Construction of conditionally periodic solutions in the problem of the translational-rotational motion of an axisymmetric satellite of a triaxial planet

Details Construction of conditionally periodic solutions in the problem of the translational-rotational motion of an axisymmetric satellite of a triaxial planet Construction of conditionally periodic solutions in the problem of the translational-rotational motion of an axisymmetric satellite of a triaxial planet

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984kosis..22..531z&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 22, July-Aug. 1984, p. 531-536. In Russian.

Mathematics

Celestial Mechanics, Planetary Rotation, Satellite Orbits, Translational Motion, Canonical Forms, Differential Equations, Equations Of Motion, Transformations (Mathematics)

Scientific paper

Attention is given to Zhuravlev's (1981, 1982) stationary solutions to an averaged system of equations of the first approximation, corresponding to conditionally periodic solutions in the first approximation for the unaveraged system of equations of motion. The generating function of the canonical transformation is derived, and conditionally periodic solutions are obtained for different systems of variables describing the translational-rotational motion of a satellite of a triaxial planet.

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