1 | #include "erfa.h"
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2 |
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3 | int eraStarpm(double ra1, double dec1,
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4 | double pmr1, double pmd1, double px1, double rv1,
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5 | double ep1a, double ep1b, double ep2a, double ep2b,
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6 | double *ra2, double *dec2,
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7 | double *pmr2, double *pmd2, double *px2, double *rv2)
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8 | /*
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9 | ** - - - - - - - - - -
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10 | ** e r a S t a r p m
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11 | ** - - - - - - - - - -
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12 | **
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13 | ** Star proper motion: update star catalog data for space motion.
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14 | **
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15 | ** Given:
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16 | ** ra1 double right ascension (radians), before
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17 | ** dec1 double declination (radians), before
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18 | ** pmr1 double RA proper motion (radians/year), before
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19 | ** pmd1 double Dec proper motion (radians/year), before
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20 | ** px1 double parallax (arcseconds), before
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21 | ** rv1 double radial velocity (km/s, +ve = receding), before
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22 | ** ep1a double "before" epoch, part A (Note 1)
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23 | ** ep1b double "before" epoch, part B (Note 1)
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24 | ** ep2a double "after" epoch, part A (Note 1)
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25 | ** ep2b double "after" epoch, part B (Note 1)
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26 | **
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27 | ** Returned:
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28 | ** ra2 double right ascension (radians), after
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29 | ** dec2 double declination (radians), after
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30 | ** pmr2 double RA proper motion (radians/year), after
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31 | ** pmd2 double Dec proper motion (radians/year), after
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32 | ** px2 double parallax (arcseconds), after
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33 | ** rv2 double radial velocity (km/s, +ve = receding), after
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34 | **
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35 | ** Returned (function value):
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36 | ** int status:
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37 | ** -1 = system error (should not occur)
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38 | ** 0 = no warnings or errors
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39 | ** 1 = distance overridden (Note 6)
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40 | ** 2 = excessive velocity (Note 7)
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41 | ** 4 = solution didn't converge (Note 8)
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42 | ** else = binary logical OR of the above warnings
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43 | **
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44 | ** Notes:
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45 | **
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46 | ** 1) The starting and ending TDB dates ep1a+ep1b and ep2a+ep2b are
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47 | ** Julian Dates, apportioned in any convenient way between the two
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48 | ** parts (A and B). For example, JD(TDB)=2450123.7 could be
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49 | ** expressed in any of these ways, among others:
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50 | **
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51 | ** epna epnb
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52 | **
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53 | ** 2450123.7 0.0 (JD method)
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54 | ** 2451545.0 -1421.3 (J2000 method)
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55 | ** 2400000.5 50123.2 (MJD method)
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56 | ** 2450123.5 0.2 (date & time method)
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57 | **
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58 | ** The JD method is the most natural and convenient to use in
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59 | ** cases where the loss of several decimal digits of resolution
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60 | ** is acceptable. The J2000 method is best matched to the way
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61 | ** the argument is handled internally and will deliver the
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62 | ** optimum resolution. The MJD method and the date & time methods
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63 | ** are both good compromises between resolution and convenience.
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64 | **
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65 | ** 2) In accordance with normal star-catalog conventions, the object's
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66 | ** right ascension and declination are freed from the effects of
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67 | ** secular aberration. The frame, which is aligned to the catalog
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68 | ** equator and equinox, is Lorentzian and centered on the SSB.
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69 | **
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70 | ** The proper motions are the rate of change of the right ascension
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71 | ** and declination at the catalog epoch and are in radians per TDB
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72 | ** Julian year.
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73 | **
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74 | ** The parallax and radial velocity are in the same frame.
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75 | **
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76 | ** 3) Care is needed with units. The star coordinates are in radians
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77 | ** and the proper motions in radians per Julian year, but the
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78 | ** parallax is in arcseconds.
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79 | **
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80 | ** 4) The RA proper motion is in terms of coordinate angle, not true
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81 | ** angle. If the catalog uses arcseconds for both RA and Dec proper
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82 | ** motions, the RA proper motion will need to be divided by cos(Dec)
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83 | ** before use.
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84 | **
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85 | ** 5) Straight-line motion at constant speed, in the inertial frame,
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86 | ** is assumed.
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87 | **
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88 | ** 6) An extremely small (or zero or negative) parallax is interpreted
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89 | ** to mean that the object is on the "celestial sphere", the radius
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90 | ** of which is an arbitrary (large) value (see the eraStarpv
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91 | ** function for the value used). When the distance is overridden in
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92 | ** this way, the status, initially zero, has 1 added to it.
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93 | **
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94 | ** 7) If the space velocity is a significant fraction of c (see the
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95 | ** constant VMAX in the function eraStarpv), it is arbitrarily set
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96 | ** to zero. When this action occurs, 2 is added to the status.
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97 | **
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98 | ** 8) The relativistic adjustment carried out in the eraStarpv function
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99 | ** involves an iterative calculation. If the process fails to
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100 | ** converge within a set number of iterations, 4 is added to the
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101 | ** status.
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102 | **
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103 | ** Called:
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104 | ** eraStarpv star catalog data to space motion pv-vector
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105 | ** eraPvu update a pv-vector
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106 | ** eraPdp scalar product of two p-vectors
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107 | ** eraPvstar space motion pv-vector to star catalog data
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108 | **
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109 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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110 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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111 | */
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112 | {
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113 | double pv1[2][3], tl1, dt, pv[2][3], r2, rdv, v2, c2mv2, tl2,
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114 | pv2[2][3];
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115 | int j1, j2, j;
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116 |
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117 |
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118 | /* RA,Dec etc. at the "before" epoch to space motion pv-vector. */
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119 | j1 = eraStarpv(ra1, dec1, pmr1, pmd1, px1, rv1, pv1);
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120 |
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121 | /* Light time when observed (days). */
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122 | tl1 = eraPm(pv1[0]) / ERFA_DC;
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123 |
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124 | /* Time interval, "before" to "after" (days). */
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125 | dt = (ep2a - ep1a) + (ep2b - ep1b);
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126 |
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127 | /* Move star along track from the "before" observed position to the */
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128 | /* "after" geometric position. */
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129 | eraPvu(dt + tl1, pv1, pv);
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130 |
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131 | /* From this geometric position, deduce the observed light time (days) */
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132 | /* at the "after" epoch (with theoretically unneccessary error check). */
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133 | r2 = eraPdp(pv[0], pv[0]);
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134 | rdv = eraPdp(pv[0], pv[1]);
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135 | v2 = eraPdp(pv[1], pv[1]);
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136 | c2mv2 = ERFA_DC*ERFA_DC - v2;
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137 | if (c2mv2 <= 0) return -1;
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138 | tl2 = (-rdv + sqrt(rdv*rdv + c2mv2*r2)) / c2mv2;
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139 |
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140 | /* Move the position along track from the observed place at the */
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141 | /* "before" epoch to the observed place at the "after" epoch. */
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142 | eraPvu(dt + (tl1 - tl2), pv1, pv2);
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143 |
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144 | /* Space motion pv-vector to RA,Dec etc. at the "after" epoch. */
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145 | j2 = eraPvstar(pv2, ra2, dec2, pmr2, pmd2, px2, rv2);
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146 |
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147 | /* Final status. */
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148 | j = (j2 == 0) ? j1 : -1;
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149 |
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150 | return j;
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151 |
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152 | }
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153 | /*----------------------------------------------------------------------
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154 | **
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155 | **
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156 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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157 | ** All rights reserved.
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158 | **
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159 | ** This library is derived, with permission, from the International
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160 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
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161 | ** available from http://www.iausofa.org.
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162 | **
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163 | ** The ERFA version is intended to retain identical functionality to
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164 | ** the SOFA library, but made distinct through different function and
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165 | ** file names, as set out in the SOFA license conditions. The SOFA
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166 | ** original has a role as a reference standard for the IAU and IERS,
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167 | ** and consequently redistribution is permitted only in its unaltered
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168 | ** state. The ERFA version is not subject to this restriction and
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169 | ** therefore can be included in distributions which do not support the
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170 | ** concept of "read only" software.
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171 | **
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172 | ** Although the intent is to replicate the SOFA API (other than
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173 | ** replacement of prefix names) and results (with the exception of
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174 | ** bugs; any that are discovered will be fixed), SOFA is not
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175 | ** responsible for any errors found in this version of the library.
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176 | **
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177 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
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178 | ** that you are using a library derived from SOFA, rather than SOFA
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179 | ** itself.
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180 | **
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181 | **
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182 | ** TERMS AND CONDITIONS
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183 | **
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184 | ** Redistribution and use in source and binary forms, with or without
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185 | ** modification, are permitted provided that the following conditions
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186 | ** are met:
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187 | **
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188 | ** 1 Redistributions of source code must retain the above copyright
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189 | ** notice, this list of conditions and the following disclaimer.
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190 | **
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191 | ** 2 Redistributions in binary form must reproduce the above copyright
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192 | ** notice, this list of conditions and the following disclaimer in
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193 | ** the documentation and/or other materials provided with the
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194 | ** distribution.
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195 | **
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196 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
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197 | ** the International Astronomical Union nor the names of its
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198 | ** contributors may be used to endorse or promote products derived
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199 | ** from this software without specific prior written permission.
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200 | **
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201 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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202 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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203 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
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204 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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205 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
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206 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
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207 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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208 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
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209 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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210 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
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211 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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212 | ** POSSIBILITY OF SUCH DAMAGE.
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213 | **
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214 | */
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