Physics
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988kosis..26..943f&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 26, Nov.-Dec. 1988, p. 943, 944. In Russian.
Physics
1
Circular Orbits, Orbital Mechanics, Orbital Resonances (Celestial Mechanics), Asymptotic Methods, Hamiltonian Functions, Kepler Laws
Scientific paper
The problem of the motion of an asymmetric rigid body whose center of mass moves in a Keplerian circular orbit in a Newtonian force field is studied. It was shown previously that this problem admits positions of relative equilibrium corresponding to the coincidence of the principal central axes of inertia of the body with axes of the orbital coordinate system. The present paper examines the existence of the motions of a rigid body tending to these positions of equilibrium with t tending to +,- infinity, in the case when the natural frequencies of the linearized system omega1, omega2, omega3 are related as omega3 = 2omega1 or omega3 = 2omega2.
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