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author | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
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committer | Joseph Hunkeler <jhunkeler@gmail.com> | 2015-07-08 20:46:52 -0400 |
commit | fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4 (patch) | |
tree | bdda434976bc09c864f2e4fa6f16ba1952b1e555 /math/slalib/doc/rcc.hlp | |
download | iraf-linux-fa080de7afc95aa1c19a6e6fc0e0708ced2eadc4.tar.gz |
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diff --git a/math/slalib/doc/rcc.hlp b/math/slalib/doc/rcc.hlp new file mode 100644 index 00000000..fef7f578 --- /dev/null +++ b/math/slalib/doc/rcc.hlp @@ -0,0 +1,83 @@ +.help rcc Jun99 "Slalib Package" +.nf + + DOUBLE PRECISION FUNCTION slRCC (TDB, UT1, WL, U, V) + + - - - - + R C C + - - - - + + Relativistic clock correction: the difference between proper time at + a point on the surface of the Earth and coordinate time in the Solar + System barycentric space-time frame of reference. + + The proper time is Terrestrial Time TT; the coordinate + time is an implementation of the Barycentric Dynamical Time TDB. + + Given: + TDB dp coordinate time (MJD: JD-2400000.5) + UT1 dp universal time (fraction of one day) + WL dp clock longitude (radians west) + U dp clock distance from Earth spin axis (km) + V dp clock distance north of Earth equatorial plane (km) + + Returned: + The clock correction, TDB-TT, in seconds. TDB may be considered + to be the coordinate time in the Solar System barycentre frame of + reference, and TT is the proper time given by clocks at mean sea + level on the Earth. + + The result has a main (annual) sinusoidal term of amplitude + approximately 0.00166 seconds, plus planetary terms up to about + 20 microseconds, and lunar and diurnal terms up to 2 microseconds. + The variation arises from the transverse Doppler effect and the + gravitational red-shift as the observer varies in speed and moves + through different gravitational potentials. + + The argument TDB is, strictly, the barycentric coordinate time; + however, the terrestrial proper time (TT) can in practice be used. + + The geocentric model is that of Fairhead & Bretagnon (1990), in its + full form. It was supplied by Fairhead (private communication) as a + FORTRAN subroutine. The original Fairhead routine used explicit + formulae, in such large numbers that problems were experienced with + certain compilers (Microsoft Fortran on PC aborted with stack + overflow, Convex compiled successfully but extremely slowly). The + present implementation is a complete recoding, with the original + Fairhead coefficients held in a table. To optimize arithmetic + precision, the terms are accumulated in reverse order, smallest + first. A number of other coding changes were made, in order to match + the calling sequence of previous versions of the present routine, and + to comply with Starlink programming standards. Under VAX/VMS, the + numerical results compared with those from the Fairhead form are + essentially unaffected by the changes, the differences being at the + 10^-20 sec level. + + The topocentric part of the model is from Moyer (1981) and + Murray (1983). + + During the interval 1950-2050, the absolute accuracy is better + than +/- 3 nanoseconds relative to direct numerical integrations + using the JPL DE200/LE200 solar system ephemeris. + + The IAU definition of TDB is that it must differ from TT only by + periodic terms. Though practical, this is an imprecise definition + which ignores the existence of very long-period and secular effects + in the dynamics of the solar system. As a consequence, different + implementations of TDB will, in general, differ in zero-point and + will drift linearly relative to one other. + + References: + Bretagnon P, 1982 Astron. Astrophys., 114, 278-288. + Fairhead L & Bretagnon P, 1990, Astron. Astrophys., 229, 240-247. + Meeus J, 1984, l'Astronomie, 348-354. + Moyer T D, 1981, Cel. Mech., 23, 33. + Murray C A, 1983, Vectorial Astrometry, Adam Hilger. + + P.T.Wallace Starlink 10 November 1995 + + Copyright (C) 1995 Rutherford Appleton Laboratory + Copyright (C) 1995 Association of Universities for Research in Astronomy Inc. + +.fi +.endhelp |