Periodic motions of a satellite in the gravitational field of a rotating rigid body
Abstract
The present study demonstrates the existence of a family of periodic solutions in the problem of the motion of a point mass in the gravitational field of a uniformly rotating planet having a triaxial ellipsoid of inertia that is close to a sphere. The point mass (i.e., a satellite) is assumed to be passively gravitating, and the planet is assumed to rotate with constant angular velocity relative to the shortest axis of its ellipsoid of inertia.
 Publication:

Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
 Pub Date:
 April 1983
 Bibcode:
 1983MVSMM.......74B
 Keywords:

 Celestial Mechanics;
 Gravitational Fields;
 Natural Satellites;
 Periodic Functions;
 Planetary Rotation;
 Differential Equations;
 Ellipsoids;
 Astrodynamics