1 | #include "erfa.h"
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2 |
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3 | void eraPvtob(double elong, double phi, double hm,
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4 | double xp, double yp, double sp, double theta,
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5 | double pv[2][3])
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6 | /*
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7 | ** - - - - - - - - -
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8 | ** e r a P v t o b
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9 | ** - - - - - - - - -
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10 | **
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11 | ** Position and velocity of a terrestrial observing station.
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12 | **
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13 | ** Given:
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14 | ** elong double longitude (radians, east +ve, Note 1)
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15 | ** phi double latitude (geodetic, radians, Note 1)
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16 | ** hm double height above ref. ellipsoid (geodetic, m)
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17 | ** xp,yp double coordinates of the pole (radians, Note 2)
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18 | ** sp double the TIO locator s' (radians, Note 2)
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19 | ** theta double Earth rotation angle (radians, Note 3)
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20 | **
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21 | ** Returned:
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22 | ** pv double[2][3] position/velocity vector (m, m/s, CIRS)
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23 | **
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24 | ** Notes:
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25 | **
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26 | ** 1) The terrestrial coordinates are with respect to the ERFA_WGS84
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27 | ** reference ellipsoid.
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28 | **
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29 | ** 2) xp and yp are the coordinates (in radians) of the Celestial
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30 | ** Intermediate Pole with respect to the International Terrestrial
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31 | ** Reference System (see IERS Conventions), measured along the
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32 | ** meridians 0 and 90 deg west respectively. sp is the TIO locator
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33 | ** s', in radians, which positions the Terrestrial Intermediate
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34 | ** Origin on the equator. For many applications, xp, yp and
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35 | ** (especially) sp can be set to zero.
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36 | **
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37 | ** 3) If theta is Greenwich apparent sidereal time instead of Earth
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38 | ** rotation angle, the result is with respect to the true equator
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39 | ** and equinox of date, i.e. with the x-axis at the equinox rather
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40 | ** than the celestial intermediate origin.
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41 | **
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42 | ** 4) The velocity units are meters per UT1 second, not per SI second.
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43 | ** This is unlikely to have any practical consequences in the modern
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44 | ** era.
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45 | **
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46 | ** 5) No validation is performed on the arguments. Error cases that
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47 | ** could lead to arithmetic exceptions are trapped by the eraGd2gc
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48 | ** function, and the result set to zeros.
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49 | **
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50 | ** References:
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51 | **
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52 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
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53 | ** IERS Technical Note No. 32, BKG (2004)
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54 | **
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55 | ** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
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56 | ** the Astronomical Almanac, 3rd ed., University Science Books
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57 | ** (2013), Section 7.4.3.3.
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58 | **
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59 | ** Called:
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60 | ** eraGd2gc geodetic to geocentric transformation
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61 | ** eraPom00 polar motion matrix
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62 | ** eraTrxp product of transpose of r-matrix and p-vector
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63 | **
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64 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
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65 | ** Derived, with permission, from the SOFA library. See notes at end of file.
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66 | */
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67 | {
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68 | /* Earth rotation rate in radians per UT1 second */
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69 | const double OM = 1.00273781191135448 * ERFA_D2PI / ERFA_DAYSEC;
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70 |
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71 | double xyzm[3], rpm[3][3], xyz[3], x, y, z, s, c;
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72 |
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73 |
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74 | /* Geodetic to geocentric transformation (ERFA_WGS84). */
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75 | (void) eraGd2gc(1, elong, phi, hm, xyzm);
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76 |
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77 | /* Polar motion and TIO position. */
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78 | eraPom00(xp, yp, sp, rpm);
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79 | eraTrxp(rpm, xyzm, xyz);
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80 | x = xyz[0];
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81 | y = xyz[1];
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82 | z = xyz[2];
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83 |
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84 | /* Functions of ERA. */
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85 | s = sin(theta);
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86 | c = cos(theta);
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87 |
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88 | /* Position. */
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89 | pv[0][0] = c*x - s*y;
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90 | pv[0][1] = s*x + c*y;
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91 | pv[0][2] = z;
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92 |
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93 | /* Velocity. */
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94 | pv[1][0] = OM * ( -s*x - c*y );
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95 | pv[1][1] = OM * ( c*x - s*y );
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96 | pv[1][2] = 0.0;
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97 |
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98 | /* Finished. */
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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) 2013-2017, 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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