The motion of a stationary satellite in the neighbourhood of the equilibrium points of a central potential perturbed by the J_{22} term.
Abstract
In this paper the position and the characteristics of the equilibrium points of a planet gravitational potential are studied as functions of the J(22) parameter under the assumption that the potential is truncated to the first tesseral harmonic V = V(0) + J(22) V(22). The variational equations are solved analytically in the neighborhood of these points to determine the possible periodic orbits of a stationary satellite in the equatorial plane. A numerical investigation of the problem is reported with the presentation of some periodic orbits of different families of stable and unstable type.
 Publication:

Nuovo Cimento C Geophysics Space Physics C
 Pub Date:
 December 1982
 DOI:
 10.1007/BF02507315
 Bibcode:
 1982NCimC...5..649B
 Keywords:

 Earth Orbits;
 Gravitational Effects;
 Lagrangian Equilibrium Points;
 Orbit Perturbation;
 Satellite Orbits;
 Stationary Orbits;
 Astrodynamics;
 Moon;
 Planetary Rotation;
 Astrodynamics;
 Artificial Satellites:Motions