Physics
Scientific paper
Nov 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990kosis..28..808k&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 28, Nov.-Dec. 1990, p. 808-819. In Russian.
Physics
Center Of Mass, Circular Orbits, Orbital Resonances (Celestial Mechanics), Satellite Rotation, Three Body Problem, Equations Of Motion, Orbit Perturbation, Satellite Orbits
Scientific paper
The spatial rotations of a satelite about the mass center in the circular three-body problem in the principal-resonance cases are evaluated under the following assumptions: (1) the central ellipsoid of inertia of the satellite is quasi-spherical, and (2) the orbital motion of the satellite is described by quasi-periodic functions of time. The averaged equations of the rotation of an axisymmetric satellite are shown to be quadrature-integrable. A classification of possible loops on the spatial orbits is proposed, and it is shown that the plane orbits of the satellite correspond to a certain degeneration whose loop is deformed into a closed curve of zero degree.
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