Special cases in the problem of two rigid bodies

Details Special cases in the problem of two rigid bodies Special cases in the problem of two rigid bodies

Jul 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..30..263d&link_type=abstract

Celestial Mechanies (ISSN 0008-8714), vol. 30, July 1983, p. 263-273. In French.

Physics

Celestial Mechanics, Rigid Structures, Two Body Problem, Equations Of Motion, Many Body Problem, Quadratures, Rotating Spheres, Translational Motion

Scientific paper

In the present paper two special cases in the problem of two rigid bodies is examined. In the first case two arbitrary bodies interact with a force, proportional to the first degree of distance. In the second case two spheres interact with a force, proportional to some degree of distance. In the both cases the translatory motion does not depend on the rotatory motion and the differential equations are integrable by quadratures.

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