Construction of conditionally periodic solutions of problem of reciprocating motion of axially symmetric satellite of triaxial planet
Abstract
Attention is given to Zhuravlev's (1981, 1982) stationary solutions to an averaged system of equations of the first approximation, corresponding to conditionally periodic solutions in the first approximation for the unaveraged system of equations of motion. The generating function of the canonical transformation is derived, and conditionally periodic solutions are obtained for different systems of variables describing the translationalrotational motion of a satellite of a triaxial planet.
 Publication:

USSR Report Space
 Pub Date:
 March 1985
 Bibcode:
 1985RpSpR...4...25Z
 Keywords:

 Celestial Mechanics;
 Planetary Rotation;
 Satellite Orbits;
 Translational Motion;
 Canonical Forms;
 Differential Equations;
 Equations Of Motion;
 Transformations (Mathematics);
 Astrophysics