| 1 | #include "erfa.h"
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| 2 |
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| 3 | double eraGst94(double uta, double utb)
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| 4 | /*
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| 5 | ** - - - - - - - - -
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| 6 | ** e r a G s t 9 4
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| 7 | ** - - - - - - - - -
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| 8 | **
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| 9 | ** Greenwich apparent sidereal time (consistent with IAU 1982/94
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| 10 | ** resolutions).
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| 11 | **
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| 12 | ** Given:
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| 13 | ** uta,utb double UT1 as a 2-part Julian Date (Notes 1,2)
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| 14 | **
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| 15 | ** Returned (function value):
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| 16 | ** double Greenwich apparent sidereal time (radians)
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| 17 | **
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| 18 | ** Notes:
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| 19 | **
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| 20 | ** 1) The UT1 date uta+utb is a Julian Date, apportioned in any
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| 21 | ** convenient way between the argument pair. For example,
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| 22 | ** JD=2450123.7 could be expressed in any of these ways, among
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| 23 | ** others:
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| 24 | **
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| 25 | ** uta utb
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| 26 | **
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| 27 | ** 2450123.7 0.0 (JD method)
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| 28 | ** 2451545.0 -1421.3 (J2000 method)
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| 29 | ** 2400000.5 50123.2 (MJD method)
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| 30 | ** 2450123.5 0.2 (date & time method)
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| 31 | **
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| 32 | ** The JD method is the most natural and convenient to use in cases
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| 33 | ** where the loss of several decimal digits of resolution is
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| 34 | ** acceptable. The J2000 and MJD methods are good compromises
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| 35 | ** between resolution and convenience. For UT, the date & time
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| 36 | ** method is best matched to the algorithm that is used by the Earth
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| 37 | ** Rotation Angle function, called internally: maximum precision is
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| 38 | ** delivered when the uta argument is for 0hrs UT1 on the day in
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| 39 | ** question and the utb argument lies in the range 0 to 1, or vice
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| 40 | ** versa.
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| 41 | **
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| 42 | ** 2) The result is compatible with the IAU 1982 and 1994 resolutions,
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| 43 | ** except that accuracy has been compromised for the sake of
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| 44 | ** convenience in that UT is used instead of TDB (or TT) to compute
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| 45 | ** the equation of the equinoxes.
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| 46 | **
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| 47 | ** 3) This GAST must be used only in conjunction with contemporaneous
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| 48 | ** IAU standards such as 1976 precession, 1980 obliquity and 1982
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| 49 | ** nutation. It is not compatible with the IAU 2000 resolutions.
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| 50 | **
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| 51 | ** 4) The result is returned in the range 0 to 2pi.
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| 52 | **
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| 53 | ** Called:
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| 54 | ** eraGmst82 Greenwich mean sidereal time, IAU 1982
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| 55 | ** eraEqeq94 equation of the equinoxes, IAU 1994
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| 56 | ** eraAnp normalize angle into range 0 to 2pi
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| 57 | **
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| 58 | ** References:
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| 59 | **
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| 60 | ** Explanatory Supplement to the Astronomical Almanac,
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| 61 | ** P. Kenneth Seidelmann (ed), University Science Books (1992)
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| 62 | **
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| 63 | ** IAU Resolution C7, Recommendation 3 (1994)
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| 64 | **
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| 65 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
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| 66 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 67 | */
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| 68 | {
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| 69 | double gmst82, eqeq94, gst;
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| 70 |
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| 71 | gmst82 = eraGmst82(uta, utb);
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| 72 | eqeq94 = eraEqeq94(uta, utb);
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| 73 | gst = eraAnp(gmst82 + eqeq94);
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| 74 |
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| 75 | return gst;
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| 76 |
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| 77 | }
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| 78 | /*----------------------------------------------------------------------
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| 79 | **
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| 80 | **
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| 81 | ** Copyright (C) 2013-2015, NumFOCUS Foundation.
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| 82 | ** All rights reserved.
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| 83 | **
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| 84 | ** This library is derived, with permission, from the International
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| 85 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 86 | ** available from http://www.iausofa.org.
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| 87 | **
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| 88 | ** The ERFA version is intended to retain identical functionality to
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| 89 | ** the SOFA library, but made distinct through different function and
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| 90 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 91 | ** original has a role as a reference standard for the IAU and IERS,
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| 92 | ** and consequently redistribution is permitted only in its unaltered
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| 93 | ** state. The ERFA version is not subject to this restriction and
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| 94 | ** therefore can be included in distributions which do not support the
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| 95 | ** concept of "read only" software.
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| 96 | **
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| 97 | ** Although the intent is to replicate the SOFA API (other than
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| 98 | ** replacement of prefix names) and results (with the exception of
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| 99 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 100 | ** responsible for any errors found in this version of the library.
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| 101 | **
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| 102 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 103 | ** that you are using a library derived from SOFA, rather than SOFA
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| 104 | ** itself.
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| 105 | **
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| 106 | **
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| 107 | ** TERMS AND CONDITIONS
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| 108 | **
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| 109 | ** Redistribution and use in source and binary forms, with or without
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| 110 | ** modification, are permitted provided that the following conditions
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| 111 | ** are met:
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| 112 | **
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| 113 | ** 1 Redistributions of source code must retain the above copyright
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| 114 | ** notice, this list of conditions and the following disclaimer.
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| 115 | **
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| 116 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 117 | ** notice, this list of conditions and the following disclaimer in
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| 118 | ** the documentation and/or other materials provided with the
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| 119 | ** distribution.
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| 120 | **
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| 121 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 122 | ** the International Astronomical Union nor the names of its
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| 123 | ** contributors may be used to endorse or promote products derived
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| 124 | ** from this software without specific prior written permission.
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| 125 | **
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| 126 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 127 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 128 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 129 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 130 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 131 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 132 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 133 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 134 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 135 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 136 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 137 | ** POSSIBILITY OF SUCH DAMAGE.
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| 138 | **
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| 139 | */
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