Relativistic reference systems and motion of test bodies in the vicinity of the Earth.

Physics

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Reference Systems: Relativity Theory

Scientific paper

A relativistic theory of constructing nonrotating harmonic reference systems (RS) is developed. The theory enables one to produce the celestial RS for solar-system dynamics neglecting the gravitational field of the Galaxy. Particular attention is focused on the barycentric RS (BRS) with the origin at the solar-system barycentre and the geocentric RS (GRS) with the origin at the geocentre. The relationship between BRS and GRS is established by the asymptotic matching technique. The explicit transformation formulae permit to prolonge the GRS coordinates beyond the lunar orbit to cover actually all the solar-system space. The GRS equations of the Earth satellite motion have been deduced. The relativistic right-hand members of these equations contain Schwarzschild, Lense-Thirring and quadrupole terrestrial perturbations as well as tidal perturbations due to the Sun, the Moon and the major planets.

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