Periodic solutions to Hamiltonian systems and their application to satellite dynamics. I

Details Periodic solutions to Hamiltonian systems and their application to satellite dynamics. I Periodic solutions to Hamiltonian systems and their application to satellite dynamics. I

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986kosis..24..345b&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 24, May-June 1986, p. 345-357. In Russian.

Physics

Hamiltonian Functions, Orbital Mechanics, Periodic Functions, Satellite Rotation, Boundary Value Problems, Celestial Mechanics, Differential Equations, Libration, Poincare Problem

Scientific paper

An analysis is made of periodic solutions to a canonic system of differential equations with a Hamiltonian of a special kind containing arbitrary parameters. Conditions are determined for the existence of parametric periodic solutions, both in the principal case and in several degenerate cases commonly encountered in celestial mechanics. The application of the theory developed here to the study of the periodic rotational motions of a saitelliite at a triangular libration point is examined.

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