40, 0.20, 0.30, -0.24, 0.30, 0.00, 0.10, 0.32, 0.40, 0.00, -0.10, -0.32, -0.40, -0.32, 0.40, 0.00, 0.10, -0.52, -0.52, 0.52, /* 3924-4051 */ 0.32, -0.40, 0.00, 0.00, 0.32, 0.40, 0.32, -0.40, 0.00, 0.00, -0.32, -0.40, -0.32, 0.40, 0.32, 0.40, 0.00, 0.00, 0.32, 0.40, 0.00, 0.00, -0.32, -0.40, 0.00, 0.00, 0.32, 0.40, 0.16, 0.20, 0.32, -0.30, -0.16, 0.00, -0.48, -0.20, 0.20, -0.28, -0.30, 0.28, -0.40, 0.00, 0.00, 0.28, -0.40, 0.00, 0.00, 0.28, -0.40, 0.00, 0.00, -0.28, -0.40, 0.28, 0.40, -0.28, -0.40, -0.48, -0.20, 0.20, 0.24, 0.30, 0.44, 0.00, 0.16, 0.24, 0.30, 0.16, -0.20, 0.24, 0.30, -0.12, 0.20, 0.20, 0.30, -0.16, 0.20, 0.00, 0.00, 0.44, -0.32, 0.30, 0.24, 0.00, -0.36, 0.36, 0.00, 0.24, 0.12, -0.20, 0.20, 0.30, -0.12, 0.00, -0.28, 0.30, -0.24, 0.30, 0.12, 0.10, -0.28, -0.30, -0.28, 0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, 0.28, 0.30, 0.00, 0.00, -0.28, -0.30, -0.28, 0.30, 0.00, 0.00, -0.28, -0.30, 0.00, 0.00, /* 4052-4179 */ 0.28, 0.30, 0.00, 0.00, -0.28, 0.30, 0.28, -0.30, -0.28, 0.30, 0.40, 0.40, -0.24, 0.30, 0.00, -0.10, 0.16, 0.00, 0.36, -0.20, 0.30, -0.12, -0.10, -0.24, -0.30, 0.00, 0.00, -0.24, 0.30, -0.24, 0.30, 0.00, 0.00, -0.24, 0.30, -0.24, 0.30, 0.24, -0.30, 0.00, 0.00, 0.24, -0.30, 0.00, 0.00, 0.24, 0.30, 0.24, -0.30, 0.24, 0.30, -0.24, 0.30, -0.24, 0.30, -0.20, 0.20, -0.16, -0.20, 0.00, 0.00, -0.32, 0.20, 0.00, 0.10, 0.20, -0.30, 0.20, -0.20, 0.12, 0.20, -0.16, 0.20, 0.16, 0.20, 0.20, 0.30, 0.20, 0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, 0.20, 0.30, -0.20, -0.30, -0.20, -0.30, 0.20, -0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, 0.30, 0.00, 0.00, 0.20, -0.30, 0.00, 0.00, -0.20, -0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, -0.20, 0.30, 0.00, 0.00, 0.36, /* 4180-4307 */ 0.00, 0.00, 0.36, 0.12, 0.10, -0.24, 0.20, 0.12, -0.20, -0.16, -0.20, -0.13, 0.10, 0.22, 0.21, 0.20, 0.00, -0.28, 0.32, 0.00, -0.12, -0.20, -0.20, 0.12, -0.10, 0.12, 0.10, -0.20, 0.20, 0.00, 0.00, -0.32, 0.32, 0.00, 0.00, 0.32, 0.32, 0.00, 0.00, -0.24, -0.20, 0.24, 0.20, 0.20, 0.00, -0.24, 0.00, 0.00, -0.24, -0.20, 0.00, 0.00, 0.24, 0.20, -0.24, -0.20, 0.00, 0.00, -0.24, 0.20, 0.16, -0.20, 0.12, 0.10, 0.20, 0.20, 0.00, -0.10, -0.12, 0.10, -0.16, -0.20, -0.12, -0.10, -0.16, 0.20, 0.20, 0.20, 0.00, 0.00, -0.20, 0.20, -0.20, 0.20, -0.20, 0.20, -0.20, 0.20, 0.20, -0.20, -0.20, -0.20, 0.00, 0.00, -0.20, 0.20, 0.20, 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, -0.20, 0.20, -0.20, -0.20, -0.20, -0.20, 0.00, 0.00, 0.20, 0.20, 0.20, 0.20, 0.12, -0.20, -0.12, -0.10, 0.28, -0.28, 0.16, -0.20, 0.00, -0.10, 0.00, 0.10, -0.16, /* 4308-4435 */ 0.20, 0.00, -0.10, -0.16, -0.20, 0.00, -0.10, 0.16, -0.20, 0.16, -0.20, 0.00, 0.00, 0.16, 0.20, -0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.16, -0.20, 0.16, -0.20, -0.16, 0.20, 0.16, -0.20, 0.00, 0.00, 0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.00, 0.00, -0.16, -0.20, 0.16, -0.20, -0.16, -0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, -0.16, 0.20, 0.00, 0.00, 0.16, -0.20, 0.16, 0.20, 0.16, 0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, -0.16, -0.20, 0.00, 0.00, 0.16, 0.20, 0.16, 0.20, 0.00, 0.00, 0.16, 0.20, 0.16, -0.20, 0.16, 0.20, 0.00, 0.00, -0.16, 0.20, 0.00, 0.10, 0.12, -0.20, 0.12, -0.20, 0.00, -0.10, 0.00, -0.10, 0.12, 0.20, 0.00, -0.10, -0.12, 0.20, -0.15, 0.20, -0.24, 0.24, 0.00, 0.00, 0.24, 0.24, 0.12, -0.20, -0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.12, -0.20, 0.12, 0.20, 0.12, 0.20, 0.12, 0.20, 0.12, /* 4436-4563 */ -0.20, -0.12, 0.20, 0.00, 0.00, 0.12, 0.20, 0.12, 0.00, -0.20, 0.00, 0.00, -0.12, -0.20, 0.12, -0.20, 0.00, 0.00, 0.12, 0.20, -0.12, 0.20, -0.12, 0.20, 0.12, -0.20, 0.00, 0.00, 0.12, 0.20, 0.20, 0.00, 0.12, 0.00, 0.00, -0.12, 0.20, 0.00, 0.00, -0.12, -0.20, 0.00, 0.00, -0.12, -0.20, -0.12, -0.20, 0.00, 0.00, 0.12, -0.20, 0.12, -0.20, 0.12, 0.20, -0.12, -0.20, 0.00, 0.00, 0.12, -0.20, 0.12, -0.20, 0.12, 0.20, 0.12, 0.00, 0.20, -0.12, -0.20, 0.00, 0.00, 0.12, 0.20, -0.16, 0.00, 0.16, -0.20, 0.20, 0.00, 0.00, -0.20, 0.00, 0.00, -0.20, 0.20, 0.00, 0.00, 0.20, 0.20, -0.20, 0.00, 0.00, -0.20, 0.12, 0.00, -0.16, 0.20, 0.00, 0.00, 0.20, 0.12, -0.10, 0.00, 0.10, 0.16, -0.16, -0.16, -0.16, -0.16, -0.16, 0.00, 0.00, -0.16, 0.00, 0.00, -0.16, -0.16, -0.16, 0.00, 0.00, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, 0.16, /* 4564-4691 */ 0.00, 0.00, 0.16, 0.16, 0.00, 0.00, -0.16, 0.00, 0.00, -0.16, -0.16, 0.00, 0.00, 0.16, 0.00, 0.00, -0.16, -0.16, 0.00, 0.00, -0.16, -0.16, 0.12, 0.10, 0.12, -0.10, 0.12, 0.10, 0.00, 0.00, 0.12, 0.10, -0.12, 0.10, 0.00, 0.00, 0.12, 0.10, 0.12, -0.10, 0.00, 0.00, -0.12, -0.10, 0.00, 0.00, 0.12, 0.10, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, -0.12, 0.00, 0.00, 0.12, 0.12, 0.12, 0.12, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, -0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00, 0.00, 0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, -0.12, 0.00, 0.00, -0.12, 0.12, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.12, -0.12, 0.00, 0.00, -0.12, -0.12, -0.12, 0.00, 0.00, -0.12, /* 4692-NA */ -0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, -0.12, -0.12, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, -0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, 0.12, -0.12, -0.12, -0.12, -0.12, 0.12, 0.12, -0.12, -0.12, 0.00, 0.00, -0.12, 0.00, 0.00, -0.12, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, -0.12, -0.12, 0.00, 0.00, -0.12, -0.12, 0.12, 0.00, 0.00, 0.12, 0.12, 0.00, 0.00, 0.12, 0.00, 0.00, 0.12, 0.12, 0.08, 0.00, 0.04 }; /* Number of amplitude coefficients */ final int NA = a.length; /* Amplitude usage: X or Y, sin or cos, power of T. */ final int jaxy[] = {0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1}; final int jasc[] = {0,1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0}; final int japt[] = {0,0,0,0,1,1,1,1,2,2,2,2,3,3,3,3,4,4,4,4}; /* Miscellaneous */ double t, w, pt[] = new double[MAXPT+1], fa[] = new double[14], xypr[] = new double[2], xypl[] = new double[2], xyls[] = new double[2], arg, sc[] = new double[2]; int jpt, i, j, jxy, ialast, ifreq, m, ia, jsc; /*--------------------------------------------------------------------*/ /* Interval between fundamental date J2000.0 and given date (JC). */ t = ((date1 - DJ00) + date2) / DJC; /* Powers of T. */ w = 1.0; for (jpt = 0; jpt <= MAXPT; jpt++) { pt[jpt] = w; w *= t; } /* Initialize totals in X and Y: polynomial, luni-solar, planetary. */ for (jxy = 0; jxy < 2; jxy++) { xypr[jxy] = 0.0; xyls[jxy] = 0.0; xypl[jxy] = 0.0; } /* --------------------------------- */ /* Fundamental arguments (IERS 2003) */ /* --------------------------------- */ /* Mean anomaly of the Moon. */ fa[0] = jauFal03(t); /* Mean anomaly of the Sun. */ fa[1] = jauFalp03(t); /* Mean argument of the latitude of the Moon. */ fa[2] = jauFaf03(t); /* Mean elongation of the Moon from the Sun. */ fa[3] = jauFad03(t); /* Mean longitude of the ascending node of the Moon. */ fa[4] = jauFaom03(t); /* Planetary longitudes, Mercury through Neptune. */ fa[5] = jauFame03(t); fa[6] = jauFave03(t); fa[7] = jauFae03(t); fa[8] = jauFama03(t); fa[9] = jauFaju03(t); fa[10] = jauFasa03(t); fa[11] = jauFaur03(t); fa[12] = jauFane03(t); /* General accumulated precession in longitude. */ fa[13] = jauFapa03(t); /* -------------------------------------- */ /* Polynomial part of precession-nutation */ /* -------------------------------------- */ for (jxy = 0; jxy < 2; jxy++) { for (j = MAXPT; j >= 0; j--) { xypr[jxy] += xyp[jxy][j] * pt[j]; } } /* ---------------------------------- */ /* Nutation periodic terms, planetary */ /* ---------------------------------- */ /* Work backwards through the coefficients per frequency list. */ ialast = NA; for (ifreq = NFPL-1; ifreq >= 0; ifreq--) { /* Obtain the argument functions. */ arg = 0.0; for (i = 0; i < 14; i++) { m = mfapl[ifreq][i]; if (m != 0) arg += (double)m * fa[i]; } sc[0] = sin(arg); sc[1] = cos(arg); /* Work backwards through the amplitudes at this frequency. */ ia = nc[ifreq+NFLS]; for (i = ialast; i >= ia; i--) { /* Coefficient number (0 = 1st). */ j = i-ia; /* X or Y. */ jxy = jaxy[j]; /* Sin or cos. */ jsc = jasc[j]; /* Power of T. */ jpt = japt[j]; /* Accumulate the component. */ xypl[jxy] += a[i-1] * sc[jsc] * pt[jpt]; } ialast = ia-1; } /* ----------------------------------- */ /* Nutation periodic terms, luni-solar */ /* ----------------------------------- */ /* Continue working backwards through the number of coefficients list. */ for (ifreq = NFLS-1; ifreq >= 0; ifreq--) { /* Obtain the argument functions. */ arg = 0.0; for (i = 0; i < 5; i++) { m = mfals[ifreq][i]; if (m != 0) arg += (double)m * fa[i]; } sc[0] = sin(arg); sc[1] = cos(arg); /* Work backwards through the amplitudes at this frequency. */ ia = nc[ifreq]; for (i = ialast; i >= ia; i--) { /* Coefficient number (0 = 1st). */ j = i-ia; /* X or Y. */ jxy = jaxy[j]; /* Sin or cos. */ jsc = jasc[j]; /* Power of T. */ jpt = japt[j]; /* Accumulate the component. */ xyls[jxy] += a[i-1] * sc[jsc] * pt[jpt]; } ialast = ia-1; } /* ------------------------------------ */ /* Results: CIP unit vector components */ /* ------------------------------------ */ double x = DAS2R * (xypr[0] + (xyls[0] + xypl[0]) / 1e6); double y = DAS2R * (xypr[1] + (xyls[1] + xypl[1]) / 1e6); return new CelestialIntermediatePole(x, y); } /** * For a given TT date, compute the X,Y coordinates of the Celestial * Intermediate Pole and the CIO locator s, using the IAU 2000A * precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return x double returned Celestial Intermediate Pole (Note 2) * y double returned Celestial Intermediate Pole (Note 2) * s double returned the CIO locator s (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 12 * * @since Release 20101201 * * */ public static ICRFrame jauXys00a(double date1, double date2) { /* Form the bias-precession-nutation matrix, IAU 2000A. */ double rbpn[][] = jauPnm00a(date1, date2); /* Extract X,Y. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Obtain s. */ double s = jauS00(date1, date2, cip.x, cip.y); return new ICRFrame(cip, s); } /** * The Celestial Intermediate Pole coordinates are the x,y * components of the unit vector in the Geocentric Celestial * Reference System. * * The CIO locator s (in radians) positions the Celestial * Intermediate Origin on the equator of the CIP. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 1 Feb 2010 * * @since AIDA Stage 1 */ public static class ICRFrame { public CelestialIntermediatePole cip; public double s; public ICRFrame(CelestialIntermediatePole cip, double s) { this.cip = cip; this.s = s; } } /** * For a given TT date, compute the X,Y coordinates of the Celestial * Intermediate Pole and the CIO locator s, using the IAU 2000B * precession-nutation model. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return x double returned Celestial Intermediate Pole (Note 2) * y double returned Celestial Intermediate Pole (Note 2) * s double returned the CIO locator s (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
Reference: * *
McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), * IERS Technical Note No. 32, BKG (2004) * *@version 2008 May 12 * * @since Release 20101201 * * */ public static ICRFrame jauXys00b(double date1, double date2) { double rbpn[][] = new double[3][3]; /* Form the bias-precession-nutation matrix, IAU 2000A. */ rbpn = jauPnm00b(date1, date2); /* Extract X,Y. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Obtain s. */ double s = jauS00(date1, date2, cip.x, cip.y); return new ICRFrame(cip, s); } /** * For a given TT date, compute the X,Y coordinates of the Celestial * Intermediate Pole and the CIO locator s, using the IAU 2006 * precession and IAU 2000A nutation models. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian Date (Note 1) * @param date2 double TT as a 2-part Julian Date (Note 1) * * * @return x double returned Celestial Intermediate Pole (Note 2) * y double returned Celestial Intermediate Pole (Note 2) * s double returned the CIO locator s (Note 2) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in
* cases where the loss of several decimal digits of resolution
* is acceptable. The J2000 method is best matched to the way
* the argument is handled internally and will deliver the
* optimum resolution. The MJD method and the date & time methods
* are both good compromises between resolution and convenience.
*
* Called:
References: * *
Capitaine, N. & Wallace, P.T., 2006, Astron.Astrophys. 450, 855 * *
Wallace, P.T. & Capitaine, N., 2006, Astron.Astrophys. 459, 981 * *@version 2008 May 11 * * @since Release 20101201 * * */ public static ICRFrame jauXys06a(double date1, double date2) { double rbpn[][] = new double[3][3]; /* Form the bias-precession-nutation matrix, IAU 2000A. */ rbpn = jauPnm06a(date1, date2); /* Extract X,Y. */ CelestialIntermediatePole cip = jauBpn2xy(rbpn); /* Obtain s. */ double s = jauS06(date1, date2, cip.x, cip.y); return new ICRFrame(cip, s); } /** * Zero a p-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param p double[3] returned p-vector * *@version 2008 May 11 * * @since Release 20101201 * * */ public static void jauZp(double p[] ) { p[0] = 0.0; p[1] = 0.0; p[2] = 0.0; return; } /** * Return Zero p-vector. This is a convenience method that is an * overload of the official SOFA API {@link #jauZp(double[])} that does not require * the vector to be passed in. * * @return double[3] a zero vector. * */ public static double[] jauZp() { double p[] = new double[3]; jauZp(p); return p; } /** * Zero a pv-vector. * *
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param pv double[2][3] returned pv-vector * *
Called:
This function is derived from the International Astronomical Union's * SOFA (Standards Of Fundamental Astronomy) software collection. * *
Status: vector/matrix support function. * * * @param r double[3][3] returned r-matrix * *@version 2008 May 11 * * @since Release 20101201 * * */ public static void jauZr(double r[][]) { int i, j; for (i = 0; i < 3; i++) { for (j = 0; j < 3; j++) { r[i][j] = 0.0; } } return; } /** * Initialize an r-matrix to the null matrix. * * This is a convenience method that is an * overload of the official SOFA API {@link #jauZr(double[][])} that does not require * the vector to be passed in. * @return null r matrix. */ public static double[][] jauZr() { double r[][] = new double[2][3]; jauZr(r); return r; } /** * returns the first argument modulo the second. * Utility function to retain C use of fmod. * @param d * @param d2 * @author Paul Harrison (paul.harrison@manchester.ac.uk) 27 Jan 2010 * @return */ private static double fmod(double d, double d2) { return d % d2; } //IMPL new 20131202 routines after here /** * Star-independent astrometry parameters. * * (Vectors eb, eh, em and v are all with respect to BCRS axes.) * * @author Paul Harrison (paul.harrison@manchester.ac.uk) 26 Mar 2014 * @since 20131202 */ public static class Astrom { /** PM time interval (SSB, Julian years) */ public double pmt; /** SSB to observer (vector, au) [3]*/ public double eb[] = new double[3]; /** Sun to observer (unit vector)[3] */ public double eh[] = new double[3]; /** distance from Sun to observer (au) */ public double em; /** barycentric observer velocity (vector, c)[3] */ public double v[] = new double[3]; /** sqrt(1-|v|^2): reciprocal of Lorenz factor */ public double bm1; /** bias-precession-nutation matrix [3][3] */ public double bpn[][] = new double[3][3]; /** adjusted longitude (radians) */ public double along; /** geodetic latitude (radians) */ public double phi; /** polar motion xp wrt local meridian (radians) */ public double xpl; /** polar motion yp wrt local meridian (radians) */ public double ypl; /** sine of geodetic latitude */ public double sphi; /** cosine of geodetic latitude */ public double cphi; /** magnitude of diurnal aberration vector */ public double diurab; /** "local" Earth rotation angle (radians) */ public double eral; /** refraction constant A (radians) */ public double refa; /** refraction constant B (radians) */ public double refb; /** * */ public Astrom(){} } ; /** * Body parameters for light deflection. * @author Paul Harrison (paul.harrison@manchester.ac.uk) 26 Mar 2014 * @since 20131202 */ public static class Ldbody { /** mass of the body (solar masses) */ public double bm; /** deflection limiter (radians^2/2) */ public double dl; /** barycentric PV of the body (au, au/day)[2][3] */ public double pv[][] = new double [2][3]; } ; /** * Apply aberration to transform natural direction into proper * direction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param pnat double[3] natural direction to the source (unit vector) * @param v double[3] observer barycentric velocity in units of c * @param s double distance between the Sun and the observer (au) * @param bm1 double sqrt(1-|v|^2): reciprocal of Lorenz factor * * * @return ppr double[3] Returned proper direction to source (unit vector) * *
Notes: *
o Rigorous rather than approximate normalization is applied. * *
o The gravitational potential term from Expr. (7) in * Klioner (2003) is added, taking into account only the Sun's * contribution. This has a maximum effect of about * 0.4 microarcsecond. * *
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * @param ebpv double[2][3] Earth barycentric pos/vel (au, au/day) * @param ehp double[3] Earth heliocentric position (au) * * * @param astrom jauASTROM Returned star-independent astrometry parameters: * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
*
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * * * @param astrom Returned star-independent astrometry parameters: * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: *
* {@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
*
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * @param ebpv double[2][3] Earth barycentric position/velocity (au, au/day) * @param ehp double[3] Earth heliocentric position (au) * @param x double CIP X,Y (components of unit vector) * @param y double CIP X,Y (components of unit vector) * @param s double the CIO locator s (radians) * * * @param astrom Returned star-independent astrometry parameters: * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * * * @param astrom jauASTROM Returned star-independent astrometry parameters: * pmt double Returned PM time interval (SSB, Julian years) * eb double[3] Returned SSB to observer (vector, au) * eh double[3] Returned Sun to observer (unit vector) * em double Returned distance from Sun to observer (au) * v double[3] Returned barycentric observer velocity (vector, c) * bm1 double Returned sqrt(1-|v|^2): reciprocal of Lorenz factor * bpn double[3][3] Returned bias-precession-nutation matrix * along double Returned unchanged * xpl double Returned unchanged * ypl double Returned unchanged * sphi double Returned unchanged * cphi double Returned unchanged * diurab double Returned unchanged * eral double Returned unchanged * refa double Returned unchanged * refb double Returned unchanged * @return double* Returned equation of the origins (ERA-GST) * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * @param ebpv double[2][3] Earth barycentric PV (au, au/day, Note 2) * @param ehp double[3] Earth heliocentric P (au, Note 2) * @param x double CIP X,Y (components of unit vector) * @param y double CIP X,Y (components of unit vector) * @param s double the CIO locator s (radians) * @param theta double Earth rotation angle (radians) * @param elong double longitude (radians, east +ve, Note 3) * @param phi double latitude (geodetic, radians, Note 3) * @param hm double height above ellipsoid (m, geodetic, Note 3) * @param xp double polar motion coordinates (radians, Note 4) * @param yp double polar motion coordinates (radians, Note 4) * @param sp double the TIO locator s' (radians, Note 4) * @param refa double refraction constant A (radians, Note 5) * @param refb double refraction constant B (radians, Note 5) * * * @param astrom Returned star-independent astrometry parameters: * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
Internally, the polar motion is stored in a form rotated onto the * local meridian. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 1,2) * @param dut1 double UT1-UTC (seconds, Note 3) * @param elong double longitude (radians, east +ve, Note 4) * @param phi double latitude (geodetic, radians, Note 4) * @param hm double height above ellipsoid (m, geodetic, Notes 4,6) * @param xp double polar motion coordinates (radians, Note 5) * @param yp double polar motion coordinates (radians, Note 5) * @param phpa double pressure at the observer (hPa = mB, Note 6) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 7) * * * @param astrom Returned star-independent astrometry parameters: * * * @return double Returned equation of the origins (ERA-GST) * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 2) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
Internally, the polar motion is stored in a form rotated onto * the local meridian. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to * the pressure and that an accurate phpa value is important for * precise work. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * @param pv double[2][3] observer's geocentric pos/vel (m, m/s) * @param ebpv double[2][3] Earth barycentric PV (au, au/day) * @param ehp double[3] Earth heliocentric P (au) * * * @param astrom Returned star-independent astrometry parameters: *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: * *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * @param pv double[2][3] observer's geocentric pos/vel (Note 3) * * * @param astrom Returned star-independent astrometry parameters: * *
Notes: *
* date1 date2
*
* 2450123.7 0.0 (JD method)
* 2451545.0 -1421.3 (J2000 method)
* 2400000.5 50123.2 (MJD method)
* 2450123.5 0.2 (date & time method)
*
* The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param theta double Earth rotation angle (radians, Note 2) * @param astrom Astrom star-independent astrometry parameters:{@code * pmt double not used * eb double[3] not used * eh double[3] not used * em double not used * v double[3] not used * bm1 double not used * bpn double[3][3] not used * along double longitude + s' (radians) * xpl double not used * ypl double not used * sphi double not used * cphi double not used * diurab double not used * eral double not used * refa double not used * refb double not used} * * * astrom Returned star-independent astrometry parameters: * *
Notes: *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ut11 double UT1 as a 2-part... * @param ut12 double ...Julian Date (Note 1) * @param astrom star-independent astrometry parameters: * pmt double not used * eb double[3] not used * eh double[3] not used * em double not used * v double[3] not used * bm1 double not used * bpn double[3][3] not used * along double longitude + s' (radians) * xpl double not used * ypl double not used * sphi double not used * cphi double not used * diurab double not used * eral double not used * refa double not used * refb double not used * * * @param astrom Returned star-independent astrometry parameters: * *
Notes: *
ut11 ut12 * * 2450123.7 0.0 (JD method) * 2451545.0 -1421.3 (J2000 method) * 2400000.5 50123.2 (MJD method) * 2450123.5 0.2 (date & time method) * *
The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 and MJD methods are good compromises * between resolution and convenience. The date & time method is * best matched to the algorithm used: maximum precision is * delivered when the ut11 argument is for 0hrs UT1 on the day in * question and the ut12 argument lies in the range 0 to 1, or vice * versa. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param sp double the TIO locator s' (radians, Note 1) * @param theta double Earth rotation angle (radians) * @param elong double longitude (radians, east +ve, Note 2) * @param phi double geodetic latitude (radians, Note 2) * @param hm double height above ellipsoid (m, geodetic Note 2) * @param xp double polar motion coordinates (radians, Note 3) * @param yp double polar motion coordinates (radians, Note 3) * @param refa double refraction constant A (radians, Note 4) * @param refb double refraction constant B (radians, Note 4) * * * @param astrom {@link Astrom} Returned star-independent astrometry parameters: * *
Notes: *
Internally, the polar motion is stored in a form rotated onto the * local meridian. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
*}
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 1,2) * @param dut1 double UT1-UTC (seconds) * @param elong double longitude (radians, east +ve, Note 3) * @param phi double geodetic latitude (radians, Note 3) * @param hm double height above ellipsoid (m, geodetic Notes 4,6) * @param xp double polar motion coordinates (radians, Note 5) * @param yp double polar motion coordinates (radians, Note 5) * @param phpa double pressure at the observer (hPa = mB, Note 6) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 7) * * * @param astrom Returned star-independent astrometry parameters: * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 2) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
Internally, the polar motion is stored in a form rotated onto * the local meridian. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to the * pressure and that an accurate phpa value is important for * precise work. * *
The various functions support different classes of observer and * portions of the transformation chain: *
{@code
* functions observer transformation
*
* iauApcg iauApcg13 geocentric ICRS <-> GCRS
* iauApci iauApci13 terrestrial ICRS <-> CIRS
* iauApco iauApco13 terrestrial ICRS <-> observed
* iauApcs iauApcs13 space ICRS <-> GCRS
* iauAper iauAper13 terrestrial update Earth rotation
* iauApio iauApio13 terrestrial CIRS <-> observed
* }
* Those with names ending in "13" use contemporary SOFA models to * compute the various ephemerides. The others accept ephemerides * supplied by the caller. * *
The transformation from ICRS to GCRS covers space motion, * parallax, light deflection, and aberration. From GCRS to CIRS * comprises frame bias and precession-nutation. From CIRS to * observed takes account of Earth rotation, polar motion, diurnal * aberration and parallax (unless subsumed into the {@code ICRS <-> GCRS} * transformation), and atmospheric refraction. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS right ascension at J2000.0 (radians, Note 1) * @param dc double ICRS declination at J2000.0 (radians, Note 1) * @param pr double RA proper motion (radians/year; Note 2) * @param pd double Dec proper motion (radians/year) * @param px double parallax (arcsec) * @param rv double radial velocity (km/s, +ve if receding) * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 3) * * * @return double* Returned CIRS geocentric RA,Dec (radians) * eo double* Returned equation of the origins (ERA-GST, Note 5) * *
Notes: *
The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS RA,Dec at J2000.0 (radians) * @param dc double ICRS RA,Dec at J2000.0 (radians) * @param pr double RA proper motion (radians/year; Note 3) * @param pd double Dec proper motion (radians/year) * @param px double parallax (arcsec) * @param rv double radial velocity (km/s, +ve if receding) * @param astrom star-independent astrometry parameters: * * * @return double Returned CIRS RA,Dec (radians) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS RA,Dec at J2000.0 (radians) * @param dc double ICRS RA,Dec at J2000.0 (radians) * @param pr double RA proper motion (radians/year; Note 3) * @param pd double Dec proper motion (radians/year) * @param px double parallax (arcsec) * @param rv double radial velocity (km/s, +ve if receding) * @param astrom star-independent astrometry parameters: * @param n int number of bodies (Note 3) * @param b jauLDBODY[n] data for each of the n bodies (Notes 3,4): * * * @return ri,di double Returned CIRS RA,Dec (radians) * *
Notes: *
* body i b[i].bm b[i].dl
*
* Sun 1.0 6e-6
* Jupiter 0.00095435 3e-9
* Saturn 0.00028574 3e-10
*
* This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS astrometric RA,Dec (radians) * @param dc double ICRS astrometric RA,Dec (radians) * @param astrom star-independent astrometry parameters: * * * @return ri,di double Returned CIRS RA,Dec (radians) * * Note: * * @return All the Returned vectors are with respect to BCRS axes. * *
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS right ascension at J2000.0 (radians, Note 1) * @param dc double ICRS right ascension at J2000.0 (radians, Note 1) * @param pr double RA proper motion (radians/year; Note 2) * @param pd double Dec proper motion (radians/year) * @param px double parallax (arcsec) * @param rv double radial velocity (km/s, +ve if receding) * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 3-4) * @param dut1 double UT1-UTC (seconds, Note 5) * @param elong double longitude (radians, east +ve, Note 6) * @param phi double latitude (geodetic, radians, Note 6) * @param hm double height above ellipsoid (m, geodetic, Notes 6,8) * @param xp double polar motion coordinates (radians, Note 7) * @param yp double polar motion coordinates (radians, Note 7) * @param phpa double pressure at the observer (hPa = mB, Note 8) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 9) * * * @return aob double* Returned observed azimuth (radians: N=0,E=90) * zob double* Returned observed zenith distance (radians) * hob double* Returned observed hour angle (radians) * dob double* Returned observed declination (radians) * rob double* Returned observed right ascension (CIO-based, radians) * eo double* Returned equation of the origins (ERA-GST) * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 4) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to * the pressure and that an accurate phpa value is important for * precise work. * *
Without refraction, the complementary functions iauAtco13 and * iauAtoc13 are self-consistent to better than 1 microarcsecond * all over the celestial sphere. With refraction included, * consistency falls off at high zenith distances, but is still * better than 0.05 arcsec at 85 degrees. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ri double CIRS geocentric RA,Dec (radians) * @param di double CIRS geocentric RA,Dec (radians) * @param date1 double TDB as a 2-part... * @param date2 double ...Julian Date (Note 1) * * * @return rc,dc double Returned ICRS astrometric RA,Dec (radians) * eo double Returned equation of the origins (ERA-GST, Note 4) * *
Notes: *
The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. For most * applications of this function the choice will not be at all * critical. * *
TT can be used instead of TDB without any significant impact on * accuracy. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ri double CIRS RA,Dec (radians) * @param di double CIRS RA,Dec (radians) * @param astrom star-independent astrometry parameters: * * * @return rc,dc double Returned ICRS astrometric RA,Dec (radians) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ri double CIRS RA,Dec (radians) * @param di double CIRS RA,Dec (radians) * @param astrom star-independent astrometry parameters: * @param n number of bodies. * @param b[] data for each of the n bodies. * * * @return ICRS astrometric RA,Dec (radians) * *
Notes: *
body i b[i].bm b[i].dl * *
Sun 1.0 6e-6 * Jupiter 0.00095435 3e-9 * Saturn 0.00028574 3e-10 * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ri double CIRS right ascension (CIO-based, radians) * @param di double CIRS declination (radians) * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 1,2) * @param dut1 double UT1-UTC (seconds, Note 3) * @param elong double longitude (radians, east +ve, Note 4) * @param phi double geodetic latitude (radians, Note 4) * @param hm double height above ellipsoid (m, geodetic Notes 4,6) * @param xp double polar motion coordinates (radians, Note 5) * @param yp double polar motion coordinates (radians, Note 5) * @param phpa double pressure at the observer (hPa = mB, Note 6) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 7) * * * @return aob double* Returned observed azimuth (radians: N=0,E=90) * zob double* Returned observed zenith distance (radians) * hob double* Returned observed hour angle (radians) * dob double* Returned observed declination (radians) * rob double* Returned observed right ascension (CIO-based, radians) * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 2) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to * the pressure and that an accurate phpa value is important for * precise work. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ri double CIRS right ascension * @param di double CIRS declination * @param astrom star-independent astrometry parameters: * * * @return aob double* Returned observed azimuth (radians: N=0,E=90) * zob double* Returned observed zenith distance (radians) * hob double* Returned observed hour angle (radians) * dob double* Returned observed declination (radians) * rob double* Returned observed right ascension (CIO-based, radians) * *
Notes: *
Without refraction, the complementary functions iauAtioq and * iauAtoiq are self-consistent to better than 1 microarcsecond all * over the celestial sphere. With refraction included, consistency * falls off at high zenith distances, but is still better than * 0.05 arcsec at 85 degrees. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param type char[] type of coordinates - "R", "H" or "A" (Notes 1,2) * @param ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) * @param ob2 double observed ZD or Dec (radians) * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 3,4) * @param dut1 double UT1-UTC (seconds, Note 5) * @param elong double longitude (radians, east +ve, Note 6) * @param phi double geodetic latitude (radians, Note 6) * @param hm double height above ellipsoid (m, geodetic Notes 6,8) * @param xp double polar motion coordinates (radians, Note 7) * @param yp double polar motion coordinates (radians, Note 7) * @param phpa double pressure at the observer (hPa = mB, Note 8) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 9) * * * @return rc,dc double Returned ICRS astrometric RA,Dec (radians) * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 4) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to * the pressure and that an accurate phpa value is important for * precise work. * *
Without refraction, the complementary functions iauAtco13 and * iauAtoc13 are self-consistent to better than 1 microarcsecond * all over the celestial sphere. With refraction included, * consistency falls off at high zenith distances, but is still * better than 0.05 arcsec at 85 degrees. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param type char[] type of coordinates - "R", "H" or "A" (Notes 1,2) * @param ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) * @param ob2 double observed ZD or Dec (radians) * @param utc1 double UTC as a 2-part... * @param utc2 double ...quasi Julian Date (Notes 3,4) * @param dut1 double UT1-UTC (seconds, Note 5) * @param elong double longitude (radians, east +ve, Note 6) * @param phi double geodetic latitude (radians, Note 6) * @param hm double height above the ellipsoid (meters, Notes 6,8) * @param xp double polar motion coordinates (radians, Note 7) * @param yp double polar motion coordinates (radians, Note 7) * @param phpa double pressure at the observer (hPa = mB, Note 8) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers, Note 9) * * * @return ri double* Returned CIRS right ascension (CIO-based, radians) * di double* Returned CIRS declination (radians) * * @throws JSOFAInternalError an internal error has occured * @throws JSOFAIllegalParameter int status: Returned +1 = dubious year (Note 2) * 0 = Returned OK * -1 = Returned unacceptable date * *
Notes: *
However, JD cannot unambiguously represent UTC during a leap * second unless special measures are taken. The convention in the * present function is that the JD day represents UTC days whether * the length is 86399, 86400 or 86401 SI seconds. * *
Applications should use the function iauDtf2d to convert from * calendar date and time of day into 2-part quasi Julian Date, as * it implements the leap-second-ambiguity convention just * described. * *
hm = -29.3 * tsl * log ( phpa / 1013.25 ); * *
where tsl is the approximate sea-level air temperature in K * (See Astrophysical Quantities, C.W.Allen, 3rd edition, section * 52). Similarly, if the pressure phpa is not known, it can be * estimated from the height of the observing station, hm, as * follows: * *
phpa = 1013.25 * exp ( -hm / ( 29.3 * tsl ) ); * *
Note, however, that the refraction is nearly proportional to * the pressure and that an accurate phpa value is important for * precise work. * *
Without refraction, the complementary functions iauAtio13 and * iauAtoi13 are self-consistent to better than 1 microarcsecond * all over the celestial sphere. With refraction included, * consistency falls off at high zenith distances, but is still * better than 0.05 arcsec at 85 degrees. * *
Status: support function. * * * @param type char[] type of coordinates: "R", "H" or "A" (Note 1) * @param ob1 double observed Az, HA or RA (radians; Az is N=0,E=90) * @param ob2 double observed ZD or Dec (radians) * @param astrom star-independent astrometry parameters: * * * @return ri double* Returned CIRS right ascension (CIO-based, radians) * di double* Returned CIRS declination (radians) * *
Notes: *
Without refraction, the complementary functions iauAtioq and * iauAtoiq are self-consistent to better than 1 microarcsecond all * over the celestial sphere. With refraction included, consistency * falls off at high zenith distances, but is still better than * 0.05 arcsec at 85 degrees. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param bm double mass of the gravitating body (solar masses) * @param p double[3] direction from observer to source (unit vector) * @param q double[3] direction from body to source (unit vector) * @param e double[3] direction from body to observer (unit vector) * @param em double distance from body to observer (au) * @param dlim double deflection limiter (Note 4) * * * @return p1 double[3] Returned observer to deflected source (unit vector) * *
Notes: *
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * n int number of bodies (note 1) * b jauLDBODY[n] data for each of the n bodies (Notes 1,2): * bm double mass of the body (solar masses, Note 3) * dl double deflection limiter (Note 4) * pv [2][3] barycentric PV of the body (au, au/day) * ob double[3] barycentric position of the observer (au) * sc double[3] observer to star coord direction (unit vector) * * * sn double[3] observer to deflected star (unit vector) * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param p double[3] direction from observer to star (unit vector) * @param e double[3] direction from Sun to observer (unit vector) * @param em double distance from Sun to observer (au) * * * @return p1 double[3] Returned observer to deflected start (unit vector) * *
Notes: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param rc double ICRS RA,Dec at catalog epoch (radians) * @param dc double ICRS RA,Dec at catalog epoch (radians) * @param pr double RA proper motion (radians/year; Note 1) * @param pd double Dec proper motion (radians/year) * @param px double parallax (arcsec) * @param rv double radial velocity (km/s, +ve if receding) * @param pmt double proper motion time interval (SSB, Julian years) * @param pob double[3] SSB to observer vector (au) * * * @return pco double[3] Returned coordinate direction (BCRS unit vector) * *
Notes: *
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ra1 double right ascension (radians), before * @param dec1 double declination (radians), before * @param pmr1 double RA proper motion (radians/year), before * @param pmd1 double Dec proper motion (radians/year), before * @param px1 double parallax (arcseconds), before * @param rv1 double radial velocity (km/s, +ve = receding), before * @param ep1a double "before" epoch, part A (Note 1) * @param ep1b double "before" epoch, part B (Note 1) * @param ep2a double "after" epoch, part A (Note 1) * @param ep2b double "after" epoch, part B (Note 1) * * * @return ra2 double Returned right ascension (radians), after * dec2 double Returned declination (radians), after * pmr2 double Returned RA proper motion (radians/year), after * pmd2 double Returned Dec proper motion (radians/year), after * px2 double Returned parallax (arcseconds), after * rv2 double Returned radial velocity (km/s, +ve = receding), after * * * @throws JSOFAInternalError int status: * -1 = Returned system error (should not occur) * 0 = Returned no warnings or errors * 1 = Returned distance overridden (Note 6) * 2 = Returned excessive velocity (Note 7) * 4 = Returned solution didn't converge (Note 8) * else = Returned binary logical OR of the above warnings * *
Notes: *
epNa epNb * * 2450123.7 0.0 (JD method) * 2451545.0 -1421.3 (J2000 method) * 2400000.5 50123.2 (MJD method) * 2450123.5 0.2 (date & time method) * *
The JD method is the most natural and convenient to use in cases * where the loss of several decimal digits of resolution is * acceptable. The J2000 method is best matched to the way the * argument is handled internally and will deliver the optimum * resolution. The MJD method and the date & time methods are both * good compromises between resolution and convenience. * *
The proper motions are the rate of change of the right ascension * and declination at the catalog epoch and are in radians per TDB * Julian year. * *
The parallax and radial velocity are in the same frame. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param elong double longitude (radians, east +ve, Note 1) * @param phi double latitude (geodetic, radians, Note 1) * @param hm double height above ref. ellipsoid (geodetic, m) * @param xp double coordinates of the pole (radians, Note 2) * @param yp double coordinates of the pole (radians, Note 2) * @param sp double the TIO locator s' (radians, Note 2) * @param theta double Earth rotation angle (radians, Note 3) * * * @return pv double[2][3] Returned position/velocity vector (m, m/s, CIRS) * *
Notes: *
References: *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param phpa double pressure at the observer (hPa = millibar) * @param tc double ambient temperature at the observer (deg C) * @param rh double relative humidity at the observer (range 0-1) * @param wl double wavelength (micrometers) * * * @return Returned tan Z coefficient (radians) * Returned tan^3 Z coefficient (radians) * *
Notes: *
The model was tested using the following range of conditions: * *
lapse rates 0.0055, 0.0065, 0.0075 deg/meter * latitudes 0, 25, 50, 75 degrees * heights 0, 2500, 5000 meters ASL * pressures mean for height -10% to +5% in steps of 5% * temperatures -10 deg to +20 deg with respect to 280 deg at SL * relative humidity 0, 0.5, 1 * wavelengths 0.4, 0.6, ... 2 micron, + radio * zenith distances 15, 45, 75 degrees * *
The accuracy with respect to raytracing through a model * atmosphere was as follows: * *
worst RMS * *
optical/IR 62 mas 8 mas * radio 319 mas 49 mas * *
For this particular set of conditions: * *
lapse rate 0.0065 K/meter * latitude 50 degrees * sea level * pressure 1005 mb * temperature 280.15 K * humidity 80% * wavelength 5740 Angstroms * *
the results were as follows: * *
ZD raytrace iauRefco Saastamoinen * * 10 10.27 10.27 10.27 * 20 21.19 21.20 21.19 * 30 33.61 33.61 33.60 * 40 48.82 48.83 48.81 * 45 58.16 58.18 58.16 * 50 69.28 69.30 69.27 * 55 82.97 82.99 82.95 * 60 100.51 100.54 100.50 * 65 124.23 124.26 124.20 * 70 158.63 158.68 158.61 * 72 177.32 177.37 177.31 * 74 200.35 200.38 200.32 * 76 229.45 229.43 229.42 * 78 267.44 267.29 267.41 * 80 319.13 318.55 319.10 * *
deg arcsec arcsec arcsec * *
The values for Saastamoinen's formula (which includes terms * up to tan^5) are taken from Hohenkerk and Sinclair (1985). * *
a) The formula for the saturation vapour pressure of water as * a function of temperature and temperature is taken from * Equations (A4.5-A4.7) of Gill (1982). * *
b) The formula for the water vapour pressure, given the * saturation pressure and the relative humidity, is from * Crane (1976), Equation (2.5.5). * *
c) The refractivity of air is a function of temperature, * total pressure, water-vapour pressure and, in the case * of optical/IR, wavelength. The formulae for the two cases are * developed from Hohenkerk & Sinclair (1985) and Rueger (2002). * The IAG (1999) optical refractivity for dry air is used. * *
d) The formula for beta, the ratio of the scale height of the * atmosphere to the geocentric distance of the observer, is * an adaption of Equation (9) from Stone (1996). The * adaptations, arrived at empirically, consist of (i) a small * adjustment to the coefficient and (ii) a humidity term for the * radio case only. * *
e) The formulae for the refraction constants as a function of * n-1 and beta are from Green (1987), Equation (4.31). * *
References: *
Status: support routine. * * @param dl double galactic longitude (radians) * @param db double galactic latitude (radians) * * @return co ICRS right ascension, declination. * *
Notes:
Status: support routine. * * @param dr double ICRS right ascension (radians) * @param dd double ICRS declination (radians) * * @return co galactic longitude (radians), galactic latitude (radians) * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian date (Note 1) * @param date2 double TT as a 2-part Julian date (Note 1) * @param dl double ecliptic longitude and latitude (radians) * @param db double ecliptic longitude and latitude (radians) * * * @return double ICRS right ascension and declination (radians) * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian date (Note 1) * @param date2 double TT as a 2-part Julian date (Note 1) * * * @return double[3][3] ICRS to ecliptic rotation matrix * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param date1 double TT as a 2-part Julian date (Note 1) * @param date2 double TT as a 2-part Julian date (Note 1) * @param dr double ICRS right ascension and declination (radians) * @param dd double ICRS right ascension and declination (radians) * * * @return double ecliptic longitude and latitude (radians) *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * @param dl double ecliptic longitude and latitude (radians) * @param db double ecliptic longitude and latitude (radians) * * * @return double ICRS right ascension and declination (radians) *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * * * @return double[3][3] ICRS to ecliptic rotation matrix * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * @param dr double ICRS right ascension and declination (radians) * @param dd double ICRS right ascension and declination (radians) * * * @return ecliptic longitude and latitude (radians) *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * * * @return double[3][3] precession matrix, J2000.0 to date * *
Notes:
Vondrak, J., Capitaine, N. and Wallace, P., 2011, New precession * expressions, valid for long time intervals, Astron.Astrophys. 534, * A22 * *
Vondrak, J., Capitaine, N. and Wallace, P., 2012, New precession * expressions, valid for long time intervals (Corrigendum), * Astron.Astrophys. 541, C1 * * @version 2015 December 6 * * @since JSOFA release 20160503 * * */ public static double[][] jauLtp(double epj ) { double rp[][] = new double[3][3]; int i; /* Equator pole (bottom row of matrix). */ double peqr[] = jauLtpequ(epj); /* Ecliptic pole. */ double pecl[] = jauLtpecl(epj); /* Equinox (top row of matrix). */ double v[] = jauPxp(peqr, pecl); NormalizedVector nv = jauPn(v); /* Middle row of matrix. */ v = jauPxp(peqr, nv.u); /* Assemble the matrix. */ for ( i = 0; i < 3; i++ ) { rp[0][i] = nv.u[i]; rp[1][i] = v[i]; rp[2][i] = peqr[i]; } return rp; } /** * * Long-term precession matrix, including ICRS frame bias. * *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * * * @return double[3][3] precession-bias matrix, J2000.0 to date * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * * * @return double[3] ecliptic pole unit vector * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param epj double Julian epoch (TT) * * * @return double[3] equator pole unit vector * *
Notes:
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ha double hour angle (local) * @param dec double declination * @param phi double site latitude * * * @return az double azimuth * el double altitude (informally, elevation) * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param ha double hour angle * @param dec double declination * @param phi double site latitude * * @return double parallactic angle * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param xi double rectangular coordinates of star image (Note 2) * @param eta double rectangular coordinates of star image (Note 2) * @param a double star's spherical coordinates (Note 3) * @param b double star's spherical coordinates (Note 3) * * * @return tangent point's spherical coordinate solutions * * Returned (function value): * int number of solutions: * 0 = no solutions returned (Note 5) * 1 = only the first solution is useful (Note 6) * 2 = both solutions are useful (Note 6) * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param xi double rectangular coordinates of star image (Note 2) * @param eta double rectangular coordinates of star image (Note 2) * @param v double[3] star's direction cosines (Note 3) * * * @return tangent point's direction cosines, Solutions 1 & 2 * int number of solutions: * 0 = no solutions returned (Note 4) * 1 = only the first solution is useful (Note 5) * 2 = both solutions are useful (Note 5) * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param xi double rectangular coordinates of star image (Note 2) * @param eta double rectangular coordinates of star image (Note 2) * @param a0 double tangent point's spherical coordinates * @param b0 double tangent point's spherical coordinates * * * @return star's spherical coordinates *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param xi double rectangular coordinates of star image (Note 2) * @param eta double rectangular coordinates of star image (Note 2) * @param v0 double[3] tangent point's direction cosines * * * @return double[3] star's direction cosines *
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param a double star's spherical coordinates * @param b double star's spherical coordinates * @param a0 double tangent point's spherical coordinates * @param b0 double tangent point's spherical coordinates * * * @return rectangular coordinates of star image (Note 2) * int status: 0 = OK * 1 = star too far from axis * 2 = antistar on tangent plane * 3 = antistar too far from axis * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * *
Status: support function. * * * @param v double[3] direction cosines of star (Note 4) * @param v0 double[3] direction cosines of tangent point (Note 4) * * * @return tangent plane coordinates of star * int status: 0 = OK * 1 = star too far from axis * 2 = antistar on tangent plane * 3 = antistar too far from axis * *
Notes:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * * Status: support function. * * * (all B1950.0, FK4) * @param r1950 double B1950.0 RA (rad) * @param d1950 double B1950.0 Dec (rad) * @param dr1950 double B1950.0 proper motions (rad/trop.yr) * @param dd1950 double B1950.0 proper motions (rad/trop.yr) * @param p1950 double parallax (arcsec) * @param v1950 double radial velocity (km/s, +ve = moving away) * Returned: * * @return - catalogue coordinates (all J2000.0, FK5) * *
Notes:
References:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * Status: support function. * This function converts a star's catalog data from the old FK4 * (Bessel-Newcomb) system to the later IAU 1976 FK5 (Fricke) system, * in such a way that the FK5 proper motion is zero. Because such a * star has, in general, a non-zero proper motion in the FK4 system, * the routine requires the epoch at which the position in the FK4 * system was determined. * * * @param r1950 double B1950.0 FK4 RA at epoch (rad) * @param d1950 double B1950.0 FK4 Dec at epoch (rad) * @param bepoch double Besselian epoch (e.g. 1979.3) * * @return J2000.0 FK5 RA,Dec (rad) *
Notes:
References:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * Status: support function. * * @param r2000 double J2000.0 RA (rad) * @param d2000 double J2000.0 Dec (rad) * @param dr2000 double J2000.0 proper motions (rad/Jul.yr) * @param dd2000 double J2000.0 proper motions (rad/Jul.yr) * @param p2000 double parallax (arcsec) * @param v2000 double radial velocity (km/s, +ve = moving away) * * @return (all B1950.0, FK4) *
Notes:
References:
This function is derived from the International Astronomical Union's * SOFA (Standards of Fundamental Astronomy) software collection. * Status: support function. * @param r2000 double J2000.0 FK5 RA (rad) * @param d2000 double J2000.0 FK5 Dec (rad) * @param bepoch double Besselian epoch (e.g. 1950.0) * @return B1950.0 FK4 RA,Dec (rad) at epoch BEPOCH * *
Notes:
Status: support function. * *
n.b. Not IAU-endorsed and without canonical status. * * * @param date1 double TT date part A (Notes 1,4) * @param date2 double TT date part B (Notes 1,4) * * * @return pv double[2][3] Moon p,v, GCRS (AU, AU/d, Note 5) * *
Notes: *
References: *
Notes: *
Notes: *
serialVersionUID
*/
private static final long serialVersionUID = 4100437038026589596L;
/** Original JSOFA status value;
*/
private int status;
public int getStatus() {
return status;
}
public JSOFAException(String message, int status) {
super(message);
this.status = status;
}
}
/*
* $Log$
*/
jsofa-20210512_JSOFA_Release/src/main/java/org/jastronomy/jsofa/JSOFAFailedConvergenceException.java0000664 0000000 0000000 00000001360 14047515737 0033053 0 ustar 00root root 0000000 0000000 /*
* $Id$
*
* Created on 1 Feb 2010 by Paul Harrison (paul.harrison@manchester.ac.uk)
* Copyright 2010 Paul Harrison. All rights reserved.
*
* This software is published under the terms of the
* software license which has been included
* with this distribution in the LICENSE.txt file.
*
*/
package org.jastronomy.jsofa;
/**
* Exception reporting some form of convergence failure in an algorithm.
*/
public class JSOFAFailedConvergenceException extends JSOFAException {
/** Comment for serialVersionUID
*/
private static final long serialVersionUID = 4417087001300889769L;
public JSOFAFailedConvergenceException(String message, int status) {
super(message, status);
}
}
/*
* $Log$
*/
jsofa-20210512_JSOFA_Release/src/main/java/org/jastronomy/jsofa/JSOFAIllegalParameter.java 0000664 0000000 0000000 00000001506 14047515737 0031045 0 ustar 00root root 0000000 0000000 /*
* $Id$
*
* Created on 1 Feb 2010 by Paul Harrison (paul.harrison@manchester.ac.uk)
* Copyright 2010 Paul Harrison. All rights reserved.
*
* This software is published under the terms of the
* software license which has been included
* with this distribution in the LICENSE.txt file.
*
*/
package org.jastronomy.jsofa;
/**
* Various forms of illegal parameters are reported with this execption.
* .
* @author Paul Harrison (paul.harrison@manchester.ac.uk) 21 Nov 2011
* @version $Revision$ $date$
*/
public class JSOFAIllegalParameter extends JSOFAException {
/** Comment for serialVersionUID
*/
private static final long serialVersionUID = 4164536110692125140L;
public JSOFAIllegalParameter(String message, int status) {
super(message, status);
}
}
/*
* $Log$
*/
jsofa-20210512_JSOFA_Release/src/main/java/org/jastronomy/jsofa/JSOFAInternalError.java 0000664 0000000 0000000 00000001440 14047515737 0030416 0 ustar 00root root 0000000 0000000 /*
* $Id$
*
* Created on 1 Feb 2010 by Paul Harrison (paul.harrison@manchester.ac.uk)
* Copyright 2010 Paul Harrison. All rights reserved.
*
* This software is published under the terms of the
* software license which has been included
* with this distribution in the LICENSE.txt file.
*
*/
package org.jastronomy.jsofa;
/**
* Exception signalling a internal error.
* .
* @author Paul Harrison (paul.harrison@manchester.ac.uk) 21 Nov 2011
* @version $Revision$ $date$
*/
public class JSOFAInternalError extends JSOFAException {
/** Comment for serialVersionUID
*/
private static final long serialVersionUID = 6067803703985219165L;
public JSOFAInternalError(String message, int status) {
super(message, status);
}
}
/*
* $Log$
*/
jsofa-20210512_JSOFA_Release/src/main/java/org/jastronomy/jsofa/package-info.java 0000664 0000000 0000000 00000074714 14047515737 0027407 0 ustar 00root root 0000000 0000000 /**
* This software is a translation of the official C SOFA software package. http://www.iausofa.org/. The translation was done
* by hand with the intention of retaining the structure of the original software as far as possible. This means that the original JSOFA C functions are translated to static member functions of
* the main {@link org.jastronomy.jsofa.JSOFA} class.
*
* The translation was originally made from the 2010-12-01 release of the JSOFA Library for ANSI C. Any updates to this software
* have been be made by incremental changes in the original source.
*
* The current software (version @value org.jastronomy.jsofa.JSOFA#JSOFA_RELEASE}) is based on SOFA version {@value org.jastronomy.jsofa.JSOFA#SOFA_RELEASE} revision {@value org.jastronomy.jsofa.JSOFA#SOFA_REVISION}
*
* This javadoc provides a detailed manual on how to use each function - there are also some cookbooks on the IAU SOFA site which can
* also be used to discover how to use the library bearing in mind the changes outlined below.
*
*Notable API changes from the original include: *
There are a number of features of the java translation *
* Copyright © 2019 Paul Harrison, University of Manchester.
*
* This JSOFA software is derived from the official C release of the "Standards Of Fundamental Astronomy" (SOFA) library
* of the International Astronomical Union. The intention is to reproduce the functionality and algorithms of
* the official SOFA library in a pure Java form.
*
* The responsibility for the maintenance and supply of the JSOFA library lies with the author (not the IAU SOFA Board).
* However, The JSOFA software is provided "as is" and the author makes no warranty as to its use or performance.
* The author does not and cannot warrant the performance or results which the user may obtain by using the JSOFA software.
* The author makes no warranties, express or implied, as to non-infringement of third party rights, merchantability,
* or fitness for any particular purpose. In no event will the author be liable to the user for any consequential,
* incidental, or special damages, including any lost profits or lost savings, even if the author has been advised
* of such damages, or for any claim by any third party.
*
* Other conditions of the original license (reproduced below) are carried over as applicable.
*
*+----------------------------------------------------------------------
*
* Copyright (C) 2019
* Standards Of Fundamental Astronomy Board
* of the International Astronomical Union.
*
* =====================
* SOFA Software License
* =====================
*
* NOTICE TO USER:
*
* BY USING THIS SOFTWARE YOU ACCEPT THE FOLLOWING SIX TERMS AND
* CONDITIONS WHICH APPLY TO ITS USE.
*
* 1. The Software is owned by the IAU SOFA Board ("SOFA").
*
* 2. Permission is granted to anyone to use the SOFA software for any
* purpose, including commercial applications, free of charge and
* without payment of royalties, subject to the conditions and
* restrictions listed below.
*
* 3. You (the user) may copy and distribute SOFA source code to others,
* and use and adapt its code and algorithms in your own software,
* on a world-wide, royalty-free basis. That portion of your
* distribution that does not consist of intact and unchanged copies
* of SOFA source code files is a "derived work" that must comply
* with the following requirements:
*
* a) Your work shall be marked or carry a statement that it
* (i) uses routines and computations derived by you from
* software provided by SOFA under license to you; and
* (ii) does not itself constitute software provided by and/or
* endorsed by SOFA.
*
* b) The source code of your derived work must contain descriptions
* of how the derived work is based upon, contains and/or differs
* from the original SOFA software.
*
* c) The names of all routines in your derived work shall not
* include the prefix "iau" or "sofa" or trivial modifications
* thereof such as changes of case.
*
* d) The origin of the SOFA components of your derived work must
* not be misrepresented; you must not claim that you wrote the
* original software, nor file a patent application for SOFA
* software or algorithms embedded in the SOFA software.
*
* e) These requirements must be reproduced intact in any source
* distribution and shall apply to anyone to whom you have
* granted a further right to modify the source code of your
* derived work.
*
* Note that, as originally distributed, the SOFA software is
* intended to be a definitive implementation of the IAU standards,
* and consequently third-party modifications are discouraged. All
* variations, no matter how minor, must be explicitly marked as
* such, as explained above.
*
* 4. You shall not cause the SOFA software to be brought into
* disrepute, either by misuse, or use for inappropriate tasks, or
* by inappropriate modification.
*
* 5. The SOFA software is provided "as is" and SOFA makes no warranty
* as to its use or performance. SOFA does not and cannot warrant
* the performance or results which the user may obtain by using the
* SOFA software. SOFA makes no warranties, express or implied, as
* to non-infringement of third party rights, merchantability, or
* fitness for any particular purpose. In no event will SOFA be
* liable to the user for any consequential, incidental, or special
* damages, including any lost profits or lost savings, even if a
* SOFA representative has been advised of such damages, or for any
* claim by any third party.
*
* 6. The provision of any version of the SOFA software under the terms
* and conditions specified herein does not imply that future
* versions will also be made available under the same terms and
* conditions.
*
* In any published work or commercial product which uses the SOFA
* software directly, acknowledgement (see www.iausofa.org) is
* appreciated.
*
* Correspondence concerning SOFA software should be addressed as
* follows:
*
* By email: sofa@ukho.gov.uk
* By post: IAU SOFA Center
* HM Nautical Almanac Office
* UK Hydrographic Office
* Admiralty Way, Taunton
* Somerset, TA1 2DN
* United Kingdom
*
*-----------------------------------------------------------------------
*
**/
package org.jastronomy.jsofa;
jsofa-20210512_JSOFA_Release/src/site/ 0000775 0000000 0000000 00000000000 14047515737 0017204 5 ustar 00root root 0000000 0000000 jsofa-20210512_JSOFA_Release/src/site/apt/ 0000775 0000000 0000000 00000000000 14047515737 0017770 5 ustar 00root root 0000000 0000000 jsofa-20210512_JSOFA_Release/src/site/apt/deploying.apt 0000664 0000000 0000000 00000001552 14047515737 0022473 0 ustar 00root root 0000000 0000000 -----
Deploying JSOFA
-----
Paul Harrison
-----
Deploying JSOFA
The JSOFA software is built with maven and is deployed to the maven central
repository using the {{{http://central.sonatype.org/pages/apache-maven.html}following instructions}}
summarized below.
Check that the build and tests are passed
+---+
mvn clean install
+---+
then deploy to the staging repository
+---+
mvn deploy -P release
+---+
if this is successful then
+---+
mvn nexus-staging:release -P release
+---+
will release to the central repository
* Deploying the site
The maven site is now deployed to {{https://javastro.github.com/jsofa/}}
+---+
mvn site
+---+
will create the site to test that it is ok - then to deploy
+---+
./ghsite.sh
+---+
will prepare site ready for git push in a temporary directory - follow the commands suggested
jsofa-20210512_JSOFA_Release/src/site/apt/index.apt.vm 0000664 0000000 0000000 00000002105 14047515737 0022224 0 ustar 00root root 0000000 0000000 -----
JSOFA
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Paul Harrison
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JSOFA
The JSOFA software is a pure Java translation of the International
Astronomical Union's C SOFA software library (version ${project.version}) at {{http://www.iausofa.org/}}.
For more information on using please read the {{{./apidocs/org/jastronomy/jsofa/package-summary.html#package.description}javadoc}} overview.
A jar (Java version 1.8) of the software can be obtained from the {{{http://central.sonatype.org/}Central Maven repository}} directly by clicking the links in the sidebar
and if using maven as a
build tool by including the following in the POM
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