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#include "erfa.h" |
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void eraPvtob(double elong, double phi, double hm, |
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double xp, double yp, double sp, double theta, |
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double pv[2][3]) |
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/* |
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** - - - - - - - - - |
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** e r a P v t o b |
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** - - - - - - - - - |
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** |
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** Position and velocity of a terrestrial observing station. |
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** |
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** Given: |
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** elong double longitude (radians, east +ve, Note 1) |
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** phi double latitude (geodetic, radians, Note 1) |
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** hm double height above ref. ellipsoid (geodetic, m) |
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** xp,yp double coordinates of the pole (radians, Note 2) |
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** sp double the TIO locator s' (radians, Note 2) |
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** theta double Earth rotation angle (radians, Note 3) |
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** |
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** Returned: |
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** pv double[2][3] position/velocity vector (m, m/s, CIRS) |
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** |
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** Notes: |
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** |
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** 1) The terrestrial coordinates are with respect to the ERFA_WGS84 |
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** reference ellipsoid. |
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** |
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** 2) xp and yp are the coordinates (in radians) of the Celestial |
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** Intermediate Pole with respect to the International Terrestrial |
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** Reference System (see IERS Conventions), measured along the |
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** meridians 0 and 90 deg west respectively. sp is the TIO locator |
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** s', in radians, which positions the Terrestrial Intermediate |
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** Origin on the equator. For many applications, xp, yp and |
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** (especially) sp can be set to zero. |
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** |
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** 3) If theta is Greenwich apparent sidereal time instead of Earth |
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** rotation angle, the result is with respect to the true equator |
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** and equinox of date, i.e. with the x-axis at the equinox rather |
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** than the celestial intermediate origin. |
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** |
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** 4) The velocity units are meters per UT1 second, not per SI second. |
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** This is unlikely to have any practical consequences in the modern |
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** era. |
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** |
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** 5) No validation is performed on the arguments. Error cases that |
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** could lead to arithmetic exceptions are trapped by the eraGd2gc |
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** function, and the result set to zeros. |
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** |
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** References: |
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** |
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** McCarthy, D. D., Petit, G. (eds.), IERS Conventions (2003), |
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** IERS Technical Note No. 32, BKG (2004) |
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** |
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** Urban, S. & Seidelmann, P. K. (eds), Explanatory Supplement to |
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** the Astronomical Almanac, 3rd ed., University Science Books |
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** (2013), Section 7.4.3.3. |
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** |
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** Called: |
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** eraGd2gc geodetic to geocentric transformation |
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** eraPom00 polar motion matrix |
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** eraTrxp product of transpose of r-matrix and p-vector |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** Derived, with permission, from the SOFA library. See notes at end of file. |
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*/ |
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{ |
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/* Earth rotation rate in radians per UT1 second */ |
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const double OM = 1.00273781191135448 * ERFA_D2PI / ERFA_DAYSEC; |
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double xyzm[3], rpm[3][3], xyz[3], x, y, z, s, c; |
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/* Geodetic to geocentric transformation (ERFA_WGS84). */ |
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(void) eraGd2gc(1, elong, phi, hm, xyzm); |
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/* Polar motion and TIO position. */ |
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eraPom00(xp, yp, sp, rpm); |
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eraTrxp(rpm, xyzm, xyz); |
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x = xyz[0]; |
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y = xyz[1]; |
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z = xyz[2]; |
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/* Functions of ERA. */ |
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s = sin(theta); |
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c = cos(theta); |
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/* Position. */ |
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pv[0][0] = c*x - s*y; |
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pv[0][1] = s*x + c*y; |
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pv[0][2] = z; |
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/* Velocity. */ |
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pv[1][0] = OM * ( -s*x - c*y ); |
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pv[1][1] = OM * ( c*x - s*y ); |
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pv[1][2] = 0.0; |
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/* Finished. */ |
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} |
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/*---------------------------------------------------------------------- |
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** |
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** |
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** Copyright (C) 2013-2020, NumFOCUS Foundation. |
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** All rights reserved. |
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** |
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** This library is derived, with permission, from the International |
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** Astronomical Union's "Standards of Fundamental Astronomy" library, |
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** available from http://www.iausofa.org. |
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** |
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** The ERFA version is intended to retain identical functionality to |
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** the SOFA library, but made distinct through different function and |
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** file names, as set out in the SOFA license conditions. The SOFA |
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** original has a role as a reference standard for the IAU and IERS, |
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** and consequently redistribution is permitted only in its unaltered |
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** state. The ERFA version is not subject to this restriction and |
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** therefore can be included in distributions which do not support the |
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** concept of "read only" software. |
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** |
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** Although the intent is to replicate the SOFA API (other than |
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** replacement of prefix names) and results (with the exception of |
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** bugs; any that are discovered will be fixed), SOFA is not |
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** responsible for any errors found in this version of the library. |
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** |
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** If you wish to acknowledge the SOFA heritage, please acknowledge |
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** that you are using a library derived from SOFA, rather than SOFA |
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** itself. |
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** |
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** |
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** TERMS AND CONDITIONS |
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** |
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** Redistribution and use in source and binary forms, with or without |
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** modification, are permitted provided that the following conditions |
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** are met: |
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** |
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** 1 Redistributions of source code must retain the above copyright |
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** notice, this list of conditions and the following disclaimer. |
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** |
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** 2 Redistributions in binary form must reproduce the above copyright |
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** notice, this list of conditions and the following disclaimer in |
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** the documentation and/or other materials provided with the |
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** distribution. |
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** |
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** 3 Neither the name of the Standards Of Fundamental Astronomy Board, |
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** the International Astronomical Union nor the names of its |
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** contributors may be used to endorse or promote products derived |
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** from this software without specific prior written permission. |
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** |
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** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS |
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** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT |
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** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS |
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** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE |
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** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, |
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, |
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** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; |
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** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER |
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** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT |
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** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN |
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** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE |
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** POSSIBILITY OF SUCH DAMAGE. |
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** |
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*/ |