Transformation from proper time on earth to coordinate time in solar system barycentric space-time frame of reference. I. II

Details Transformation from proper time on earth to coordinate time in solar system barycentric space-time frame of reference. I. II Transformation from proper time on earth to coordinate time in solar system barycentric space-time frame of reference. I. II

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23...33m&link_type=abstract

Celestial Mechanics, vol. 23, Jan. 1981, p. 33-56.

Astronomy and Astrophysics

Astronomy

53

Atomic Clocks, Reference Systems, Solar System, Space-Time Functions, Time Measurement, Universal Time, Astronomical Coordinates, Earth Surface, Relativity, Very Long Base Interferometry

Scientific paper

It is noted that in order to obtain accurate computed values of earth-based range and Doppler observables of a deep space probe, an expression is required for the difference between coordinate time (t) in the solar system barycentric space-time frame of reference and proper time (tau) recorded on a fixed atomic clock on earth. This is part 1 of a two-part article which obtains an expression for the coordinate time/proper time difference that can be used in deriving computed values of observations of a spacecraft or celestial body located anywhere in the solar system. The expression can also be used in computing Very Long Baseline Interferometry data types. In part 1, expression for the coordinate time/proper time difference is obtained that 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 proper time. This expression is transformed in part 2 to a function of time and the earth-fixed coordinates of the atomic clock.

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