1 | #include "erfa.h"
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2 |
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3 | int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2)
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4 | /*
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5 | ** - - - - - - - - - -
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6 | ** e r a T d b t c b
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7 | ** - - - - - - - - - -
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8 | **
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9 | ** Time scale transformation: Barycentric Dynamical Time, TDB, to
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10 | ** Barycentric Coordinate Time, TCB.
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11 | **
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12 | ** Given:
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13 | ** tdb1,tdb2 double TDB as a 2-part Julian Date
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14 | **
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15 | ** Returned:
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16 | ** tcb1,tcb2 double TCB as a 2-part Julian Date
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17 | **
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18 | ** Returned (function value):
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19 | ** int status: 0 = OK
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20 | **
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21 | ** Notes:
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22 | **
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23 | ** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way
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24 | ** between the two arguments, for example where tdb1 is the Julian
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25 | ** Day Number and tdb2 is the fraction of a day. The returned
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26 | ** tcb1,tcb2 follow suit.
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27 | **
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28 | ** 2) The 2006 IAU General Assembly introduced a conventional linear
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29 | ** transformation between TDB and TCB. This transformation
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30 | ** compensates for the drift between TCB and terrestrial time TT,
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31 | ** and keeps TDB approximately centered on TT. Because the
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32 | ** relationship between TT and TCB depends on the adopted solar
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33 | ** system ephemeris, the degree of alignment between TDB and TT over
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34 | ** long intervals will vary according to which ephemeris is used.
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35 | ** Former definitions of TDB attempted to avoid this problem by
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36 | ** stipulating that TDB and TT should differ only by periodic
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37 | ** effects. This is a good description of the nature of the
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38 | ** relationship but eluded precise mathematical formulation. The
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39 | ** conventional linear relationship adopted in 2006 sidestepped
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40 | ** these difficulties whilst delivering a TDB that in practice was
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41 | ** consistent with values before that date.
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42 | **
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43 | ** 3) TDB is essentially the same as Teph, the time argument for the
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44 | ** JPL solar system ephemerides.
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45 | **
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46 | ** Reference:
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47 | **
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48 | ** IAU 2006 Resolution B3
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49 | **
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50 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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51 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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52 | */
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53 | {
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54 |
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55 | /* 1977 Jan 1 00:00:32.184 TT, as two-part JD */
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56 | static const double t77td = ERFA_DJM0 + ERFA_DJM77;
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57 | static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC;
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58 |
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59 | /* TDB (days) at TAI 1977 Jan 1.0 */
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60 | static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC;
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61 |
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62 | /* TDB to TCB rate */
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63 | static const double elbb = ERFA_ELB/(1.0-ERFA_ELB);
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64 |
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65 | double d, f;
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66 |
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67 |
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68 | /* Result, preserving date format but safeguarding precision. */
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69 | if ( tdb1 > tdb2 ) {
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70 | d = t77td - tdb1;
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71 | f = tdb2 - tdb0;
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72 | *tcb1 = tdb1;
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73 | *tcb2 = f - ( d - ( f - t77tf ) ) * elbb;
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74 | } else {
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75 | d = t77td - tdb2;
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76 | f = tdb1 - tdb0;
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77 | *tcb1 = f + ( d - ( f - t77tf ) ) * elbb;
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78 | *tcb2 = tdb2;
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79 | }
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80 |
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81 | /* Status (always OK). */
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82 | return 0;
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83 |
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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 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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89 | ** All rights reserved.
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90 | **
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91 | ** This library is derived, with permission, from the International
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92 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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93 | ** available from http://www.iausofa.org.
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94 | **
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95 | ** The ERFA version is intended to retain identical functionality to
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96 | ** the SOFA library, but made distinct through different function and
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97 | ** file names, as set out in the SOFA license conditions. The SOFA
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98 | ** original has a role as a reference standard for the IAU and IERS,
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99 | ** and consequently redistribution is permitted only in its unaltered
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100 | ** state. The ERFA version is not subject to this restriction and
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101 | ** therefore can be included in distributions which do not support the
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102 | ** concept of "read only" software.
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103 | **
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104 | ** Although the intent is to replicate the SOFA API (other than
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105 | ** replacement of prefix names) and results (with the exception of
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106 | ** bugs; any that are discovered will be fixed), SOFA is not
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107 | ** responsible for any errors found in this version of the library.
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108 | **
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109 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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110 | ** that you are using a library derived from SOFA, rather than SOFA
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111 | ** itself.
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112 | **
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113 | **
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114 | ** TERMS AND CONDITIONS
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115 | **
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116 | ** Redistribution and use in source and binary forms, with or without
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117 | ** modification, are permitted provided that the following conditions
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118 | ** are met:
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119 | **
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120 | ** 1 Redistributions of source code must retain the above copyright
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121 | ** notice, this list of conditions and the following disclaimer.
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122 | **
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123 | ** 2 Redistributions in binary form must reproduce the above copyright
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124 | ** notice, this list of conditions and the following disclaimer in
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125 | ** the documentation and/or other materials provided with the
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126 | ** distribution.
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127 | **
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128 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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129 | ** the International Astronomical Union nor the names of its
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130 | ** contributors may be used to endorse or promote products derived
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131 | ** from this software without specific prior written permission.
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132 | **
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133 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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134 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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135 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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136 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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137 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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138 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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139 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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140 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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141 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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142 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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143 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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144 | ** POSSIBILITY OF SUCH DAMAGE.
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145 | **
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146 | */
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