Secular disturbances arising from the asphericity of the central body within third-order terms of dynamic compression

Details Secular disturbances arising from the asphericity of the central body within third-order terms of dynamic compression Secular disturbances arising from the asphericity of the central body within third-order terms of dynamic compression

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974velen......145t&link_type=abstract

Leningradskii Universitet, Vestnik, Matematika, Mekhanika, Astronomiia, Oct. 1974, p. 145-150. In Russian.

Astronomy and Astrophysics

Astronomy

Orbit Calculation, Planetary Gravitation, Satellite Perturbation, Secular Variations, Zonal Harmonics, Astrodynamics, Gravitational Effects, Oblate Spheroids, Two Body Problem

Scientific paper

Analytical expressions for the secular disturbances of satellite motion, due to oblateness of the central body are derived, using a solution of the symmetric version of the generalized problem of two fixed centers as the undisturbed intermediate orbit. It is shown that purely secular disturbances, defined within higher-order terms, are caused only by the even zonal harmonics of the planet's potential, and appear only in the angular elements.

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