Dynamics of Celestial Bodies, 193- 196 Contributed paper PERIODIC ORBITS IN THE MAIN LUNAR PROBLEM

Abstract. We investigate the arrangements of periodic orbits in a restricted, circular, 3-dimensional 3-body problem in which the primaries are the Sun and the Earth, and the massless body represents the Moon. By fixing the duration of the periodic orbits to a multiple of the synodic lunar month, we set up a numerical procedure that systematically finds all the periodic orbits of given duration, not only close to the current lunar orbit, i.e. at low eccentricity and low inclination, but also far from it. 1