On the periodic motions of an axisymmetric rigid body in the attraction field of a sphere

Details On the periodic motions of an axisymmetric rigid body in the attraction field of a sphere On the periodic motions of an axisymmetric rigid body in the attraction field of a sphere

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977azh....54..698b&link_type=abstract

Astronomicheskii Zhurnal, vol. 54, May-June 1977, p. 698-706. In Russian.

Astronomy and Astrophysics

Astronomy

2

Orbital Mechanics, Rotating Bodies, Translational Motion, Two Body Problem, Canonical Forms, Double Cusps, Gravitational Fields, Periodic Functions, Poincare Problem

Scientific paper

Using the Poincare's small-parameter method, the existence of periodic solutions in the problem of the translation-rotational motion of a rigid body possessing a dynamic symmetry axis, in the attraction field of a sphere is considered. The motion of the bodies is described by the equations in canonic osculating Delaunay-Andoyer's elements. The analytical conditions for the existence of space periodic motions are obtained and investigated.

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