| 1 | #include "erfa.h"
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| 2 |
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| 3 | void eraNut06a(double date1, double date2, double *dpsi, double *deps)
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| 4 | /*
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| 5 | ** - - - - - - - - - -
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| 6 | ** e r a N u t 0 6 a
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| 7 | ** - - - - - - - - - -
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| 8 | **
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| 9 | ** IAU 2000A nutation with adjustments to match the IAU 2006
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| 10 | ** precession.
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| 11 | **
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| 12 | ** Given:
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| 13 | ** date1,date2 double TT as a 2-part Julian Date (Note 1)
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| 14 | **
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| 15 | ** Returned:
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| 16 | ** dpsi,deps double nutation, luni-solar + planetary (Note 2)
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| 17 | **
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| 18 | ** Notes:
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| 19 | **
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| 20 | ** 1) The TT date date1+date2 is a Julian Date, apportioned in any
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| 21 | ** convenient way between the two arguments. For example,
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| 22 | ** JD(TT)=2450123.7 could be expressed in any of these ways,
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| 23 | ** among others:
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| 24 | **
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| 25 | ** date1 date2
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| 26 | **
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| 27 | ** 2450123.7 0.0 (JD method)
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| 28 | ** 2451545.0 -1421.3 (J2000 method)
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| 29 | ** 2400000.5 50123.2 (MJD method)
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| 30 | ** 2450123.5 0.2 (date & time method)
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| 31 | **
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| 32 | ** The JD method is the most natural and convenient to use in
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| 33 | ** cases where the loss of several decimal digits of resolution
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| 34 | ** is acceptable. The J2000 method is best matched to the way
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| 35 | ** the argument is handled internally and will deliver the
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| 36 | ** optimum resolution. The MJD method and the date & time methods
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| 37 | ** are both good compromises between resolution and convenience.
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| 38 | **
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| 39 | ** 2) The nutation components in longitude and obliquity are in radians
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| 40 | ** and with respect to the mean equinox and ecliptic of date,
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| 41 | ** IAU 2006 precession model (Hilton et al. 2006, Capitaine et al.
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| 42 | ** 2005).
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| 43 | **
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| 44 | ** 3) The function first computes the IAU 2000A nutation, then applies
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| 45 | ** adjustments for (i) the consequences of the change in obliquity
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| 46 | ** from the IAU 1980 ecliptic to the IAU 2006 ecliptic and (ii) the
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| 47 | ** secular variation in the Earth's dynamical form factor J2.
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| 48 | **
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| 49 | ** 4) The present function provides classical nutation, complementing
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| 50 | ** the IAU 2000 frame bias and IAU 2006 precession. It delivers a
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| 51 | ** pole which is at current epochs accurate to a few tens of
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| 52 | ** microarcseconds, apart from the free core nutation.
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| 53 | **
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| 54 | ** Called:
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| 55 | ** eraNut00a nutation, IAU 2000A
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| 56 | **
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| 57 | ** References:
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| 58 | **
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| 59 | ** Chapront, J., Chapront-Touze, M. & Francou, G. 2002,
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| 60 | ** Astron.Astrophys. 387, 700
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| 61 | **
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| 62 | ** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B. 1977,
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| 63 | ** Astron.Astrophys. 58, 1-16
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| 64 | **
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| 65 | ** Mathews, P.M., Herring, T.A., Buffet, B.A. 2002, J.Geophys.Res.
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| 66 | ** 107, B4. The MHB_2000 code itself was obtained on 9th September
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| 67 | ** 2002 from ftp//maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
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| 68 | **
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| 69 | ** Simon, J.-L., Bretagnon, P., Chapront, J., Chapront-Touze, M.,
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| 70 | ** Francou, G., Laskar, J. 1994, Astron.Astrophys. 282, 663-683
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| 71 | **
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| 72 | ** Souchay, J., Loysel, B., Kinoshita, H., Folgueira, M. 1999,
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| 73 | ** Astron.Astrophys.Supp.Ser. 135, 111
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| 74 | **
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| 75 | ** Wallace, P.T., "Software for Implementing the IAU 2000
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| 76 | ** Resolutions", in IERS Workshop 5.1 (2002)
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| 77 | **
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| 78 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 79 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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| 80 | */
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| 81 | {
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| 82 | double t, fj2, dp, de;
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| 83 |
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| 84 |
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| 85 | /* Interval between fundamental date J2000.0 and given date (JC). */
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| 86 | t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
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| 87 |
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| 88 | /* Factor correcting for secular variation of J2. */
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| 89 | fj2 = -2.7774e-6 * t;
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| 90 |
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| 91 | /* Obtain IAU 2000A nutation. */
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| 92 | eraNut00a(date1, date2, &dp, &de);
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| 93 |
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| 94 | /* Apply P03 adjustments (Wallace & Capitaine, 2006, Eqs.5). */
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| 95 | *dpsi = dp + dp * (0.4697e-6 + fj2);
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| 96 | *deps = de + de * fj2;
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| 97 |
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| 98 | return;
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| 99 |
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| 100 | }
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| 101 | /*----------------------------------------------------------------------
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| 102 | **
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| 103 | **
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| 104 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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| 105 | ** All rights reserved.
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| 106 | **
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| 107 | ** This library is derived, with permission, from the International
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| 108 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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| 109 | ** available from http://www.iausofa.org.
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| 110 | **
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| 111 | ** The ERFA version is intended to retain identical functionality to
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| 112 | ** the SOFA library, but made distinct through different function and
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| 113 | ** file names, as set out in the SOFA license conditions. The SOFA
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| 114 | ** original has a role as a reference standard for the IAU and IERS,
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| 115 | ** and consequently redistribution is permitted only in its unaltered
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| 116 | ** state. The ERFA version is not subject to this restriction and
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| 117 | ** therefore can be included in distributions which do not support the
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| 118 | ** concept of "read only" software.
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| 119 | **
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| 120 | ** Although the intent is to replicate the SOFA API (other than
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| 121 | ** replacement of prefix names) and results (with the exception of
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| 122 | ** bugs; any that are discovered will be fixed), SOFA is not
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| 123 | ** responsible for any errors found in this version of the library.
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| 124 | **
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| 125 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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| 126 | ** that you are using a library derived from SOFA, rather than SOFA
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| 127 | ** itself.
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| 128 | **
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| 129 | **
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| 130 | ** TERMS AND CONDITIONS
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| 131 | **
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| 132 | ** Redistribution and use in source and binary forms, with or without
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| 133 | ** modification, are permitted provided that the following conditions
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| 134 | ** are met:
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| 135 | **
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| 136 | ** 1 Redistributions of source code must retain the above copyright
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| 137 | ** notice, this list of conditions and the following disclaimer.
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| 138 | **
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| 139 | ** 2 Redistributions in binary form must reproduce the above copyright
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| 140 | ** notice, this list of conditions and the following disclaimer in
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| 141 | ** the documentation and/or other materials provided with the
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| 142 | ** distribution.
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| 143 | **
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| 144 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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| 145 | ** the International Astronomical Union nor the names of its
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| 146 | ** contributors may be used to endorse or promote products derived
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| 147 | ** from this software without specific prior written permission.
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| 148 | **
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| 149 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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| 150 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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| 151 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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| 152 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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| 153 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 154 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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| 155 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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| 156 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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| 157 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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| 158 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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| 159 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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| 160 | ** POSSIBILITY OF SUCH DAMAGE.
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| 161 | **
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| 162 | */
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