1 | #include "erfa.h"
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2 |
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3 | int eraPlan94(double date1, double date2, int np, double pv[2][3])
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4 | /*
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5 | ** - - - - - - - - - -
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6 | ** e r a P l a n 9 4
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7 | ** - - - - - - - - - -
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8 | **
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9 | ** Approximate heliocentric position and velocity of a nominated major
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10 | ** planet: Mercury, Venus, EMB, Mars, Jupiter, Saturn, Uranus or
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11 | ** Neptune (but not the Earth itself).
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12 | **
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13 | ** Given:
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14 | ** date1 double TDB date part A (Note 1)
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15 | ** date2 double TDB date part B (Note 1)
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16 | ** np int planet (1=Mercury, 2=Venus, 3=EMB, 4=Mars,
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17 | ** 5=Jupiter, 6=Saturn, 7=Uranus, 8=Neptune)
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18 | **
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19 | ** Returned (argument):
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20 | ** pv double[2][3] planet p,v (heliocentric, J2000.0, AU,AU/d)
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21 | **
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22 | ** Returned (function value):
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23 | ** int status: -1 = illegal NP (outside 1-8)
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24 | ** 0 = OK
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25 | ** +1 = warning: year outside 1000-3000
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26 | ** +2 = warning: failed to converge
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27 | **
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28 | ** Notes:
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29 | **
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30 | ** 1) The date date1+date2 is in the TDB time scale (in practice TT can
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31 | ** be used) and is a Julian Date, apportioned in any convenient way
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32 | ** between the two arguments. For example, JD(TDB)=2450123.7 could
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33 | ** be expressed in any of these ways, among others:
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34 | **
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35 | ** date1 date2
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36 | **
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37 | ** 2450123.7 0.0 (JD method)
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38 | ** 2451545.0 -1421.3 (J2000 method)
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39 | ** 2400000.5 50123.2 (MJD method)
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40 | ** 2450123.5 0.2 (date & time method)
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41 | **
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42 | ** The JD method is the most natural and convenient to use in cases
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43 | ** where the loss of several decimal digits of resolution is
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44 | ** acceptable. The J2000 method is best matched to the way the
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45 | ** argument is handled internally and will deliver the optimum
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46 | ** resolution. The MJD method and the date & time methods are both
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47 | ** good compromises between resolution and convenience. The limited
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48 | ** accuracy of the present algorithm is such that any of the methods
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49 | ** is satisfactory.
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50 | **
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51 | ** 2) If an np value outside the range 1-8 is supplied, an error status
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52 | ** (function value -1) is returned and the pv vector set to zeroes.
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53 | **
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54 | ** 3) For np=3 the result is for the Earth-Moon Barycenter. To obtain
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55 | ** the heliocentric position and velocity of the Earth, use instead
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56 | ** the ERFA function eraEpv00.
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57 | **
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58 | ** 4) On successful return, the array pv contains the following:
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59 | **
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60 | ** pv[0][0] x }
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61 | ** pv[0][1] y } heliocentric position, AU
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62 | ** pv[0][2] z }
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63 | **
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64 | ** pv[1][0] xdot }
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65 | ** pv[1][1] ydot } heliocentric velocity, AU/d
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66 | ** pv[1][2] zdot }
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67 | **
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68 | ** The reference frame is equatorial and is with respect to the
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69 | ** mean equator and equinox of epoch J2000.0.
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70 | **
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71 | ** 5) The algorithm is due to J.L. Simon, P. Bretagnon, J. Chapront,
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72 | ** M. Chapront-Touze, G. Francou and J. Laskar (Bureau des
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73 | ** Longitudes, Paris, France). From comparisons with JPL
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74 | ** ephemeris DE102, they quote the following maximum errors
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75 | ** over the interval 1800-2050:
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76 | **
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77 | ** L (arcsec) B (arcsec) R (km)
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78 | **
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79 | ** Mercury 4 1 300
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80 | ** Venus 5 1 800
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81 | ** EMB 6 1 1000
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82 | ** Mars 17 1 7700
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83 | ** Jupiter 71 5 76000
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84 | ** Saturn 81 13 267000
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85 | ** Uranus 86 7 712000
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86 | ** Neptune 11 1 253000
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87 | **
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88 | ** Over the interval 1000-3000, they report that the accuracy is no
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89 | ** worse than 1.5 times that over 1800-2050. Outside 1000-3000 the
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90 | ** accuracy declines.
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91 | **
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92 | ** Comparisons of the present function with the JPL DE200 ephemeris
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93 | ** give the following RMS errors over the interval 1960-2025:
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94 | **
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95 | ** position (km) velocity (m/s)
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96 | **
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97 | ** Mercury 334 0.437
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98 | ** Venus 1060 0.855
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99 | ** EMB 2010 0.815
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100 | ** Mars 7690 1.98
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101 | ** Jupiter 71700 7.70
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102 | ** Saturn 199000 19.4
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103 | ** Uranus 564000 16.4
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104 | ** Neptune 158000 14.4
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105 | **
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106 | ** Comparisons against DE200 over the interval 1800-2100 gave the
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107 | ** following maximum absolute differences. (The results using
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108 | ** DE406 were essentially the same.)
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109 | **
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110 | ** L (arcsec) B (arcsec) R (km) Rdot (m/s)
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111 | **
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112 | ** Mercury 7 1 500 0.7
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113 | ** Venus 7 1 1100 0.9
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114 | ** EMB 9 1 1300 1.0
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115 | ** Mars 26 1 9000 2.5
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116 | ** Jupiter 78 6 82000 8.2
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117 | ** Saturn 87 14 263000 24.6
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118 | ** Uranus 86 7 661000 27.4
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119 | ** Neptune 11 2 248000 21.4
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120 | **
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121 | ** 6) The present ERFA re-implementation of the original Simon et al.
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122 | ** Fortran code differs from the original in the following respects:
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123 | **
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124 | ** * C instead of Fortran.
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125 | **
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126 | ** * The date is supplied in two parts.
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127 | **
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128 | ** * The result is returned only in equatorial Cartesian form;
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129 | ** the ecliptic longitude, latitude and radius vector are not
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130 | ** returned.
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131 | **
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132 | ** * The result is in the J2000.0 equatorial frame, not ecliptic.
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133 | **
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134 | ** * More is done in-line: there are fewer calls to subroutines.
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135 | **
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136 | ** * Different error/warning status values are used.
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137 | **
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138 | ** * A different Kepler's-equation-solver is used (avoiding
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139 | ** use of double precision complex).
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140 | **
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141 | ** * Polynomials in t are nested to minimize rounding errors.
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142 | **
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143 | ** * Explicit double constants are used to avoid mixed-mode
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144 | ** expressions.
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145 | **
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146 | ** None of the above changes affects the result significantly.
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147 | **
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148 | ** 7) The returned status indicates the most serious condition
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149 | ** encountered during execution of the function. Illegal np is
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150 | ** considered the most serious, overriding failure to converge,
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151 | ** which in turn takes precedence over the remote date warning.
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152 | **
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153 | ** Called:
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154 | ** eraAnp normalize angle into range 0 to 2pi
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155 | **
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156 | ** Reference: Simon, J.L, Bretagnon, P., Chapront, J.,
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157 | ** Chapront-Touze, M., Francou, G., and Laskar, J.,
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158 | ** Astron. Astrophys. 282, 663 (1994).
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159 | **
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160 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
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161 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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162 | */
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163 | {
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164 | /* Gaussian constant */
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165 | static const double GK = 0.017202098950;
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166 |
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167 | /* Sin and cos of J2000.0 mean obliquity (IAU 1976) */
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168 | static const double SINEPS = 0.3977771559319137;
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169 | static const double COSEPS = 0.9174820620691818;
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170 |
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171 | /* Maximum number of iterations allowed to solve Kepler's equation */
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172 | static const int KMAX = 10;
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173 |
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174 | int jstat, i, k;
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175 | double t, da, dl, de, dp, di, dom, dmu, arga, argl, am,
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176 | ae, dae, ae2, at, r, v, si2, xq, xp, tl, xsw,
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177 | xcw, xm2, xf, ci2, xms, xmc, xpxq2, x, y, z;
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178 |
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179 | /* Planetary inverse masses */
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180 | static const double amas[] = { 6023600.0, /* Mercury */
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181 | 408523.5, /* Venus */
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182 | 328900.5, /* EMB */
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183 | 3098710.0, /* Mars */
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184 | 1047.355, /* Jupiter */
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185 | 3498.5, /* Saturn */
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186 | 22869.0, /* Uranus */
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187 | 19314.0 }; /* Neptune */
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188 |
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189 | /*
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190 | ** Tables giving the mean Keplerian elements, limited to t^2 terms:
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191 | **
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192 | ** a semi-major axis (AU)
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193 | ** dlm mean longitude (degree and arcsecond)
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194 | ** e eccentricity
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195 | ** pi longitude of the perihelion (degree and arcsecond)
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196 | ** dinc inclination (degree and arcsecond)
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197 | ** omega longitude of the ascending node (degree and arcsecond)
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198 | */
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199 |
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200 | static const double a[][3] = {
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201 | { 0.3870983098, 0.0, 0.0 }, /* Mercury */
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202 | { 0.7233298200, 0.0, 0.0 }, /* Venus */
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203 | { 1.0000010178, 0.0, 0.0 }, /* EMB */
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204 | { 1.5236793419, 3e-10, 0.0 }, /* Mars */
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205 | { 5.2026032092, 19132e-10, -39e-10 }, /* Jupiter */
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206 | { 9.5549091915, -0.0000213896, 444e-10 }, /* Saturn */
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207 | { 19.2184460618, -3716e-10, 979e-10 }, /* Uranus */
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208 | { 30.1103868694, -16635e-10, 686e-10 } /* Neptune */
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209 | };
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210 |
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211 | static const double dlm[][3] = {
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212 | { 252.25090552, 5381016286.88982, -1.92789 },
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213 | { 181.97980085, 2106641364.33548, 0.59381 },
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214 | { 100.46645683, 1295977422.83429, -2.04411 },
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215 | { 355.43299958, 689050774.93988, 0.94264 },
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216 | { 34.35151874, 109256603.77991, -30.60378 },
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217 | { 50.07744430, 43996098.55732, 75.61614 },
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218 | { 314.05500511, 15424811.93933, -1.75083 },
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219 | { 304.34866548, 7865503.20744, 0.21103 }
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220 | };
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221 |
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222 | static const double e[][3] = {
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223 | { 0.2056317526, 0.0002040653, -28349e-10 },
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224 | { 0.0067719164, -0.0004776521, 98127e-10 },
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225 | { 0.0167086342, -0.0004203654, -0.0000126734 },
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226 | { 0.0934006477, 0.0009048438, -80641e-10 },
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227 | { 0.0484979255, 0.0016322542, -0.0000471366 },
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228 | { 0.0555481426, -0.0034664062, -0.0000643639 },
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229 | { 0.0463812221, -0.0002729293, 0.0000078913 },
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230 | { 0.0094557470, 0.0000603263, 0.0 }
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231 | };
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232 |
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233 | static const double pi[][3] = {
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234 | { 77.45611904, 5719.11590, -4.83016 },
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235 | { 131.56370300, 175.48640, -498.48184 },
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236 | { 102.93734808, 11612.35290, 53.27577 },
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237 | { 336.06023395, 15980.45908, -62.32800 },
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238 | { 14.33120687, 7758.75163, 259.95938 },
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239 | { 93.05723748, 20395.49439, 190.25952 },
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240 | { 173.00529106, 3215.56238, -34.09288 },
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241 | { 48.12027554, 1050.71912, 27.39717 }
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242 | };
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243 |
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244 | static const double dinc[][3] = {
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245 | { 7.00498625, -214.25629, 0.28977 },
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246 | { 3.39466189, -30.84437, -11.67836 },
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247 | { 0.0, 469.97289, -3.35053 },
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248 | { 1.84972648, -293.31722, -8.11830 },
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249 | { 1.30326698, -71.55890, 11.95297 },
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250 | { 2.48887878, 91.85195, -17.66225 },
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251 | { 0.77319689, -60.72723, 1.25759 },
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252 | { 1.76995259, 8.12333, 0.08135 }
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253 | };
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254 |
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255 | static const double omega[][3] = {
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256 | { 48.33089304, -4515.21727, -31.79892 },
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257 | { 76.67992019, -10008.48154, -51.32614 },
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258 | { 174.87317577, -8679.27034, 15.34191 },
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259 | { 49.55809321, -10620.90088, -230.57416 },
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260 | { 100.46440702, 6362.03561, 326.52178 },
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261 | { 113.66550252, -9240.19942, -66.23743 },
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262 | { 74.00595701, 2669.15033, 145.93964 },
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263 | { 131.78405702, -221.94322, -0.78728 }
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264 | };
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265 |
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266 | /* Tables for trigonometric terms to be added to the mean elements of */
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267 | /* the semi-major axes */
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268 |
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269 | static const double kp[][9] = {
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270 | { 69613, 75645, 88306, 59899, 15746, 71087, 142173, 3086, 0 },
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271 | { 21863, 32794, 26934, 10931, 26250, 43725, 53867, 28939, 0 },
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272 | { 16002, 21863, 32004, 10931, 14529, 16368, 15318, 32794, 0 },
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273 | { 6345, 7818, 15636, 7077, 8184, 14163, 1107, 4872, 0 },
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274 | { 1760, 1454, 1167, 880, 287, 2640, 19, 2047, 1454 },
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275 | { 574, 0, 880, 287, 19, 1760, 1167, 306, 574 },
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276 | { 204, 0, 177, 1265, 4, 385, 200, 208, 204 },
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277 | { 0, 102, 106, 4, 98, 1367, 487, 204, 0 }
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278 | };
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279 |
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280 | static const double ca[][9] = {
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281 | { 4, -13, 11, -9, -9, -3, -1, 4, 0 },
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282 | { -156, 59, -42, 6, 19, -20, -10, -12, 0 },
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283 | { 64, -152, 62, -8, 32, -41, 19, -11, 0 },
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284 | { 124, 621, -145, 208, 54, -57, 30, 15, 0 },
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285 | { -23437, -2634, 6601, 6259, -1507,-1821, 2620, -2115, -1489 },
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286 | { 62911,-119919, 79336,17814,-24241,12068, 8306, -4893, 8902 },
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287 | { 389061,-262125,-44088, 8387,-22976,-2093, -615, -9720, 6633 },
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288 | { -412235,-157046,-31430,37817, -9740, -13, -7449, 9644, 0 }
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289 | };
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290 |
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291 | static const double sa[][9] = {
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292 | { -29, -1, 9, 6, -6, 5, 4, 0, 0 },
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293 | { -48, -125, -26, -37, 18, -13, -20, -2, 0 },
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294 | { -150, -46, 68, 54, 14, 24, -28, 22, 0 },
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295 | { -621, 532, -694, -20, 192, -94, 71, -73, 0 },
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296 | { -14614,-19828, -5869, 1881, -4372, -2255, 782, 930, 913 },
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297 | { 139737, 0, 24667, 51123, -5102, 7429, -4095, -1976, -9566 },
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298 | { -138081, 0, 37205,-49039,-41901,-33872,-27037,-12474, 18797 },
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299 | { 0, 28492,133236, 69654, 52322,-49577,-26430, -3593, 0 }
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300 | };
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301 |
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302 | /* Tables giving the trigonometric terms to be added to the mean */
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303 | /* elements of the mean longitudes */
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304 |
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305 | static const double kq[][10] = {
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306 | { 3086,15746,69613,59899,75645,88306, 12661, 2658, 0, 0 },
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307 | { 21863,32794,10931, 73, 4387,26934, 1473, 2157, 0, 0 },
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308 | { 10,16002,21863,10931, 1473,32004, 4387, 73, 0, 0 },
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309 | { 10, 6345, 7818, 1107,15636, 7077, 8184, 532, 10, 0 },
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310 | { 19, 1760, 1454, 287, 1167, 880, 574, 2640, 19, 1454 },
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311 | { 19, 574, 287, 306, 1760, 12, 31, 38, 19, 574 },
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312 | { 4, 204, 177, 8, 31, 200, 1265, 102, 4, 204 },
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313 | { 4, 102, 106, 8, 98, 1367, 487, 204, 4, 102 }
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314 | };
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315 |
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316 | static const double cl[][10] = {
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317 | { 21, -95, -157, 41, -5, 42, 23, 30, 0, 0 },
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318 | { -160, -313, -235, 60, -74, -76, -27, 34, 0, 0 },
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319 | { -325, -322, -79, 232, -52, 97, 55, -41, 0, 0 },
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320 | { 2268, -979, 802, 602, -668, -33, 345, 201, -55, 0 },
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321 | { 7610, -4997,-7689,-5841,-2617, 1115,-748,-607, 6074, 354 },
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322 | { -18549, 30125,20012, -730, 824, 23,1289,-352, -14767, -2062 },
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323 | { -135245,-14594, 4197,-4030,-5630,-2898,2540,-306, 2939, 1986 },
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324 | { 89948, 2103, 8963, 2695, 3682, 1648, 866,-154, -1963, -283 }
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325 | };
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326 |
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327 | static const double sl[][10] = {
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328 | { -342, 136, -23, 62, 66, -52, -33, 17, 0, 0 },
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329 | { 524, -149, -35, 117, 151, 122, -71, -62, 0, 0 },
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330 | { -105, -137, 258, 35, -116, -88,-112, -80, 0, 0 },
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331 | { 854, -205, -936, -240, 140, -341, -97, -232, 536, 0 },
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332 | { -56980, 8016, 1012, 1448,-3024,-3710, 318, 503, 3767, 577 },
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333 | { 138606,-13478,-4964, 1441,-1319,-1482, 427, 1236, -9167, -1918 },
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334 | { 71234,-41116, 5334,-4935,-1848, 66, 434, -1748, 3780, -701 },
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335 | { -47645, 11647, 2166, 3194, 679, 0,-244, -419, -2531, 48 }
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336 | };
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337 |
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338 | /*--------------------------------------------------------------------*/
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339 |
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340 | /* Validate the planet number. */
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341 | if ((np < 1) || (np > 8)) {
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342 | jstat = -1;
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343 |
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344 | /* Reset the result in case of failure. */
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345 | for (k = 0; k < 2; k++) {
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346 | for (i = 0; i < 3; i++) {
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347 | pv[k][i] = 0.0;
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348 | }
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349 | }
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350 |
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351 | } else {
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352 |
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353 | /* Decrement the planet number to start at zero. */
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354 | np--;
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355 |
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356 | /* Time: Julian millennia since J2000.0. */
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357 | t = ((date1 - ERFA_DJ00) + date2) / ERFA_DJM;
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358 |
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359 | /* OK status unless remote date. */
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360 | jstat = fabs(t) <= 1.0 ? 0 : 1;
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361 |
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362 | /* Compute the mean elements. */
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363 | da = a[np][0] +
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364 | (a[np][1] +
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365 | a[np][2] * t) * t;
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366 | dl = (3600.0 * dlm[np][0] +
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367 | (dlm[np][1] +
|
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368 | dlm[np][2] * t) * t) * ERFA_DAS2R;
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369 | de = e[np][0] +
|
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370 | ( e[np][1] +
|
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371 | e[np][2] * t) * t;
|
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372 | dp = eraAnpm((3600.0 * pi[np][0] +
|
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373 | (pi[np][1] +
|
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374 | pi[np][2] * t) * t) * ERFA_DAS2R);
|
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375 | di = (3600.0 * dinc[np][0] +
|
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376 | (dinc[np][1] +
|
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377 | dinc[np][2] * t) * t) * ERFA_DAS2R;
|
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378 | dom = eraAnpm((3600.0 * omega[np][0] +
|
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379 | (omega[np][1] +
|
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380 | omega[np][2] * t) * t) * ERFA_DAS2R);
|
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381 |
|
---|
382 | /* Apply the trigonometric terms. */
|
---|
383 | dmu = 0.35953620 * t;
|
---|
384 | for (k = 0; k < 8; k++) {
|
---|
385 | arga = kp[np][k] * dmu;
|
---|
386 | argl = kq[np][k] * dmu;
|
---|
387 | da += (ca[np][k] * cos(arga) +
|
---|
388 | sa[np][k] * sin(arga)) * 1e-7;
|
---|
389 | dl += (cl[np][k] * cos(argl) +
|
---|
390 | sl[np][k] * sin(argl)) * 1e-7;
|
---|
391 | }
|
---|
392 | arga = kp[np][8] * dmu;
|
---|
393 | da += t * (ca[np][8] * cos(arga) +
|
---|
394 | sa[np][8] * sin(arga)) * 1e-7;
|
---|
395 | for (k = 8; k < 10; k++) {
|
---|
396 | argl = kq[np][k] * dmu;
|
---|
397 | dl += t * (cl[np][k] * cos(argl) +
|
---|
398 | sl[np][k] * sin(argl)) * 1e-7;
|
---|
399 | }
|
---|
400 | dl = fmod(dl, ERFA_D2PI);
|
---|
401 |
|
---|
402 | /* Iterative soln. of Kepler's equation to get eccentric anomaly. */
|
---|
403 | am = dl - dp;
|
---|
404 | ae = am + de * sin(am);
|
---|
405 | k = 0;
|
---|
406 | dae = 1.0;
|
---|
407 | while (k < KMAX && fabs(dae) > 1e-12) {
|
---|
408 | dae = (am - ae + de * sin(ae)) / (1.0 - de * cos(ae));
|
---|
409 | ae += dae;
|
---|
410 | k++;
|
---|
411 | if (k == KMAX-1) jstat = 2;
|
---|
412 | }
|
---|
413 |
|
---|
414 | /* True anomaly. */
|
---|
415 | ae2 = ae / 2.0;
|
---|
416 | at = 2.0 * atan2(sqrt((1.0 + de) / (1.0 - de)) * sin(ae2),
|
---|
417 | cos(ae2));
|
---|
418 |
|
---|
419 | /* Distance (AU) and speed (radians per day). */
|
---|
420 | r = da * (1.0 - de * cos(ae));
|
---|
421 | v = GK * sqrt((1.0 + 1.0 / amas[np]) / (da * da * da));
|
---|
422 |
|
---|
423 | si2 = sin(di / 2.0);
|
---|
424 | xq = si2 * cos(dom);
|
---|
425 | xp = si2 * sin(dom);
|
---|
426 | tl = at + dp;
|
---|
427 | xsw = sin(tl);
|
---|
428 | xcw = cos(tl);
|
---|
429 | xm2 = 2.0 * (xp * xcw - xq * xsw);
|
---|
430 | xf = da / sqrt(1 - de * de);
|
---|
431 | ci2 = cos(di / 2.0);
|
---|
432 | xms = (de * sin(dp) + xsw) * xf;
|
---|
433 | xmc = (de * cos(dp) + xcw) * xf;
|
---|
434 | xpxq2 = 2 * xp * xq;
|
---|
435 |
|
---|
436 | /* Position (J2000.0 ecliptic x,y,z in AU). */
|
---|
437 | x = r * (xcw - xm2 * xp);
|
---|
438 | y = r * (xsw + xm2 * xq);
|
---|
439 | z = r * (-xm2 * ci2);
|
---|
440 |
|
---|
441 | /* Rotate to equatorial. */
|
---|
442 | pv[0][0] = x;
|
---|
443 | pv[0][1] = y * COSEPS - z * SINEPS;
|
---|
444 | pv[0][2] = y * SINEPS + z * COSEPS;
|
---|
445 |
|
---|
446 | /* Velocity (J2000.0 ecliptic xdot,ydot,zdot in AU/d). */
|
---|
447 | x = v * (( -1.0 + 2.0 * xp * xp) * xms + xpxq2 * xmc);
|
---|
448 | y = v * (( 1.0 - 2.0 * xq * xq) * xmc - xpxq2 * xms);
|
---|
449 | z = v * (2.0 * ci2 * (xp * xms + xq * xmc));
|
---|
450 |
|
---|
451 | /* Rotate to equatorial. */
|
---|
452 | pv[1][0] = x;
|
---|
453 | pv[1][1] = y * COSEPS - z * SINEPS;
|
---|
454 | pv[1][2] = y * SINEPS + z * COSEPS;
|
---|
455 |
|
---|
456 | }
|
---|
457 |
|
---|
458 | /* Return the status. */
|
---|
459 | return jstat;
|
---|
460 |
|
---|
461 | }
|
---|
462 | /*----------------------------------------------------------------------
|
---|
463 | **
|
---|
464 | **
|
---|
465 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
---|
466 | ** All rights reserved.
|
---|
467 | **
|
---|
468 | ** This library is derived, with permission, from the International
|
---|
469 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
---|
470 | ** available from http://www.iausofa.org.
|
---|
471 | **
|
---|
472 | ** The ERFA version is intended to retain identical functionality to
|
---|
473 | ** the SOFA library, but made distinct through different function and
|
---|
474 | ** file names, as set out in the SOFA license conditions. The SOFA
|
---|
475 | ** original has a role as a reference standard for the IAU and IERS,
|
---|
476 | ** and consequently redistribution is permitted only in its unaltered
|
---|
477 | ** state. The ERFA version is not subject to this restriction and
|
---|
478 | ** therefore can be included in distributions which do not support the
|
---|
479 | ** concept of "read only" software.
|
---|
480 | **
|
---|
481 | ** Although the intent is to replicate the SOFA API (other than
|
---|
482 | ** replacement of prefix names) and results (with the exception of
|
---|
483 | ** bugs; any that are discovered will be fixed), SOFA is not
|
---|
484 | ** responsible for any errors found in this version of the library.
|
---|
485 | **
|
---|
486 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
---|
487 | ** that you are using a library derived from SOFA, rather than SOFA
|
---|
488 | ** itself.
|
---|
489 | **
|
---|
490 | **
|
---|
491 | ** TERMS AND CONDITIONS
|
---|
492 | **
|
---|
493 | ** Redistribution and use in source and binary forms, with or without
|
---|
494 | ** modification, are permitted provided that the following conditions
|
---|
495 | ** are met:
|
---|
496 | **
|
---|
497 | ** 1 Redistributions of source code must retain the above copyright
|
---|
498 | ** notice, this list of conditions and the following disclaimer.
|
---|
499 | **
|
---|
500 | ** 2 Redistributions in binary form must reproduce the above copyright
|
---|
501 | ** notice, this list of conditions and the following disclaimer in
|
---|
502 | ** the documentation and/or other materials provided with the
|
---|
503 | ** distribution.
|
---|
504 | **
|
---|
505 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
---|
506 | ** the International Astronomical Union nor the names of its
|
---|
507 | ** contributors may be used to endorse or promote products derived
|
---|
508 | ** from this software without specific prior written permission.
|
---|
509 | **
|
---|
510 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
---|
511 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
---|
512 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
---|
513 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
---|
514 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
---|
515 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
---|
516 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
---|
517 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
---|
518 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
---|
519 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
---|
520 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
---|
521 | ** POSSIBILITY OF SUCH DAMAGE.
|
---|
522 | **
|
---|
523 | */
|
---|