Stability and Bifurcation of Resonance Periodic Motions of a Symmetric Satellite

Abstract

We consider families of periodic motions emanating from the hyperboloidal precession of a satellite in the case of the third or fourth order resonance, as well as in the nonresonance case. We construct bifurcation diagrams for periodic motions in the case of small deviations of the energy integral constant from its value on the hyperboloidal precession. We study the orbital stability in the linear approximation.