Problem of the translational-rotational motion of three rigid bodies

Details Problem of the translational-rotational motion of three rigid bodies Problem of the translational-rotational motion of three rigid bodies

Jan 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987kosis..25...18r&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 25, Jan.-Feb. 1987, p. 18-22. In Russian.

Physics

Dynamic Stability, Orbital Mechanics, Rigid Structures, Rotating Bodies, Three Body Problem, Translational Motion, Double Cusps, Equations Of Motion, Fourier Series, Gravitational Fields, Rotating Spheres

Scientific paper

An analysis is made of the restricted problem of the translational-rotational motion of a dynamically symmetric rigid body in the gravitational field of two spheres. The motion of the bodies is described by canonical osculating elements, and a multiple Fourier series expansion is obtained for the approximate value of the force function. An averaging method is used to construct a family of particular solutions, for which necessary stability conditions are found in the first approximation.

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