Spatial rotations of a satellite in the circular threebody problem in the case of a main resonance.
Abstract
Spatial rotations of a satellite about the mass centre in the circular threebody problem in the case of a main resonance are considered. Following assumptions are made: (a) the ellipsoid of inertia of the satellite is close to a sphere, (b) the orbital motion of the satellite is described by quasiperiodic functions of time. A topological classification of possible loops in spatial orbits is proposed. Plane orbits of the satellite are shown to correspond to a certain degeneration.
 Publication:

Kosmicheskie Issledovaniia
 Pub Date:
 November 1990
 Bibcode:
 1990KosIs..28..808K
 Keywords:

 Center Of Mass;
 Circular Orbits;
 Orbital Resonances (Celestial Mechanics);
 Satellite Rotation;
 Three Body Problem;
 Equations Of Motion;
 Orbit Perturbation;
 Satellite Orbits;
 Astrophysics;
 ThreeBody Problem: Resonances;
 Satellites: Orbital Evolution