On Finite Periodic Orbits Around the Equilateral Solutions of the Planar Restricted Three-Body Problem

Abstract

The motion of the infinitesimal mass in the restricted three body problem is considered in the vicinity of the triangular solutions, when the more massive primary is regarded as an oblate spheroid with its equatorial plane coincident with the plane of the motion. The effort here is to provide approximations to periodic solutions of finite size following the geometrical dynamic approach of Rand and Podogorski(1972).