Transformation from Proper Time on Earth to Coordinate Time in Solar System Barycentric SpaceTime Frame of Reference  Part One
Abstract
In order to obtain accurate computed values of Earthbased range and Doppler observables of a beep space probe, an expression is required for the time differencetτ, wheret is coordinate time in the solar system barycentric spacetime frame of reference and τ is proper time recorded on a fixed atomic clock on earth. This paper is part 1 of a twopart article which obtains an expression fortτ which is suitable for use in obtaining computed values of observations of a spacecraft or celestial body located anywhere in the solar system. The expression can also be used in the computation of Very Long Baseline Interferometry data types. Part 1 obtains an expression fortτ which is a function of position and velocity vectors of the major celestial bodies of the solar system and the atomic clock on Earth which reads τ. In Part 2, this expression will be transformed to a function of time and the Earthfixed coordinates of the atomic clock.
 Publication:

Celestial Mechanics
 Pub Date:
 January 1981
 DOI:
 10.1007/BF01228543
 Bibcode:
 1981CeMec..23...33M
 Keywords:

 Atomic Clocks;
 Reference Systems;
 Solar System;
 SpaceTime Functions;
 Time Measurement;
 Universal Time;
 Astronomical Coordinates;
 Earth Surface;
 Relativity;
 Very Long Base Interferometry;
 Astronomy