Comparison of relativistic effects in barycentric and Earth-centered coordinates and implications for determination of GM for Earth

Mathematics

Scientific paper

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Coordinates, Earth (Planet), Gravitational Constant, Planetary Mass, Relativistic Effects, Center Of Gravity, Lageos (Satellite), Laser Range Finders, Mathematical Models

Scientific paper

The results of an investigation of relativistic effects which have an influence on the determination of GM sub E (M sub E is the mass of the Earth, G is the Newtonian gravitaional constant) are summarized. The detailed arguments and derivations are discussed. The Parametrized Post-Newtonian (PPN) coordinates; Eddington-Clark (EC) coordinates; a coordinate system based on barycentric dynamical time (TBC coordinates); and Local Inertial coordinates are discussed.

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