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Diffstat (limited to 'ast/erfa/s00.c')
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diff --git a/ast/erfa/s00.c b/ast/erfa/s00.c deleted file mode 100644 index 82d0a5f..0000000 --- a/ast/erfa/s00.c +++ /dev/null @@ -1,380 +0,0 @@ -#include "erfa.h" - -double eraS00(double date1, double date2, double x, double y) -/* -** - - - - - - - -** e r a S 0 0 -** - - - - - - - -** -** 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 2000A precession-nutation. -** -** Given: -** date1,date2 double TT as a 2-part Julian Date (Note 1) -** x,y double CIP coordinates (Note 3) -** -** Returned (function value): -** double the CIO locator s in radians (Note 2) -** -** Notes: -** -** 1) The TT 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. -** -** 2) The CIO locator s is the difference between the right ascensions -** of the same point in two systems: the two systems are the GCRS -** and the CIP,CIO, and the point is the ascending node of the -** CIP equator. The quantity s remains below 0.1 arcsecond -** throughout 1900-2100. -** -** 3) The series used to compute s is in fact for s+XY/2, where X and Y -** are the x and y components of the CIP unit vector; this series -** is more compact than a direct series for s would be. This -** function requires X,Y to be supplied by the caller, who is -** responsible for providing values that are consistent with the -** supplied date. -** -** 4) The model is consistent with the IAU 2000A precession-nutation. -** -** Called: -** eraFal03 mean anomaly of the Moon -** eraFalp03 mean anomaly of the Sun -** eraFaf03 mean argument of the latitude of the Moon -** eraFad03 mean elongation of the Moon from the Sun -** eraFaom03 mean longitude of the Moon's ascending node -** eraFave03 mean longitude of Venus -** eraFae03 mean longitude of Earth -** eraFapa03 general accumulated precession in longitude -** -** 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) -** -** Copyright (C) 2013-2016, NumFOCUS Foundation. -** Derived, with permission, from the SOFA library. See notes at end of file. -*/ -{ -/* 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[8]; - -/* Returned value */ - double s; - -/* --------------------- */ -/* The series for s+XY/2 */ -/* --------------------- */ - - typedef struct { - int nfa[8]; /* coefficients of l,l',F,D,Om,LVe,LE,pA */ - double s, c; /* sine and cosine coefficients */ - } TERM; - -/* Polynomial coefficients */ - static const 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 */ - static const TERM s0[] = { - - /* 1-10 */ - {{ 0, 0, 0, 0, 1, 0, 0, 0}, -2640.73e-6, 0.39e-6 }, - {{ 0, 0, 0, 0, 2, 0, 0, 0}, -63.53e-6, 0.02e-6 }, - {{ 0, 0, 2, -2, 3, 0, 0, 0}, -11.75e-6, -0.01e-6 }, - {{ 0, 0, 2, -2, 1, 0, 0, 0}, -11.21e-6, -0.01e-6 }, - {{ 0, 0, 2, -2, 2, 0, 0, 0}, 4.57e-6, 0.00e-6 }, - {{ 0, 0, 2, 0, 3, 0, 0, 0}, -2.02e-6, 0.00e-6 }, - {{ 0, 0, 2, 0, 1, 0, 0, 0}, -1.98e-6, 0.00e-6 }, - {{ 0, 0, 0, 0, 3, 0, 0, 0}, 1.72e-6, 0.00e-6 }, - {{ 0, 1, 0, 0, 1, 0, 0, 0}, 1.41e-6, 0.01e-6 }, - {{ 0, 1, 0, 0, -1, 0, 0, 0}, 1.26e-6, 0.01e-6 }, - - /* 11-20 */ - {{ 1, 0, 0, 0, -1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, - {{ 1, 0, 0, 0, 1, 0, 0, 0}, 0.63e-6, 0.00e-6 }, - {{ 0, 1, 2, -2, 3, 0, 0, 0}, -0.46e-6, 0.00e-6 }, - {{ 0, 1, 2, -2, 1, 0, 0, 0}, -0.45e-6, 0.00e-6 }, - {{ 0, 0, 4, -4, 4, 0, 0, 0}, -0.36e-6, 0.00e-6 }, - {{ 0, 0, 1, -1, 1, -8, 12, 0}, 0.24e-6, 0.12e-6 }, - {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.32e-6, 0.00e-6 }, - {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.28e-6, 0.00e-6 }, - {{ 1, 0, 2, 0, 3, 0, 0, 0}, -0.27e-6, 0.00e-6 }, - {{ 1, 0, 2, 0, 1, 0, 0, 0}, -0.26e-6, 0.00e-6 }, - - /* 21-30 */ - {{ 0, 0, 2, -2, 0, 0, 0, 0}, 0.21e-6, 0.00e-6 }, - {{ 0, 1, -2, 2, -3, 0, 0, 0}, -0.19e-6, 0.00e-6 }, - {{ 0, 1, -2, 2, -1, 0, 0, 0}, -0.18e-6, 0.00e-6 }, - {{ 0, 0, 0, 0, 0, 8,-13, -1}, 0.10e-6, -0.05e-6 }, - {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.15e-6, 0.00e-6 }, - {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.14e-6, 0.00e-6 }, - {{ 0, 1, 2, -2, 2, 0, 0, 0}, 0.14e-6, 0.00e-6 }, - {{ 1, 0, 0, -2, 1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, - {{ 1, 0, 0, -2, -1, 0, 0, 0}, -0.14e-6, 0.00e-6 }, - {{ 0, 0, 4, -2, 4, 0, 0, 0}, -0.13e-6, 0.00e-6 }, - - /* 31-33 */ - {{ 0, 0, 2, -2, 4, 0, 0, 0}, 0.11e-6, 0.00e-6 }, - {{ 1, 0, -2, 0, -3, 0, 0, 0}, -0.11e-6, 0.00e-6 }, - {{ 1, 0, -2, 0, -1, 0, 0, 0}, -0.11e-6, 0.00e-6 } - }; - -/* Terms of order t^1 */ - static const TERM s1[] ={ - - /* 1-3 */ - {{ 0, 0, 0, 0, 2, 0, 0, 0}, -0.07e-6, 3.57e-6 }, - {{ 0, 0, 0, 0, 1, 0, 0, 0}, 1.71e-6, -0.03e-6 }, - {{ 0, 0, 2, -2, 3, 0, 0, 0}, 0.00e-6, 0.48e-6 } - }; - -/* Terms of order t^2 */ - static const TERM s2[] ={ - - /* 1-10 */ - {{ 0, 0, 0, 0, 1, 0, 0, 0}, 743.53e-6, -0.17e-6 }, - {{ 0, 0, 2, -2, 2, 0, 0, 0}, 56.91e-6, 0.06e-6 }, - {{ 0, 0, 2, 0, 2, 0, 0, 0}, 9.84e-6, -0.01e-6 }, - {{ 0, 0, 0, 0, 2, 0, 0, 0}, -8.85e-6, 0.01e-6 }, - {{ 0, 1, 0, 0, 0, 0, 0, 0}, -6.38e-6, -0.05e-6 }, - {{ 1, 0, 0, 0, 0, 0, 0, 0}, -3.07e-6, 0.00e-6 }, - {{ 0, 1, 2, -2, 2, 0, 0, 0}, 2.23e-6, 0.00e-6 }, - {{ 0, 0, 2, 0, 1, 0, 0, 0}, 1.67e-6, 0.00e-6 }, - {{ 1, 0, 2, 0, 2, 0, 0, 0}, 1.30e-6, 0.00e-6 }, - {{ 0, 1, -2, 2, -2, 0, 0, 0}, 0.93e-6, 0.00e-6 }, - - /* 11-20 */ - {{ 1, 0, 0, -2, 0, 0, 0, 0}, 0.68e-6, 0.00e-6 }, - {{ 0, 0, 2, -2, 1, 0, 0, 0}, -0.55e-6, 0.00e-6 }, - {{ 1, 0, -2, 0, -2, 0, 0, 0}, 0.53e-6, 0.00e-6 }, - {{ 0, 0, 0, 2, 0, 0, 0, 0}, -0.27e-6, 0.00e-6 }, - {{ 1, 0, 0, 0, 1, 0, 0, 0}, -0.27e-6, 0.00e-6 }, - {{ 1, 0, -2, -2, -2, 0, 0, 0}, -0.26e-6, 0.00e-6 }, - {{ 1, 0, 0, 0, -1, 0, 0, 0}, -0.25e-6, 0.00e-6 }, - {{ 1, 0, 2, 0, 1, 0, 0, 0}, 0.22e-6, 0.00e-6 }, - {{ 2, 0, 0, -2, 0, 0, 0, 0}, -0.21e-6, 0.00e-6 }, - {{ 2, 0, -2, 0, -1, 0, 0, 0}, 0.20e-6, 0.00e-6 }, - - /* 21-25 */ - {{ 0, 0, 2, 2, 2, 0, 0, 0}, 0.17e-6, 0.00e-6 }, - {{ 2, 0, 2, 0, 2, 0, 0, 0}, 0.13e-6, 0.00e-6 }, - {{ 2, 0, 0, 0, 0, 0, 0, 0}, -0.13e-6, 0.00e-6 }, - {{ 1, 0, 2, -2, 2, 0, 0, 0}, -0.12e-6, 0.00e-6 }, - {{ 0, 0, 2, 0, 0, 0, 0, 0}, -0.11e-6, 0.00e-6 } - }; - -/* Terms of order t^3 */ - static const TERM s3[] ={ - - /* 1-4 */ - {{ 0, 0, 0, 0, 1, 0, 0, 0}, 0.30e-6, -23.51e-6 }, - {{ 0, 0, 2, -2, 2, 0, 0, 0}, -0.03e-6, -1.39e-6 }, - {{ 0, 0, 2, 0, 2, 0, 0, 0}, -0.01e-6, -0.24e-6 }, - {{ 0, 0, 0, 0, 2, 0, 0, 0}, 0.00e-6, 0.22e-6 } - }; - -/* Terms of order t^4 */ - static const TERM s4[] ={ - - /* 1-1 */ - {{ 0, 0, 0, 0, 1, 0, 0, 0}, -0.26e-6, -0.01e-6 } - }; - -/* Number of terms in the series */ - const int NS0 = (int) (sizeof s0 / sizeof (TERM)); - const int NS1 = (int) (sizeof s1 / sizeof (TERM)); - const int NS2 = (int) (sizeof s2 / sizeof (TERM)); - const int NS3 = (int) (sizeof s3 / sizeof (TERM)); - const int NS4 = (int) (sizeof s4 / sizeof (TERM)); - -/*--------------------------------------------------------------------*/ - -/* Interval between fundamental epoch J2000.0 and current date (JC). */ - t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC; - -/* Fundamental Arguments (from IERS Conventions 2003) */ - -/* Mean anomaly of the Moon. */ - fa[0] = eraFal03(t); - -/* Mean anomaly of the Sun. */ - fa[1] = eraFalp03(t); - -/* Mean longitude of the Moon minus that of the ascending node. */ - fa[2] = eraFaf03(t); - -/* Mean elongation of the Moon from the Sun. */ - fa[3] = eraFad03(t); - -/* Mean longitude of the ascending node of the Moon. */ - fa[4] = eraFaom03(t); - -/* Mean longitude of Venus. */ - fa[5] = eraFave03(t); - -/* Mean longitude of Earth. */ - fa[6] = eraFae03(t); - -/* General precession in longitude. */ - fa[7] = eraFapa03(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) * ERFA_DAS2R - x*y/2.0; - - return s; - -} -/*---------------------------------------------------------------------- -** -** -** Copyright (C) 2013-2016, NumFOCUS Foundation. -** All rights reserved. -** -** This library is derived, with permission, from the International -** Astronomical Union's "Standards of Fundamental Astronomy" library, -** available from http://www.iausofa.org. -** -** The ERFA version is intended to retain identical functionality to -** the SOFA library, but made distinct through different function and -** file names, as set out in the SOFA license conditions. The SOFA -** original has a role as a reference standard for the IAU and IERS, -** and consequently redistribution is permitted only in its unaltered -** state. The ERFA version is not subject to this restriction and -** therefore can be included in distributions which do not support the -** concept of "read only" software. -** -** Although the intent is to replicate the SOFA API (other than -** replacement of prefix names) and results (with the exception of -** bugs; any that are discovered will be fixed), SOFA is not -** responsible for any errors found in this version of the library. -** -** If you wish to acknowledge the SOFA heritage, please acknowledge -** that you are using a library derived from SOFA, rather than SOFA -** itself. -** -** -** TERMS AND CONDITIONS -** -** Redistribution and use in source and binary forms, with or without -** modification, are permitted provided that the following conditions -** are met: -** -** 1 Redistributions of source code must retain the above copyright -** notice, this list of conditions and the following disclaimer. -** -** 2 Redistributions in binary form must reproduce the above copyright -** notice, this list of conditions and the following disclaimer in -** the documentation and/or other materials provided with the -** distribution. -** -** 3 Neither the name of the Standards Of Fundamental Astronomy Board, -** the International Astronomical Union nor the names of its -** contributors may be used to endorse or promote products derived -** from this software without specific prior written permission. -** -** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -** POSSIBILITY OF SUCH DAMAGE. -** -*/ |