Low-Energy Transfers in the Earth Moon System

The aim of this work is to compute low-energy trajectories in the Earth Moon system within the framework of the Circular Restricted Three-Body Problem. It is known that this model admits five equilibrium points, in a proper reference system. We look for connection paths between the neighbourhood of a given collinear libration point and one of the primaries. We focus on the point L-1 and on the point L-2, whose linear behaviour is of type center x center x saddle. We consider Lindstedt-Poincare series expansion as main procedure to compute invariant stable manifolds associated with periodic and quasi-periodic orbits around L-1 and L-2. It turns out that direct lunar transfers are allowed only from certain regions on the Moon's surface and that the most advantageous connections between the Earth and a libration point orbit take place at the local maxima of the function distance between the Earth and a given stable manifold.