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