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 × center × saddle. We consider Lindstedt–Poincaré 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.
KeywordsEarth–Moon system Libration points Low-energy transfers
This work has been supported by the Spanish grants MTM2006-05849 (E.M.A., G.G.) and MTM2006-00478 (J.J.M.) and by the Astronet Marie Curie fellowship (E.M.A.).