The regular translational-rotational motion of two random solid bodies and their stability

Details The regular translational-rotational motion of two random solid bodies and their stability The regular translational-rotational motion of two random solid bodies and their stability

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66..604a&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, May-June 1989, p. 604-611. In Russian.

Astronomy and Astrophysics

Astronomy

5

Astrodynamics, Motion Stability, Two Body Problem, Differential Equations, Equations Of Motion, Hamiltonian Functions, Liapunov Functions, Perturbation Theory

Scientific paper

Particular solutions are obtained for the translational-rotational motion of two rigid bodies having an arbitrary dynamic structure. The existence of 36 particular solutions, corresponding to 'arrow', 'spoke', and 'float' stationary motions, is revealed. The necessary and sufficient conditions of the stability of these motions are studied using the Liapunov function, which is taken as the Hamiltonian of the perturbed motion.

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