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+.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