| 1 | #include "erfa.h"
|
|---|
| 2 |
|
|---|
| 3 | double eraEe00a(double date1, double date2)
|
|---|
| 4 | /*
|
|---|
| 5 | ** - - - - - - - - -
|
|---|
| 6 | ** e r a E e 0 0 a
|
|---|
| 7 | ** - - - - - - - - -
|
|---|
| 8 | **
|
|---|
| 9 | ** Equation of the equinoxes, compatible with IAU 2000 resolutions.
|
|---|
| 10 | **
|
|---|
| 11 | ** Given:
|
|---|
| 12 | ** date1,date2 double TT as a 2-part Julian Date (Note 1)
|
|---|
| 13 | **
|
|---|
| 14 | ** Returned (function value):
|
|---|
| 15 | ** double equation of the equinoxes (Note 2)
|
|---|
| 16 | **
|
|---|
| 17 | ** Notes:
|
|---|
| 18 | **
|
|---|
| 19 | ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
|
|---|
| 20 | ** convenient way between the two arguments. For example,
|
|---|
| 21 | ** JD(TT)=2450123.7 could be expressed in any of these ways,
|
|---|
| 22 | ** among others:
|
|---|
| 23 | **
|
|---|
| 24 | ** date1 date2
|
|---|
| 25 | **
|
|---|
| 26 | ** 2450123.7 0.0 (JD method)
|
|---|
| 27 | ** 2451545.0 -1421.3 (J2000 method)
|
|---|
| 28 | ** 2400000.5 50123.2 (MJD method)
|
|---|
| 29 | ** 2450123.5 0.2 (date & time method)
|
|---|
| 30 | **
|
|---|
| 31 | ** The JD method is the most natural and convenient to use in
|
|---|
| 32 | ** cases where the loss of several decimal digits of resolution
|
|---|
| 33 | ** is acceptable. The J2000 method is best matched to the way
|
|---|
| 34 | ** the argument is handled internally and will deliver the
|
|---|
| 35 | ** optimum resolution. The MJD method and the date & time methods
|
|---|
| 36 | ** are both good compromises between resolution and convenience.
|
|---|
| 37 | **
|
|---|
| 38 | ** 2) The result, which is in radians, operates in the following sense:
|
|---|
| 39 | **
|
|---|
| 40 | ** Greenwich apparent ST = GMST + equation of the equinoxes
|
|---|
| 41 | **
|
|---|
| 42 | ** 3) The result is compatible with the IAU 2000 resolutions. For
|
|---|
| 43 | ** further details, see IERS Conventions 2003 and Capitaine et al.
|
|---|
| 44 | ** (2002).
|
|---|
| 45 | **
|
|---|
| 46 | ** Called:
|
|---|
| 47 | ** eraPr00 IAU 2000 precession adjustments
|
|---|
| 48 | ** eraObl80 mean obliquity, IAU 1980
|
|---|
| 49 | ** eraNut00a nutation, IAU 2000A
|
|---|
| 50 | ** eraEe00 equation of the equinoxes, IAU 2000
|
|---|
| 51 | **
|
|---|
| 52 | ** References:
|
|---|
| 53 | **
|
|---|
| 54 | ** Capitaine, N., Wallace, P.T. and McCarthy, D.D., "Expressions to
|
|---|
| 55 | ** implement the IAU 2000 definition of UT1", Astronomy &
|
|---|
| 56 | ** Astrophysics, 406, 1135-1149 (2003).
|
|---|
| 57 | **
|
|---|
| 58 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
|
|---|
| 59 | ** IERS Technical Note No. 32, BKG (2004).
|
|---|
| 60 | **
|
|---|
| 61 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 62 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
|---|
| 63 | */
|
|---|
| 64 | {
|
|---|
| 65 | double dpsipr, depspr, epsa, dpsi, deps, ee;
|
|---|
| 66 |
|
|---|
| 67 |
|
|---|
| 68 | /* IAU 2000 precession-rate adjustments. */
|
|---|
| 69 | eraPr00(date1, date2, &dpsipr, &depspr);
|
|---|
| 70 |
|
|---|
| 71 | /* Mean obliquity, consistent with IAU 2000 precession-nutation. */
|
|---|
| 72 | epsa = eraObl80(date1, date2) + depspr;
|
|---|
| 73 |
|
|---|
| 74 | /* Nutation in longitude. */
|
|---|
| 75 | eraNut00a(date1, date2, &dpsi, &deps);
|
|---|
| 76 |
|
|---|
| 77 | /* Equation of the equinoxes. */
|
|---|
| 78 | ee = eraEe00(date1, date2, epsa, dpsi);
|
|---|
| 79 |
|
|---|
| 80 | return ee;
|
|---|
| 81 |
|
|---|
| 82 | }
|
|---|
| 83 | /*----------------------------------------------------------------------
|
|---|
| 84 | **
|
|---|
| 85 | **
|
|---|
| 86 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 87 | ** All rights reserved.
|
|---|
| 88 | **
|
|---|
| 89 | ** This library is derived, with permission, from the International
|
|---|
| 90 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
|---|
| 91 | ** available from http://www.iausofa.org.
|
|---|
| 92 | **
|
|---|
| 93 | ** The ERFA version is intended to retain identical functionality to
|
|---|
| 94 | ** the SOFA library, but made distinct through different function and
|
|---|
| 95 | ** file names, as set out in the SOFA license conditions. The SOFA
|
|---|
| 96 | ** original has a role as a reference standard for the IAU and IERS,
|
|---|
| 97 | ** and consequently redistribution is permitted only in its unaltered
|
|---|
| 98 | ** state. The ERFA version is not subject to this restriction and
|
|---|
| 99 | ** therefore can be included in distributions which do not support the
|
|---|
| 100 | ** concept of "read only" software.
|
|---|
| 101 | **
|
|---|
| 102 | ** Although the intent is to replicate the SOFA API (other than
|
|---|
| 103 | ** replacement of prefix names) and results (with the exception of
|
|---|
| 104 | ** bugs; any that are discovered will be fixed), SOFA is not
|
|---|
| 105 | ** responsible for any errors found in this version of the library.
|
|---|
| 106 | **
|
|---|
| 107 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
|---|
| 108 | ** that you are using a library derived from SOFA, rather than SOFA
|
|---|
| 109 | ** itself.
|
|---|
| 110 | **
|
|---|
| 111 | **
|
|---|
| 112 | ** TERMS AND CONDITIONS
|
|---|
| 113 | **
|
|---|
| 114 | ** Redistribution and use in source and binary forms, with or without
|
|---|
| 115 | ** modification, are permitted provided that the following conditions
|
|---|
| 116 | ** are met:
|
|---|
| 117 | **
|
|---|
| 118 | ** 1 Redistributions of source code must retain the above copyright
|
|---|
| 119 | ** notice, this list of conditions and the following disclaimer.
|
|---|
| 120 | **
|
|---|
| 121 | ** 2 Redistributions in binary form must reproduce the above copyright
|
|---|
| 122 | ** notice, this list of conditions and the following disclaimer in
|
|---|
| 123 | ** the documentation and/or other materials provided with the
|
|---|
| 124 | ** distribution.
|
|---|
| 125 | **
|
|---|
| 126 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
|---|
| 127 | ** the International Astronomical Union nor the names of its
|
|---|
| 128 | ** contributors may be used to endorse or promote products derived
|
|---|
| 129 | ** from this software without specific prior written permission.
|
|---|
| 130 | **
|
|---|
| 131 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|---|
| 132 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
|---|
| 133 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
|---|
| 134 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
|---|
| 135 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
|---|
| 136 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
|---|
| 137 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|---|
| 138 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
|---|
| 139 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|---|
| 140 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
|---|
| 141 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|---|
| 142 | ** POSSIBILITY OF SUCH DAMAGE.
|
|---|
| 143 | **
|
|---|
| 144 | */
|
|---|