Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983azh....60..153g&link_type=abstract
(Astronomicheskii Zhurnal, vol. 60, Jan.-Feb. 1983, p. 153-162) Soviet Astronomy (ISSN 0038-5301), vol. 27, Jan.-Feb. 1983, p. 8
Astronomy and Astrophysics
Astronomy
Astrodynamics, Bodies Of Revolution, Equations Of Motion, Existence Theorems, Three Body Problem, Celestial Mechanics, Center Of Mass, Mass Distribution, Rigid Structures, Surface Geometry, Symmetrical Bodies, Translational Motion
Scientific paper
Existence conditions for regular motions of three rigid bodies having arbitrary figures of revolution and arbitrary density profiles are obtained for a force function expressed rigorously in terms of multiple integrals. It is shown that these conditions will reduce to identities if the bodies possess geometrical and dynamical symmetry about the plane through their centers of mass. It is determined that the uniform rotation of bodies with a specified structure and orientation will have no effect on their translational motion.
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