The applicability of A. N. Kolmogoroff's theorem to the problem of two gravitating rigid bodies, one of which is a sphere

Details The applicability of A. N. Kolmogoroff's theorem to the problem of two gravitating rigid bodies, one of which is a sphere The applicability of A. N. Kolmogoroff's theorem to the problem of two gravitating rigid bodies, one of which is a sphere

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mvsmm.......92p&link_type=abstract

Moskovskii Universitet, Vestnik, Seriia 1 - Matematika, Mekhanika, Sept.-Oct. 1981, p. 92-96. In Russian.

Other

Gravitational Effects, Kolmogoroff Theory, Rigid Structures, Spheres, Two Body Problem, Conservation Laws, Cycles, Distance, Symmetrical Bodies

Scientific paper

Kolmogoroff's theorem concerning the conservation of conditionally periodic motions is applied to the problem of two gravitating rigid bodies, one of which is a homogeneous sphere, while the other is almost a dynamically symmetric body, the distance between the mass centers being sufficiently large compared to the size of the latter body. The existence of quasi-periodic motions is demonstrated.

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