#include "erfa.h" int eraTdbtcb(double tdb1, double tdb2, double *tcb1, double *tcb2) /* ** - - - - - - - - - - ** e r a T d b t c b ** - - - - - - - - - - ** ** Time scale transformation: Barycentric Dynamical Time, TDB, to ** Barycentric Coordinate Time, TCB. ** ** Given: ** tdb1,tdb2 double TDB as a 2-part Julian Date ** ** Returned: ** tcb1,tcb2 double TCB as a 2-part Julian Date ** ** Returned (function value): ** int status: 0 = OK ** ** Notes: ** ** 1) tdb1+tdb2 is Julian Date, apportioned in any convenient way ** between the two arguments, for example where tdb1 is the Julian ** Day Number and tdb2 is the fraction of a day. The returned ** tcb1,tcb2 follow suit. ** ** 2) The 2006 IAU General Assembly introduced a conventional linear ** transformation between TDB and TCB. This transformation ** compensates for the drift between TCB and terrestrial time TT, ** and keeps TDB approximately centered on TT. Because the ** relationship between TT and TCB depends on the adopted solar ** system ephemeris, the degree of alignment between TDB and TT over ** long intervals will vary according to which ephemeris is used. ** Former definitions of TDB attempted to avoid this problem by ** stipulating that TDB and TT should differ only by periodic ** effects. This is a good description of the nature of the ** relationship but eluded precise mathematical formulation. The ** conventional linear relationship adopted in 2006 sidestepped ** these difficulties whilst delivering a TDB that in practice was ** consistent with values before that date. ** ** 3) TDB is essentially the same as Teph, the time argument for the ** JPL solar system ephemerides. ** ** Reference: ** ** IAU 2006 Resolution B3 ** ** Copyright (C) 2013-2016, NumFOCUS Foundation. ** Derived, with permission, from the SOFA library. See notes at end of file. */ { /* 1977 Jan 1 00:00:32.184 TT, as two-part JD */ static const double t77td = ERFA_DJM0 + ERFA_DJM77; static const double t77tf = ERFA_TTMTAI/ERFA_DAYSEC; /* TDB (days) at TAI 1977 Jan 1.0 */ static const double tdb0 = ERFA_TDB0/ERFA_DAYSEC; /* TDB to TCB rate */ static const double elbb = ERFA_ELB/(1.0-ERFA_ELB); double d, f; /* Result, preserving date format but safeguarding precision. */ if ( tdb1 > tdb2 ) { d = t77td - tdb1; f = tdb2 - tdb0; *tcb1 = tdb1; *tcb2 = f - ( d - ( f - t77tf ) ) * elbb; } else { d = t77td - tdb2; f = tdb1 - tdb0; *tcb1 = f + ( d - ( f - t77tf ) ) * elbb; *tcb2 = tdb2; } /* Status (always OK). */ return 0; } /*---------------------------------------------------------------------- ** ** ** 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. ** */