Periodic solutions of Hamiltonian systems and their application to satellite dynamics. I.
Abstract
An analysis is made of periodic solutions to a canonic system of differential equations with a Hamiltonian of a special kind containing arbitrary parameters. Conditions are determined for the existence of parametric periodic solutions, both in the principal case and in several degenerate cases commonly encountered in celestial mechanics. The application of the theory developed here to the study of the periodic rotational motions of a saitelliite at a triangular libration point is examined.
 Publication:

Kosmicheskie Issledovaniia
 Pub Date:
 May 1986
 Bibcode:
 1986KosIs..24..345B
 Keywords:

 Hamiltonian Functions;
 Orbital Mechanics;
 Periodic Functions;
 Satellite Rotation;
 Boundary Value Problems;
 Celestial Mechanics;
 Differential Equations;
 Libration;
 Poincare Problem;
 Astrodynamics;
 Celestial Mechanics:Periodic Orbits;
 Periodic Orbits:Celestial Mechanics;
 Periodic Orbits:Satellites;
 Satellites:Periodic Orbits