Orbital rates of earth satellites at resonances to test the accuracy of earth gravity field models

Physics

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Celestial Geodesy, Earth Gravitation, Earth Orbits, Geopotential, Gravitational Fields, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Satellite Orbits, Circular Orbits, Lumped Parameter Systems, Orbital Elements, Resonance

Scientific paper

Differences among the Earth gravity field models, which were (in Klokočník and Pospíšilová, 1981) expressed as dispersions of the relevant lumped geopotential coefficients, are transformed to the differences in variations of orbital quantities. Theoretical formulae, the resonances due to the geopotential, are derived in a simple and unified form. They are then applied to estimate the orbital uncertainty as a function of Earth models differences. The first set of the Earth models (set I) consists of 11 models from the decade 1970 - 1980, of greatly varying quality; the set II contains several recent models; the author presents a test (for the 13th- to 15th-order) based on standard deviations of the lumped values of GEM 10B, which were estimated by means of independent resonant data (in Klokočník, 1982).

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