Periodic motions of an axisymmetric rigid body in the gravitational field of a sphere

Details Periodic motions of an axisymmetric rigid body in the gravitational field of a sphere Periodic motions of an axisymmetric rigid body in the gravitational field of a sphere

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977sva....21..394b&link_type=abstract

(Astronomicheskii Zhurnal, vol. 54, May-June 1977, p. 698-706.) Soviet Astronomy, vol. 21, May-June 1977, p. 394-399. Translati

Astronomy and Astrophysics

Astronomy

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

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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