| 1 | #include "erfa.h"
|
|---|
| 2 |
|
|---|
| 3 | void eraC2tcio(double rc2i[3][3], double era, double rpom[3][3],
|
|---|
| 4 | double rc2t[3][3])
|
|---|
| 5 | /*
|
|---|
| 6 | ** - - - - - - - - - -
|
|---|
| 7 | ** e r a C 2 t c i o
|
|---|
| 8 | ** - - - - - - - - - -
|
|---|
| 9 | **
|
|---|
| 10 | ** Assemble the celestial to terrestrial matrix from CIO-based
|
|---|
| 11 | ** components (the celestial-to-intermediate matrix, the Earth Rotation
|
|---|
| 12 | ** Angle and the polar motion matrix).
|
|---|
| 13 | **
|
|---|
| 14 | ** Given:
|
|---|
| 15 | ** rc2i double[3][3] celestial-to-intermediate matrix
|
|---|
| 16 | ** era double Earth rotation angle (radians)
|
|---|
| 17 | ** rpom double[3][3] polar-motion matrix
|
|---|
| 18 | **
|
|---|
| 19 | ** Returned:
|
|---|
| 20 | ** rc2t double[3][3] celestial-to-terrestrial matrix
|
|---|
| 21 | **
|
|---|
| 22 | ** Notes:
|
|---|
| 23 | **
|
|---|
| 24 | ** 1) This function constructs the rotation matrix that transforms
|
|---|
| 25 | ** vectors in the celestial system into vectors in the terrestrial
|
|---|
| 26 | ** system. It does so starting from precomputed components, namely
|
|---|
| 27 | ** the matrix which rotates from celestial coordinates to the
|
|---|
| 28 | ** intermediate frame, the Earth rotation angle and the polar motion
|
|---|
| 29 | ** matrix. One use of the present function is when generating a
|
|---|
| 30 | ** series of celestial-to-terrestrial matrices where only the Earth
|
|---|
| 31 | ** Rotation Angle changes, avoiding the considerable overhead of
|
|---|
| 32 | ** recomputing the precession-nutation more often than necessary to
|
|---|
| 33 | ** achieve given accuracy objectives.
|
|---|
| 34 | **
|
|---|
| 35 | ** 2) The relationship between the arguments is as follows:
|
|---|
| 36 | **
|
|---|
| 37 | ** [TRS] = RPOM * R_3(ERA) * rc2i * [CRS]
|
|---|
| 38 | **
|
|---|
| 39 | ** = rc2t * [CRS]
|
|---|
| 40 | **
|
|---|
| 41 | ** where [CRS] is a vector in the Geocentric Celestial Reference
|
|---|
| 42 | ** System and [TRS] is a vector in the International Terrestrial
|
|---|
| 43 | ** Reference System (see IERS Conventions 2003).
|
|---|
| 44 | **
|
|---|
| 45 | ** Called:
|
|---|
| 46 | ** eraCr copy r-matrix
|
|---|
| 47 | ** eraRz rotate around Z-axis
|
|---|
| 48 | ** eraRxr product of two r-matrices
|
|---|
| 49 | **
|
|---|
| 50 | ** Reference:
|
|---|
| 51 | **
|
|---|
| 52 | ** McCarthy, D. D., Petit, G. (eds.), 2004, IERS Conventions (2003),
|
|---|
| 53 | ** IERS Technical Note No. 32, BKG
|
|---|
| 54 | **
|
|---|
| 55 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
|
|---|
| 56 | ** Derived, with permission, from the SOFA library. See notes at end of file.
|
|---|
| 57 | */
|
|---|
| 58 | {
|
|---|
| 59 | double r[3][3];
|
|---|
| 60 |
|
|---|
| 61 |
|
|---|
| 62 | /* Construct the matrix. */
|
|---|
| 63 | eraCr(rc2i, r);
|
|---|
| 64 | eraRz(era, r);
|
|---|
| 65 | eraRxr(rpom, r, rc2t);
|
|---|
| 66 |
|
|---|
| 67 | return;
|
|---|
| 68 |
|
|---|
| 69 | }
|
|---|
| 70 | /*----------------------------------------------------------------------
|
|---|
| 71 | **
|
|---|
| 72 | **
|
|---|
| 73 | ** Copyright (C) 2013-2017, NumFOCUS Foundation.
|
|---|
| 74 | ** All rights reserved.
|
|---|
| 75 | **
|
|---|
| 76 | ** This library is derived, with permission, from the International
|
|---|
| 77 | ** Astronomical Union's "Standards of Fundamental Astronomy" library,
|
|---|
| 78 | ** available from http://www.iausofa.org.
|
|---|
| 79 | **
|
|---|
| 80 | ** The ERFA version is intended to retain identical functionality to
|
|---|
| 81 | ** the SOFA library, but made distinct through different function and
|
|---|
| 82 | ** file names, as set out in the SOFA license conditions. The SOFA
|
|---|
| 83 | ** original has a role as a reference standard for the IAU and IERS,
|
|---|
| 84 | ** and consequently redistribution is permitted only in its unaltered
|
|---|
| 85 | ** state. The ERFA version is not subject to this restriction and
|
|---|
| 86 | ** therefore can be included in distributions which do not support the
|
|---|
| 87 | ** concept of "read only" software.
|
|---|
| 88 | **
|
|---|
| 89 | ** Although the intent is to replicate the SOFA API (other than
|
|---|
| 90 | ** replacement of prefix names) and results (with the exception of
|
|---|
| 91 | ** bugs; any that are discovered will be fixed), SOFA is not
|
|---|
| 92 | ** responsible for any errors found in this version of the library.
|
|---|
| 93 | **
|
|---|
| 94 | ** If you wish to acknowledge the SOFA heritage, please acknowledge
|
|---|
| 95 | ** that you are using a library derived from SOFA, rather than SOFA
|
|---|
| 96 | ** itself.
|
|---|
| 97 | **
|
|---|
| 98 | **
|
|---|
| 99 | ** TERMS AND CONDITIONS
|
|---|
| 100 | **
|
|---|
| 101 | ** Redistribution and use in source and binary forms, with or without
|
|---|
| 102 | ** modification, are permitted provided that the following conditions
|
|---|
| 103 | ** are met:
|
|---|
| 104 | **
|
|---|
| 105 | ** 1 Redistributions of source code must retain the above copyright
|
|---|
| 106 | ** notice, this list of conditions and the following disclaimer.
|
|---|
| 107 | **
|
|---|
| 108 | ** 2 Redistributions in binary form must reproduce the above copyright
|
|---|
| 109 | ** notice, this list of conditions and the following disclaimer in
|
|---|
| 110 | ** the documentation and/or other materials provided with the
|
|---|
| 111 | ** distribution.
|
|---|
| 112 | **
|
|---|
| 113 | ** 3 Neither the name of the Standards Of Fundamental Astronomy Board,
|
|---|
| 114 | ** the International Astronomical Union nor the names of its
|
|---|
| 115 | ** contributors may be used to endorse or promote products derived
|
|---|
| 116 | ** from this software without specific prior written permission.
|
|---|
| 117 | **
|
|---|
| 118 | ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|---|
| 119 | ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
|
|---|
| 120 | ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
|
|---|
| 121 | ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
|
|---|
| 122 | ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
|
|---|
| 123 | ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
|
|---|
| 124 | ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
|
|---|
| 125 | ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
|
|---|
| 126 | ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
|
|---|
| 127 | ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
|
|---|
| 128 | ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|---|
| 129 | ** POSSIBILITY OF SUCH DAMAGE.
|
|---|
| 130 | **
|
|---|
| 131 | */
|
|---|