| 1 | #include "erfa.h"
|
|---|
| 2 |
|
|---|
| 3 | double eraGst00a(double uta, double utb, double tta, double ttb)
|
|---|
| 4 | /*
|
|---|
| 5 | ** - - - - - - - - - -
|
|---|
| 6 | ** e r a G s t 0 0 a
|
|---|
| 7 | ** - - - - - - - - - -
|
|---|
| 8 | **
|
|---|
| 9 | ** Greenwich apparent sidereal time (consistent with IAU 2000
|
|---|
| 10 | ** resolutions).
|
|---|
| 11 | **
|
|---|
| 12 | ** Given:
|
|---|
| 13 | ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
|
|---|
| 14 | ** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
|
|---|
| 15 | **
|
|---|
| 16 | ** Returned (function value):
|
|---|
| 17 | ** double Greenwich apparent sidereal time (radians)
|
|---|
| 18 | **
|
|---|
| 19 | ** Notes:
|
|---|
| 20 | **
|
|---|
| 21 | ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
|
|---|
| 22 | ** Julian Dates, apportioned in any convenient way between the
|
|---|
| 23 | ** argument pairs. For example, JD=2450123.7 could be expressed in
|
|---|
| 24 | ** any of these ways, among others:
|
|---|
| 25 | **
|
|---|
| 26 | ** Part A Part B
|
|---|
| 27 | **
|
|---|
| 28 | ** 2450123.7 0.0 (JD method)
|
|---|
| 29 | ** 2451545.0 -1421.3 (J2000 method)
|
|---|
| 30 | ** 2400000.5 50123.2 (MJD method)
|
|---|
| 31 | ** 2450123.5 0.2 (date & time method)
|
|---|
| 32 | **
|
|---|
| 33 | ** The JD method is the most natural and convenient to use in
|
|---|
| 34 | ** cases where the loss of several decimal digits of resolution
|
|---|
| 35 | ** is acceptable (in the case of UT; the TT is not at all critical
|
|---|
| 36 | ** in this respect). The J2000 and MJD methods are good compromises
|
|---|
| 37 | ** between resolution and convenience. For UT, the date & time
|
|---|
| 38 | ** method is best matched to the algorithm that is used by the Earth
|
|---|
| 39 | ** Rotation Angle function, called internally: maximum precision is
|
|---|
| 40 | ** delivered when the uta argument is for 0hrs UT1 on the day in
|
|---|
| 41 | ** question and the utb argument lies in the range 0 to 1, or vice
|
|---|
| 42 | ** versa.
|
|---|
| 43 | **
|
|---|
| 44 | ** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
|
|---|
| 45 | ** and TT to predict the effects of precession-nutation. If UT1 is
|
|---|
| 46 | ** used for both purposes, errors of order 100 microarcseconds
|
|---|
| 47 | ** result.
|
|---|
| 48 | **
|
|---|
| 49 | ** 3) This GAST is compatible with the IAU 2000 resolutions and must be
|
|---|
| 50 | ** used only in conjunction with other IAU 2000 compatible
|
|---|
| 51 | ** components such as precession-nutation.
|
|---|
| 52 | **
|
|---|
| 53 | ** 4) The result is returned in the range 0 to 2pi.
|
|---|
| 54 | **
|
|---|
| 55 | ** 5) The algorithm is from Capitaine et al. (2003) and IERS
|
|---|
| 56 | ** Conventions 2003.
|
|---|
| 57 | **
|
|---|
| 58 | ** Called:
|
|---|
| 59 | ** eraGmst00 Greenwich mean sidereal time, IAU 2000
|
|---|
| 60 | ** eraEe00a equation of the equinoxes, IAU 2000A
|
|---|
| 61 | ** eraAnp normalize angle into range 0 to 2pi
|
|---|
| 62 | **
|
|---|
| 63 | ** References:
|
|---|
| 64 | **
|
|---|
| 65 | ** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
|
|---|
| 66 | ** implement the IAU 2000 definition of UT1", Astronomy &
|
|---|
| 67 | ** Astrophysics, 406, 1135-1149 (2003)
|
|---|
| 68 | **
|
|---|
| 69 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
|
|---|
| 70 | ** IERS Technical Note No. 32, BKG (2004)
|
|---|
| 71 | **
|
|---|
| 72 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 73 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
|---|
| 74 | */
|
|---|
| 75 | {
|
|---|
| 76 | double gmst00, ee00a, gst;
|
|---|
| 77 |
|
|---|
| 78 |
|
|---|
| 79 | gmst00 = eraGmst00(uta, utb, tta, ttb);
|
|---|
| 80 | ee00a = eraEe00a(tta, ttb);
|
|---|
| 81 | gst = eraAnp(gmst00 + ee00a);
|
|---|
| 82 |
|
|---|
| 83 | return gst;
|
|---|
| 84 |
|
|---|
| 85 | }
|
|---|
| 86 | /*----------------------------------------------------------------------
|
|---|
| 87 | **
|
|---|
| 88 | **
|
|---|
| 89 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 90 | ** All rights reserved.
|
|---|
| 91 | **
|
|---|
| 92 | ** This library is derived, with permission, from the International
|
|---|
| 93 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
|---|
| 94 | ** available from http://www.iausofa.org.
|
|---|
| 95 | **
|
|---|
| 96 | ** The ERFA version is intended to retain identical functionality to
|
|---|
| 97 | ** the SOFA library, but made distinct through different function and
|
|---|
| 98 | ** file names, as set out in the SOFA license conditions. The SOFA
|
|---|
| 99 | ** original has a role as a reference standard for the IAU and IERS,
|
|---|
| 100 | ** and consequently redistribution is permitted only in its unaltered
|
|---|
| 101 | ** state. The ERFA version is not subject to this restriction and
|
|---|
| 102 | ** therefore can be included in distributions which do not support the
|
|---|
| 103 | ** concept of "read only" software.
|
|---|
| 104 | **
|
|---|
| 105 | ** Although the intent is to replicate the SOFA API (other than
|
|---|
| 106 | ** replacement of prefix names) and results (with the exception of
|
|---|
| 107 | ** bugs; any that are discovered will be fixed), SOFA is not
|
|---|
| 108 | ** responsible for any errors found in this version of the library.
|
|---|
| 109 | **
|
|---|
| 110 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
|---|
| 111 | ** that you are using a library derived from SOFA, rather than SOFA
|
|---|
| 112 | ** itself.
|
|---|
| 113 | **
|
|---|
| 114 | **
|
|---|
| 115 | ** TERMS AND CONDITIONS
|
|---|
| 116 | **
|
|---|
| 117 | ** Redistribution and use in source and binary forms, with or without
|
|---|
| 118 | ** modification, are permitted provided that the following conditions
|
|---|
| 119 | ** are met:
|
|---|
| 120 | **
|
|---|
| 121 | ** 1 Redistributions of source code must retain the above copyright
|
|---|
| 122 | ** notice, this list of conditions and the following disclaimer.
|
|---|
| 123 | **
|
|---|
| 124 | ** 2 Redistributions in binary form must reproduce the above copyright
|
|---|
| 125 | ** notice, this list of conditions and the following disclaimer in
|
|---|
| 126 | ** the documentation and/or other materials provided with the
|
|---|
| 127 | ** distribution.
|
|---|
| 128 | **
|
|---|
| 129 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
|---|
| 130 | ** the International Astronomical Union nor the names of its
|
|---|
| 131 | ** contributors may be used to endorse or promote products derived
|
|---|
| 132 | ** from this software without specific prior written permission.
|
|---|
| 133 | **
|
|---|
| 134 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|---|
| 135 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
|---|
| 136 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
|---|
| 137 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
|---|
| 138 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
|---|
| 139 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
|---|
| 140 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|---|
| 141 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
|---|
| 142 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|---|
| 143 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
|---|
| 144 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|---|
| 145 | ** POSSIBILITY OF SUCH DAMAGE.
|
|---|
| 146 | **
|
|---|
| 147 | */
|
|---|