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authorWilliam Joye <wjoye@cfa.harvard.edu>2016-11-02 19:11:06 (GMT)
committerWilliam Joye <wjoye@cfa.harvard.edu>2016-11-02 19:11:06 (GMT)
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-#include "erfa.h"
-
-double eraGmst82(double dj1, double dj2)
-/*
-** - - - - - - - - - -
-** e r a G m s t 8 2
-** - - - - - - - - - -
-**
-** Universal Time to Greenwich mean sidereal time (IAU 1982 model).
-**
-** Given:
-** dj1,dj2 double UT1 Julian Date (see note)
-**
-** Returned (function value):
-** double Greenwich mean sidereal time (radians)
-**
-** Notes:
-**
-** 1) The UT1 date dj1+dj2 is a Julian Date, apportioned in any
-** convenient way between the arguments dj1 and dj2. For example,
-** JD(UT1)=2450123.7 could be expressed in any of these ways,
-** among others:
-**
-** dj1 dj2
-**
-** 2450123.7 0 (JD method)
-** 2451545 -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 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.
-**
-** 2) The algorithm is based on the IAU 1982 expression. This is
-** always described as giving the GMST at 0 hours UT1. In fact, it
-** gives the difference between the GMST and the UT, the steady
-** 4-minutes-per-day drawing-ahead of ST with respect to UT. When
-** whole days are ignored, the expression happens to equal the GMST
-** at 0 hours UT1 each day.
-**
-** 3) In this function, the entire UT1 (the sum of the two arguments
-** dj1 and dj2) is used directly as the argument for the standard
-** formula, the constant term of which is adjusted by 12 hours to
-** take account of the noon phasing of Julian Date. The UT1 is then
-** added, but omitting whole days to conserve accuracy.
-**
-** Called:
-** eraAnp normalize angle into range 0 to 2pi
-**
-** References:
-**
-** Transactions of the International Astronomical Union,
-** XVIII B, 67 (1983).
-**
-** Aoki et al., Astron. Astrophys. 105, 359-361 (1982).
-**
-** Copyright (C) 2013-2014, NumFOCUS Foundation.
-** Derived, with permission, from the SOFA library. See notes at end of file.
-*/
-{
-/* Coefficients of IAU 1982 GMST-UT1 model */
- double A = 24110.54841 - ERFA_DAYSEC / 2.0;
- double B = 8640184.812866;
- double C = 0.093104;
- double D = -6.2e-6;
-
-/* Note: 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 - ERFA_DJ00)) / ERFA_DJC;
-
-/* Fractional part of JD(UT1), in seconds. */
- f = ERFA_DAYSEC * (fmod(d1, 1.0) + fmod(d2, 1.0));
-
-/* GMST at this UT1. */
- gmst = eraAnp(ERFA_DS2R * ((A + (B + (C + D * t) * t) * t) + f));
-
- return gmst;
-
-}
-/*----------------------------------------------------------------------
-**
-**
-** Copyright (C) 2013-2014, 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.
-**
-*/