#include "erfa.h" void eraEcm06(double date1, double date2, double rm[3][3]) /* ** - - - - - - - - - ** e r a E c m 0 6 ** - - - - - - - - - ** ** ICRS equatorial to ecliptic rotation matrix, IAU 2006. ** ** Given: ** date1,date2 double TT as a 2-part Julian date (Note 1) ** ** Returned: ** rm double[3][3] ICRS to ecliptic rotation matrix ** ** Notes: ** ** 1) The TT date date1+date2 is a Julian Date, apportioned in any ** convenient way between the two arguments. For example, ** JD(TT)=2450123.7 could be expressed in any of these ways, ** among others: ** ** date1 date2 ** ** 2450123.7 0.0 (JD method) ** 2451545.0 -1421.3 (J2000 method) ** 2400000.5 50123.2 (MJD method) ** 2450123.5 0.2 (date & time method) ** ** The JD method is the most natural and convenient to use in ** cases where the loss of several decimal digits of resolution ** is acceptable. The J2000 method is best matched to the way ** the argument is handled internally and will deliver the ** optimum resolution. The MJD method and the date & time methods ** are both good compromises between resolution and convenience. ** ** 1) The matrix is in the sense ** ** E_ep = rm x P_ICRS, ** ** where P_ICRS is a vector with respect to ICRS right ascension ** and declination axes and E_ep is the same vector with respect to ** the (inertial) ecliptic and equinox of date. ** ** 2) P_ICRS is a free vector, merely a direction, typically of unit ** magnitude, and not bound to any particular spatial origin, such ** as the Earth, Sun or SSB. No assumptions are made about whether ** it represents starlight and embodies astrometric effects such as ** parallax or aberration. The transformation is approximately that ** between mean J2000.0 right ascension and declination and ecliptic ** longitude and latitude, with only frame bias (always less than ** 25 mas) to disturb this classical picture. ** ** Called: ** eraObl06 mean obliquity, IAU 2006 ** eraPmat06 PB matrix, IAU 2006 ** eraIr initialize r-matrix to identity ** eraRx rotate around X-axis ** eraRxr product of two r-matrices ** ** Copyright (C) 2013-2016, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { double ob, bp[3][3], e[3][3]; /* Obliquity, IAU 2006. */ ob = eraObl06(date1, date2); /* Precession-bias matrix, IAU 2006. */ eraPmat06(date1, date2, bp); /* Equatorial of date to ecliptic matrix. */ eraIr(e); eraRx(ob, e); /* ICRS to ecliptic coordinates rotation matrix, IAU 2006. */ eraRxr(e, bp, rm); } /*---------------------------------------------------------------------- ** ** ** Copyright (C) 2013-2016, NumFOCUS Foundation. ** All rights reserved. ** ** This library is derived, with permission, from the International ** Astronomical Union's "Standards of Fundamental Astronomy" library, ** available from http://www.iausofa.org. ** ** The ERFA version is intended to retain identical functionality to ** the SOFA library, but made distinct through different function and ** file names, as set out in the SOFA license conditions. The SOFA ** original has a role as a reference standard for the IAU and IERS, ** and consequently redistribution is permitted only in its unaltered ** state. The ERFA version is not subject to this restriction and ** therefore can be included in distributions which do not support the ** concept of "read only" software. ** ** Although the intent is to replicate the SOFA API (other than ** replacement of prefix names) and results (with the exception of ** bugs; any that are discovered will be fixed), SOFA is not ** responsible for any errors found in this version of the library. ** ** If you wish to acknowledge the SOFA heritage, please acknowledge ** that you are using a library derived from SOFA, rather than SOFA ** itself. ** ** ** TERMS AND CONDITIONS ** ** Redistribution and use in source and binary forms, with or without ** modification, are permitted provided that the following conditions ** are met: ** ** 1 Redistributions of source code must retain the above copyright ** notice, this list of conditions and the following disclaimer. ** ** 2 Redistributions in binary form must reproduce the above copyright ** notice, this list of conditions and the following disclaimer in ** the documentation and/or other materials provided with the ** distribution. ** ** 3 Neither the name of the Standards Of Fundamental Astronomy Board, ** the International Astronomical Union nor the names of its ** contributors may be used to endorse or promote products derived ** from this software without specific prior written permission. ** ** THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ** "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT ** LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS ** FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE ** COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, ** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, ** BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; ** LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER ** CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT ** LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ** ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE ** POSSIBILITY OF SUCH DAMAGE. ** */