Geopotential harmonics of order 29, 30 and 31 from analysis of resonant orbits

Physics

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Earth Orbits, Geopotential, Satellite Orbits, Tesseral Harmonics, Coefficients, Eccentric Orbits, Gravitational Fields, Standard Deviation

Scientific paper

Results are given for earth gravitational potential 30th-order harmonics derived from analyses of 15th-order resonance, as well as 29th- and 31st-order harmonics from 29:2 and 31:2 resonance, respectively. While there are enough values available for the case of 30th-order lumped harmonics of even degree to allow a solution for individual coefficients of degree up to 40, with degree-30 coefficients being determined to standard deviations equivalent to 1.0 cm in geoid height, there are not enough values for the cases of either 29th- and 31st-order harmonics or 30th-order harmonics of odd degree. Despite this, lumped values from particular satellites can be used for resonance testing of gravity field models such as the Goddard Earth Model 10B, up to degree 36, and 10C, for degree even higher than 36. The results of these models' application are assessed, and found to be mixed.

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