Periodic orbits in the generalized perturbed restricted three-body problem

Abstract

This paper studies the existence of periodic orbits around the triangular points of the restricted three-body problem (R3BP) in the range of linear stability. The problem is generalized in the sense that the bigger and smaller primaries are considered as triaxial and oblate spheroidal bodies, respectively and is perturbed due to the introduction of small perturbations in the Coriolis and the centrifugal forces. It is observed that long and short periodic orbits exist around these points and that their period, orientation and eccentricities are affected by the above parameters.