1 | #include "erfa.h"
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2 |
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3 | double eraGst00a(double uta, double utb, double tta, double ttb)
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4 | /*
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5 | ** - - - - - - - - - -
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6 | ** e r a G s t 0 0 a
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7 | ** - - - - - - - - - -
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8 | **
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9 | ** Greenwich apparent sidereal time (consistent with IAU 2000
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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 | ** tta,ttb double TT as a 2-part Julian Date (Notes 1,2)
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15 | **
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16 | ** Returned (function value):
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17 | ** double Greenwich apparent sidereal time (radians)
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18 | **
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19 | ** Notes:
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20 | **
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21 | ** 1) The UT1 and TT dates uta+utb and tta+ttb respectively, are both
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22 | ** Julian Dates, apportioned in any convenient way between the
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23 | ** argument pairs. For example, JD=2450123.7 could be expressed in
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24 | ** any of these ways, among others:
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25 | **
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26 | ** Part A Part B
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27 | **
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28 | ** 2450123.7 0.0 (JD method)
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29 | ** 2451545.0 -1421.3 (J2000 method)
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30 | ** 2400000.5 50123.2 (MJD method)
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31 | ** 2450123.5 0.2 (date & time method)
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32 | **
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33 | ** The JD method is the most natural and convenient to use in
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34 | ** cases where the loss of several decimal digits of resolution
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35 | ** is acceptable (in the case of UT; the TT is not at all critical
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36 | ** in this respect). The J2000 and MJD methods are good compromises
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37 | ** between resolution and convenience. For UT, the date & time
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38 | ** method is best matched to the algorithm that is used by the Earth
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39 | ** Rotation Angle function, called internally: maximum precision is
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40 | ** delivered when the uta argument is for 0hrs UT1 on the day in
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41 | ** question and the utb argument lies in the range 0 to 1, or vice
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42 | ** versa.
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43 | **
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44 | ** 2) Both UT1 and TT are required, UT1 to predict the Earth rotation
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45 | ** and TT to predict the effects of precession-nutation. If UT1 is
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46 | ** used for both purposes, errors of order 100 microarcseconds
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47 | ** result.
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48 | **
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49 | ** 3) This GAST is compatible with the IAU 2000 resolutions and must be
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50 | ** used only in conjunction with other IAU 2000 compatible
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51 | ** components such as precession-nutation.
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52 | **
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53 | ** 4) The result is returned in the range 0 to 2pi.
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54 | **
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55 | ** 5) The algorithm is from Capitaine et al. (2003) and IERS
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56 | ** Conventions 2003.
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57 | **
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58 | ** Called:
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59 | ** eraGmst00 Greenwich mean sidereal time, IAU 2000
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60 | ** eraEe00a equation of the equinoxes, IAU 2000A
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61 | ** eraAnp normalize angle into range 0 to 2pi
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62 | **
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63 | ** References:
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64 | **
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65 | ** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
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66 | ** implement the IAU 2000 definition of UT1", Astronomy &
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67 | ** Astrophysics, 406, 1135-1149 (2003)
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68 | **
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69 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
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70 | ** IERS Technical Note No. 32, BKG (2004)
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71 | **
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72 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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73 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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74 | */
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75 | {
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76 | double gmst00, ee00a, gst;
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77 |
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78 |
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79 | gmst00 = eraGmst00(uta, utb, tta, ttb);
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80 | ee00a = eraEe00a(tta, ttb);
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81 | gst = eraAnp(gmst00 + ee00a);
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82 |
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83 | return gst;
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84 |
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85 | }
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86 | /*----------------------------------------------------------------------
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87 | **
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88 | **
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89 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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90 | ** All rights reserved.
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91 | **
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92 | ** This library is derived, with permission, from the International
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93 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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94 | ** available from http://www.iausofa.org.
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95 | **
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96 | ** The ERFA version is intended to retain identical functionality to
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97 | ** the SOFA library, but made distinct through different function and
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98 | ** file names, as set out in the SOFA license conditions. The SOFA
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99 | ** original has a role as a reference standard for the IAU and IERS,
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100 | ** and consequently redistribution is permitted only in its unaltered
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101 | ** state. The ERFA version is not subject to this restriction and
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102 | ** therefore can be included in distributions which do not support the
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103 | ** concept of "read only" software.
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104 | **
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105 | ** Although the intent is to replicate the SOFA API (other than
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106 | ** replacement of prefix names) and results (with the exception of
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107 | ** bugs; any that are discovered will be fixed), SOFA is not
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108 | ** responsible for any errors found in this version of the library.
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109 | **
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110 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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111 | ** that you are using a library derived from SOFA, rather than SOFA
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112 | ** itself.
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113 | **
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114 | **
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115 | ** TERMS AND CONDITIONS
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116 | **
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117 | ** Redistribution and use in source and binary forms, with or without
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118 | ** modification, are permitted provided that the following conditions
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119 | ** are met:
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120 | **
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121 | ** 1 Redistributions of source code must retain the above copyright
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122 | ** notice, this list of conditions and the following disclaimer.
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123 | **
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124 | ** 2 Redistributions in binary form must reproduce the above copyright
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125 | ** notice, this list of conditions and the following disclaimer in
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126 | ** the documentation and/or other materials provided with the
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127 | ** distribution.
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128 | **
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129 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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130 | ** the International Astronomical Union nor the names of its
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131 | ** contributors may be used to endorse or promote products derived
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132 | ** from this software without specific prior written permission.
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133 | **
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134 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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135 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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136 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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137 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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138 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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139 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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140 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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141 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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142 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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143 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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144 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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145 | ** POSSIBILITY OF SUCH DAMAGE.
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146 | **
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147 | */
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