Spatial rotations of a satellite in the circular three-body problem in the case of fractional resonances

Details Spatial rotations of a satellite in the circular three-body problem in the case of fractional resonances Spatial rotations of a satellite in the circular three-body problem in the case of fractional resonances

Nov 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kosis..29..858k&link_type=abstract

Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 29, Nov.-Dec. 1991, p. 858-871. In Russian.

Mathematics

Orbital Resonances (Celestial Mechanics), Satellite Rotation, Three Body Problem, Center Of Mass, Equations Of Motion, Manifolds (Mathematics), Periodic Functions

Scientific paper

Spatial rotations of a satellite around the center of masses in the circular three-body problem in the case of fractional resonances is considered. It is assumed that the trajectory of the center of mass of the rigid body is described by conditionally periodic functions of time and that its central ellipsoid of inertia is quasi-spherical. It is shown that the averaged equations of rotation of an asymmetric satellite admit a family of integral manifolds on which the solution to the problem is reduced to quadratures. The spatial rotations of a satellite on these manifolds is examined.

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