| 1 | #include "erfa.h"
|
|---|
| 2 |
|
|---|
| 3 | void eraPvtob(double elong, double phi, double hm,
|
|---|
| 4 | double xp, double yp, double sp, double theta,
|
|---|
| 5 | double pv[2][3])
|
|---|
| 6 | /*
|
|---|
| 7 | ** - - - - - - - - -
|
|---|
| 8 | ** e r a P v t o b
|
|---|
| 9 | ** - - - - - - - - -
|
|---|
| 10 | **
|
|---|
| 11 | ** Position and velocity of a terrestrial observing station.
|
|---|
| 12 | **
|
|---|
| 13 | ** Given:
|
|---|
| 14 | ** elong double longitude (radians, east +ve, Note 1)
|
|---|
| 15 | ** phi double latitude (geodetic, radians, Note 1)
|
|---|
| 16 | ** hm double height above ref. ellipsoid (geodetic, m)
|
|---|
| 17 | ** xp,yp double coordinates of the pole (radians, Note 2)
|
|---|
| 18 | ** sp double the TIO locator s' (radians, Note 2)
|
|---|
| 19 | ** theta double Earth rotation angle (radians, Note 3)
|
|---|
| 20 | **
|
|---|
| 21 | ** Returned:
|
|---|
| 22 | ** pv double[2][3] position/velocity vector (m, m/s, CIRS)
|
|---|
| 23 | **
|
|---|
| 24 | ** Notes:
|
|---|
| 25 | **
|
|---|
| 26 | ** 1) The terrestrial coordinates are with respect to the ERFA_WGS84
|
|---|
| 27 | ** reference ellipsoid.
|
|---|
| 28 | **
|
|---|
| 29 | ** 2) xp and yp are the coordinates (in radians) of the Celestial
|
|---|
| 30 | ** Intermediate Pole with respect to the International Terrestrial
|
|---|
| 31 | ** Reference System (see IERS Conventions), measured along the
|
|---|
| 32 | ** meridians 0 and 90 deg west respectively. sp is the TIO locator
|
|---|
| 33 | ** s', in radians, which positions the Terrestrial Intermediate
|
|---|
| 34 | ** Origin on the equator. For many applications, xp, yp and
|
|---|
| 35 | ** (especially) sp can be set to zero.
|
|---|
| 36 | **
|
|---|
| 37 | ** 3) If theta is Greenwich apparent sidereal time instead of Earth
|
|---|
| 38 | ** rotation angle, the result is with respect to the true equator
|
|---|
| 39 | ** and equinox of date, i.e. with the x-axis at the equinox rather
|
|---|
| 40 | ** than the celestial intermediate origin.
|
|---|
| 41 | **
|
|---|
| 42 | ** 4) The velocity units are meters per UT1 second, not per SI second.
|
|---|
| 43 | ** This is unlikely to have any practical consequences in the modern
|
|---|
| 44 | ** era.
|
|---|
| 45 | **
|
|---|
| 46 | ** 5) No validation is performed on the arguments. Error cases that
|
|---|
| 47 | ** could lead to arithmetic exceptions are trapped by the eraGd2gc
|
|---|
| 48 | ** function, and the result set to zeros.
|
|---|
| 49 | **
|
|---|
| 50 | ** References:
|
|---|
| 51 | **
|
|---|
| 52 | ** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003),
|
|---|
| 53 | ** IERS Technical Note No. 32, BKG (2004)
|
|---|
| 54 | **
|
|---|
| 55 | ** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to
|
|---|
| 56 | ** the Astronomical Almanac, 3rd ed., University Science Books
|
|---|
| 57 | ** (2013), Section 7.4.3.3.
|
|---|
| 58 | **
|
|---|
| 59 | ** Called:
|
|---|
| 60 | ** eraGd2gc geodetic to geocentric transformation
|
|---|
| 61 | ** eraPom00 polar motion matrix
|
|---|
| 62 | ** eraTrxp product of transpose of r-matrix and p-vector
|
|---|
| 63 | **
|
|---|
| 64 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 65 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
|---|
| 66 | */
|
|---|
| 67 | {
|
|---|
| 68 | /* Earth rotation rate in radians per UT1 second */
|
|---|
| 69 | const double OM = 1.00273781191135448 * ERFA_D2PI / ERFA_DAYSEC;
|
|---|
| 70 |
|
|---|
| 71 | double xyzm[3], rpm[3][3], xyz[3], x, y, z, s, c;
|
|---|
| 72 |
|
|---|
| 73 |
|
|---|
| 74 | /* Geodetic to geocentric transformation (ERFA_WGS84). */
|
|---|
| 75 | (void) eraGd2gc(1, elong, phi, hm, xyzm);
|
|---|
| 76 |
|
|---|
| 77 | /* Polar motion and TIO position. */
|
|---|
| 78 | eraPom00(xp, yp, sp, rpm);
|
|---|
| 79 | eraTrxp(rpm, xyzm, xyz);
|
|---|
| 80 | x = xyz[0];
|
|---|
| 81 | y = xyz[1];
|
|---|
| 82 | z = xyz[2];
|
|---|
| 83 |
|
|---|
| 84 | /* Functions of ERA. */
|
|---|
| 85 | s = sin(theta);
|
|---|
| 86 | c = cos(theta);
|
|---|
| 87 |
|
|---|
| 88 | /* Position. */
|
|---|
| 89 | pv[0][0] = c*x - s*y;
|
|---|
| 90 | pv[0][1] = s*x + c*y;
|
|---|
| 91 | pv[0][2] = z;
|
|---|
| 92 |
|
|---|
| 93 | /* Velocity. */
|
|---|
| 94 | pv[1][0] = OM * ( -s*x - c*y );
|
|---|
| 95 | pv[1][1] = OM * ( c*x - s*y );
|
|---|
| 96 | pv[1][2] = 0.0;
|
|---|
| 97 |
|
|---|
| 98 | /* Finished. */
|
|---|
| 99 |
|
|---|
| 100 | }
|
|---|
| 101 | /*----------------------------------------------------------------------
|
|---|
| 102 | **
|
|---|
| 103 | **
|
|---|
| 104 | ** Copyright (C) 2013-2016, NumFOCUS Foundation.
|
|---|
| 105 | ** All rights reserved.
|
|---|
| 106 | **
|
|---|
| 107 | ** This library is derived, with permission, from the International
|
|---|
| 108 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
|---|
| 109 | ** available from http://www.iausofa.org.
|
|---|
| 110 | **
|
|---|
| 111 | ** The ERFA version is intended to retain identical functionality to
|
|---|
| 112 | ** the SOFA library, but made distinct through different function and
|
|---|
| 113 | ** file names, as set out in the SOFA license conditions. The SOFA
|
|---|
| 114 | ** original has a role as a reference standard for the IAU and IERS,
|
|---|
| 115 | ** and consequently redistribution is permitted only in its unaltered
|
|---|
| 116 | ** state. The ERFA version is not subject to this restriction and
|
|---|
| 117 | ** therefore can be included in distributions which do not support the
|
|---|
| 118 | ** concept of "read only" software.
|
|---|
| 119 | **
|
|---|
| 120 | ** Although the intent is to replicate the SOFA API (other than
|
|---|
| 121 | ** replacement of prefix names) and results (with the exception of
|
|---|
| 122 | ** bugs; any that are discovered will be fixed), SOFA is not
|
|---|
| 123 | ** responsible for any errors found in this version of the library.
|
|---|
| 124 | **
|
|---|
| 125 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
|---|
| 126 | ** that you are using a library derived from SOFA, rather than SOFA
|
|---|
| 127 | ** itself.
|
|---|
| 128 | **
|
|---|
| 129 | **
|
|---|
| 130 | ** TERMS AND CONDITIONS
|
|---|
| 131 | **
|
|---|
| 132 | ** Redistribution and use in source and binary forms, with or without
|
|---|
| 133 | ** modification, are permitted provided that the following conditions
|
|---|
| 134 | ** are met:
|
|---|
| 135 | **
|
|---|
| 136 | ** 1 Redistributions of source code must retain the above copyright
|
|---|
| 137 | ** notice, this list of conditions and the following disclaimer.
|
|---|
| 138 | **
|
|---|
| 139 | ** 2 Redistributions in binary form must reproduce the above copyright
|
|---|
| 140 | ** notice, this list of conditions and the following disclaimer in
|
|---|
| 141 | ** the documentation and/or other materials provided with the
|
|---|
| 142 | ** distribution.
|
|---|
| 143 | **
|
|---|
| 144 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
|---|
| 145 | ** the International Astronomical Union nor the names of its
|
|---|
| 146 | ** contributors may be used to endorse or promote products derived
|
|---|
| 147 | ** from this software without specific prior written permission.
|
|---|
| 148 | **
|
|---|
| 149 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|---|
| 150 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
|---|
| 151 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
|---|
| 152 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
|---|
| 153 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
|---|
| 154 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
|---|
| 155 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|---|
| 156 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
|---|
| 157 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|---|
| 158 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
|---|
| 159 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|---|
| 160 | ** POSSIBILITY OF SUCH DAMAGE.
|
|---|
| 161 | **
|
|---|
| 162 | */
|
|---|