| 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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