Motions of a satellite that are asymptotic with respect to its regular precessions

Details Motions of a satellite that are asymptotic with respect to its regular precessions Motions of a satellite that are asymptotic with respect to its regular precessions

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kosis..29..822b&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 29, Nov.-Dec. 1991, p. 822-827. In Russian.

Physics

Asymptotic Methods, Circular Orbits, Hamiltonian Functions, Satellite Orbits, Spacecraft Motion, Center Of Mass, Degrees Of Freedom, Moments Of Inertia, Precession

Scientific paper

The problem of solutions asymptotic with respect to the equilibrium position of an autonomous Hamiltonian system with two degrees of freedom in the case of second-order resonance is investigated using the methods of Markeev and Shcherbina (1987, 1990). Necessary and sufficient conditions of existence and an approximate analytical representation of the asymptotic solutions are found. The results obtained are applied to the problem of the motions of a dynamically symmetric satellite that are asymptotic with respect to its regular precessions in a circular orbit.

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