A Study of Capture trajectories to the vicinity of L1 and L2 points
?? Masaki Nakamiya (Sokendai University), Daniel Scheeres (University of Michigan),
Hiroshi Yamakawa (Kyoto University) and Makoto Yoshikawa (JAXA)
Abstract
We investigate 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 also reduced relative to direct capture into a parabolic orbit. The way of linking
between interplanetary transfer trajectories and the stable manifold is also discussed.