Preliminary Analysis of Space Transportation Systems with Spaceports Around Libration Points

Abstract

§Spacecraft capture trajectories to the periodic orbits of the L1 and L2 points in the planar restricted Hill three-body problem are studied. The specific focus is on transfer to these vicinities from interplanetary trajectories. This application is motivated by future plan to use the Sun-Earth and Sun-Mars collinear libration points as space hub for Mars Mission. We utilize stable manifolds for capture trajectories to periodic orbits around the libration points. As a result, the cost of capture into a periodic orbit is reduced relative to direct capture into a parabolic orbit. However, the time of flight for capture trajectories is increased. Therefore, the way of reducing of the time of flight for capture trajectories is discussed based on using stable manifolds