Periodic orbits for the elliptic case of the Sun-Earth-Moon problem in new coordinates

Abstract

We present a set of periodic and quasi-periodic orbits for the bidimensional case of the Sun-Earth-Moon problem using the coordinates recently introduced by Piña and Jiménez-Lara. Eliminating the restriction we used in a previous work that Earth-Moon system describes a circular orbit around the Sun, we recover the periodic orbits we have found, and we find periodic orbits for the elliptic case. We also find quasi-periodic orbits closer to the real case.