Resonance rotations of a satellite about its center of mass in a quasi-periodic orbit in the restricted N-body problem.

Details Resonance rotations of a satellite about its center of mass in a quasi-periodic orbit in the restricted N-body problem. Resonance rotations of a satellite about its center of mass in a quasi-periodic orbit in the restricted N-body problem.

Apr 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995kosis..33..191k&link_type=abstract

Kosmicheskie Issledovaniia, Tom 33, No. 2, p. 191 - 200

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Satellites: Rotation, N-Body Problem: Restricted, N-Body Problem: Periodic Orbits

Scientific paper

The problem of spatial resonance rotations of a satellite in the restricted N-body problem is considered. It is assumed that the orbit of one of the gravitating bodies is circular, with angular velocity ω1; and the trajectories of the mass centers of the satellite and the other (N-1) attracting bodies are described by quasi-periodic functions of time. It is also assumed that the central ellipsoid of inertia of the satellite is close to a sphere in shape. The resonances Ω = ω1, Ω = ω1/2, and Ω = 2ω1, where Ω is the angular velocity of the unperturbed rotation of the satellite, are investigated. It is shown that the averaged equations of rotation of a dynamically symmetric satellite are integrable in quadrature. In the case of an asymmetric ellipsoid of inertia, the integrability of these equations exists on some integral varieties studied in detail for the case Ω = ω1. The problem of resonance rotations of a retransmission satellite in the family of large halo-orbits of the Earth-Moon-Sun system is considered, the evolution of rotations during continuous variation of the parameter Az of this family is studied, and influence of the Sun is investigated.

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