| 1 | #include "erfa.h"
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| 2 |
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| 3 | void eraAtic13(double ri, double di, double date1, double date2,
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| 4 | double *rc, double *dc, double *eo)
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| 5 | /*
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| 6 | ** - - - - - - - - - -
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| 7 | ** e r a A t i c 1 3
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| 8 | ** - - - - - - - - - -
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| 9 | **
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| 10 | ** Transform star RA,Dec from geocentric CIRS to ICRS astrometric.
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| 11 | **
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| 12 | ** Given:
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| 13 | ** ri,di double CIRS geocentric RA,Dec (radians)
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| 14 | ** date1 double TDB as a 2-part...
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| 15 | ** date2 double ...Julian Date (Note 1)
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| 16 | **
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| 17 | ** Returned:
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| 18 | ** rc,dc double ICRS astrometric RA,Dec (radians)
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| 19 | ** eo double equation of the origins (ERA-GST, Note 4)
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| 20 | **
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| 21 | ** Notes:
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| 22 | **
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| 23 | ** 1) The TDB date date1+date2 is a Julian Date, apportioned in any
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| 24 | ** convenient way between the two arguments. For example,
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| 25 | ** JD(TDB)=2450123.7 could be expressed in any of these ways, among
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| 26 | ** others:
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| 27 | **
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| 28 | ** date1 date2
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| 29 | **
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| 30 | ** 2450123.7 0.0 (JD method)
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| 31 | ** 2451545.0 -1421.3 (J2000 method)
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| 32 | ** 2400000.5 50123.2 (MJD method)
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| 33 | ** 2450123.5 0.2 (date & time method)
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| 34 | **
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| 35 | ** The JD method is the most natural and convenient to use in cases
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| 36 | ** where the loss of several decimal digits of resolution is
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| 37 | ** acceptable. The J2000 method is best matched to the way the
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| 38 | ** argument is handled internally and will deliver the optimum
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| 39 | ** resolution. The MJD method and the date & time methods are both
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| 40 | ** good compromises between resolution and convenience. For most
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| 41 | ** applications of this function the choice will not be at all
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| 42 | ** critical.
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| 43 | **
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| 44 | ** TT can be used instead of TDB without any significant impact on
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| 45 | ** accuracy.
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| 46 | **
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| 47 | ** 2) Iterative techniques are used for the aberration and light
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| 48 | ** deflection corrections so that the functions eraAtic13 (or
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| 49 | ** eraAticq) and eraAtci13 (or eraAtciq) are accurate inverses;
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| 50 | ** even at the edge of the Sun's disk the discrepancy is only about
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| 51 | ** 1 nanoarcsecond.
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| 52 | **
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| 53 | ** 3) The available accuracy is better than 1 milliarcsecond, limited
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| 54 | ** mainly by the precession-nutation model that is used, namely
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| 55 | ** IAU 2000A/2006. Very close to solar system bodies, additional
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| 56 | ** errors of up to several milliarcseconds can occur because of
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| 57 | ** unmodeled light deflection; however, the Sun's contribution is
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| 58 | ** taken into account, to first order. The accuracy limitations of
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| 59 | ** the ERFA function eraEpv00 (used to compute Earth position and
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| 60 | ** velocity) can contribute aberration errors of up to
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| 61 | ** 5 microarcseconds. Light deflection at the Sun's limb is
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| 62 | ** uncertain at the 0.4 mas level.
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| 63 | **
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| 64 | ** 4) Should the transformation to (equinox based) J2000.0 mean place
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| 65 | ** be required rather than (CIO based) ICRS coordinates, subtract the
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| 66 | ** equation of the origins from the returned right ascension:
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| 67 | ** RA = RI - EO. (The eraAnp function can then be applied, as
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| 68 | ** required, to keep the result in the conventional 0-2pi range.)
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| 69 | **
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| 70 | ** Called:
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| 71 | ** eraApci13 astrometry parameters, ICRS-CIRS, 2013
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| 72 | ** eraAticq quick CIRS to ICRS astrometric
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| 73 | **
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| 74 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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| 75 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 76 | */
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| 77 | {
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| 78 | /* Star-independent astrometry parameters */
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| 79 | eraASTROM astrom;
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| 80 |
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| 81 |
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| 82 | /* Star-independent astrometry parameters. */
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| 83 | eraApci13(date1, date2, &astrom, eo);
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| 84 |
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| 85 | /* CIRS to ICRS astrometric. */
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| 86 | eraAticq(ri, di, &astrom, rc, dc);
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| 87 |
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| 88 | /* Finished. */
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| 89 |
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| 90 | }
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| 91 | /*----------------------------------------------------------------------
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| 92 | **
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| 93 | **
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| 94 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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| 95 | ** All rights reserved.
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| 96 | **
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| 97 | ** This library is derived, with permission, from the International
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| 98 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 99 | ** available from http://www.iausofa.org.
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| 100 | **
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| 101 | ** The ERFA version is intended to retain identical functionality to
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| 102 | ** the SOFA library, but made distinct through different function and
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| 103 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 104 | ** original has a role as a reference standard for the IAU and IERS,
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| 105 | ** and consequently redistribution is permitted only in its unaltered
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| 106 | ** state. The ERFA version is not subject to this restriction and
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| 107 | ** therefore can be included in distributions which do not support the
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| 108 | ** concept of "read only" software.
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| 109 | **
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| 110 | ** Although the intent is to replicate the SOFA API (other than
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| 111 | ** replacement of prefix names) and results (with the exception of
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| 112 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 113 | ** responsible for any errors found in this version of the library.
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| 114 | **
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| 115 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 116 | ** that you are using a library derived from SOFA, rather than SOFA
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| 117 | ** itself.
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| 118 | **
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| 119 | **
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| 120 | ** TERMS AND CONDITIONS
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| 121 | **
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| 122 | ** Redistribution and use in source and binary forms, with or without
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| 123 | ** modification, are permitted provided that the following conditions
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| 124 | ** are met:
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| 125 | **
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| 126 | ** 1 Redistributions of source code must retain the above copyright
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| 127 | ** notice, this list of conditions and the following disclaimer.
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| 128 | **
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| 129 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 130 | ** notice, this list of conditions and the following disclaimer in
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| 131 | ** the documentation and/or other materials provided with the
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| 132 | ** distribution.
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| 133 | **
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| 134 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 135 | ** the International Astronomical Union nor the names of its
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| 136 | ** contributors may be used to endorse or promote products derived
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| 137 | ** from this software without specific prior written permission.
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| 138 | **
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| 139 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 140 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 141 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 142 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 143 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 144 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 145 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 146 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 147 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 148 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 149 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 150 | ** POSSIBILITY OF SUCH DAMAGE.
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| 151 | **
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| 152 | */
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