1 | #include "erfa.h"
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2 |
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3 | void eraPr00(double date1, double date2, double *dpsipr, double *depspr)
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4 | /*
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5 | ** - - - - - - - -
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6 | ** e r a P r 0 0
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7 | ** - - - - - - - -
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8 | **
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9 | ** Precession-rate part of the IAU 2000 precession-nutation models
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10 | ** (part of MHB2000).
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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 | ** dpsipr,depspr double precession corrections (Notes 2,3)
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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 precession adjustments are expressed as "nutation
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40 | ** components", corrections in longitude and obliquity with respect
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41 | ** to the J2000.0 equinox and ecliptic.
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42 | **
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43 | ** 3) Although the precession adjustments are stated to be with respect
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44 | ** to Lieske et al. (1977), the MHB2000 model does not specify which
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45 | ** set of Euler angles are to be used and how the adjustments are to
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46 | ** be applied. The most literal and straightforward procedure is to
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47 | ** adopt the 4-rotation epsilon_0, psi_A, omega_A, xi_A option, and
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48 | ** to add dpsipr to psi_A and depspr to both omega_A and eps_A.
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49 | **
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50 | ** 4) This is an implementation of one aspect of the IAU 2000A nutation
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51 | ** model, formally adopted by the IAU General Assembly in 2000,
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52 | ** namely MHB2000 (Mathews et al. 2002).
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53 | **
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54 | ** References:
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55 | **
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56 | ** Lieske, J.H., Lederle, T., Fricke, W. & Morando, B., "Expressions
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57 | ** for the precession quantities based upon the IAU (1976) System of
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58 | ** Astronomical Constants", Astron.Astrophys., 58, 1-16 (1977)
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59 | **
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60 | ** Mathews, P.M., Herring, T.A., Buffet, B.A., "Modeling of nutation
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61 | ** and precession New nutation series for nonrigid Earth and
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62 | ** insights into the Earth's interior", J.Geophys.Res., 107, B4,
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63 | ** 2002. The MHB2000 code itself was obtained on 9th September 2002
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64 | ** from ftp://maia.usno.navy.mil/conv2000/chapter5/IAU2000A.
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65 | **
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66 | ** Wallace, P.T., "Software for Implementing the IAU 2000
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67 | ** Resolutions", in IERS Workshop 5.1 (2002).
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68 | **
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69 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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70 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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71 | */
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72 | {
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73 | double t;
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74 |
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75 | /* Precession and obliquity corrections (radians per century) */
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76 | static const double PRECOR = -0.29965 * ERFA_DAS2R,
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77 | OBLCOR = -0.02524 * ERFA_DAS2R;
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78 |
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79 |
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80 | /* Interval between fundamental epoch J2000.0 and given date (JC). */
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81 | t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJC;
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82 |
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83 | /* Precession rate contributions with respect to IAU 1976/80. */
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84 | *dpsipr = PRECOR * t;
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85 | *depspr = OBLCOR * t;
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86 |
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87 | return;
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88 |
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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 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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94 | ** All rights reserved.
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95 | **
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96 | ** This library is derived, with permission, from the International
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97 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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98 | ** available from http://www.iausofa.org.
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99 | **
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100 | ** The ERFA version is intended to retain identical functionality to
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101 | ** the SOFA library, but made distinct through different function and
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102 | ** file names, as set out in the SOFA license conditions. The SOFA
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103 | ** original has a role as a reference standard for the IAU and IERS,
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104 | ** and consequently redistribution is permitted only in its unaltered
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105 | ** state. The ERFA version is not subject to this restriction and
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106 | ** therefore can be included in distributions which do not support the
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107 | ** concept of "read only" software.
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108 | **
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109 | ** Although the intent is to replicate the SOFA API (other than
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110 | ** replacement of prefix names) and results (with the exception of
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111 | ** bugs; any that are discovered will be fixed), SOFA is not
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112 | ** responsible for any errors found in this version of the library.
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113 | **
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114 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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115 | ** that you are using a library derived from SOFA, rather than SOFA
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116 | ** itself.
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117 | **
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118 | **
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119 | ** TERMS AND CONDITIONS
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120 | **
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121 | ** Redistribution and use in source and binary forms, with or without
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122 | ** modification, are permitted provided that the following conditions
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123 | ** are met:
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124 | **
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125 | ** 1 Redistributions of source code must retain the above copyright
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126 | ** notice, this list of conditions and the following disclaimer.
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127 | **
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128 | ** 2 Redistributions in binary form must reproduce the above copyright
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129 | ** notice, this list of conditions and the following disclaimer in
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130 | ** the documentation and/or other materials provided with the
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131 | ** distribution.
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132 | **
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133 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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134 | ** the International Astronomical Union nor the names of its
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135 | ** contributors may be used to endorse or promote products derived
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136 | ** from this software without specific prior written permission.
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137 | **
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138 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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139 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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140 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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141 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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142 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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143 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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144 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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145 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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146 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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147 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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148 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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149 | ** POSSIBILITY OF SUCH DAMAGE.
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150 | **
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151 | */
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