Relativistic time scales in the solar system

Statistics – Computation

Scientific paper

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Gravitational Fields, Relativistic Theory, Solar System, Space-Time Functions, Celestial Bodies, Computational Astrophysics, Earth Surface, Equations Of Motion

Scientific paper

A self-consistent theory of solar-system time scales is developed analytically on the basis of a hierarchy of dynamically nonrotating harmonic reference systems in a four-dimensional space-time of general relativity theory. The aim is to relate barycentric and terrestrial time scales to coordinate times in the corresponding general-relativistic reference systems for use in astronomy and geodesy. The theoretical basis of the method is outlined; the construction of barycentric, geocentric, topocentric, and satellite reference systems is explained; the asymptotic matching technique is applied to obtain transformations among the systems; and the practical realization of the systems with length and time units is discussed.

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