Abstract: Systems and methods are described for computing a trajectory of an object in space to a secondary body (M2) in orbit around a primary body to land on, or capture into orbit, or flyby M2 in a Three-Or-More Body Problem. A special plotting of sampled vectors from M2 are integrated backward using a Poincaré Map to form a “Swiss Cheese plot” to find a nominal trajectory. A funnel-like set of trajectories can be constructed along the nominal trajectory for navigation purposes. A global resonant encounter map over a sphere around M2 can be constructed to provide trajectories to, for example, flyby any point near M2, capture into orbit over any point about M2, land on any point on M2. Besides space exploration, there are many applications to the development of Cislunar space commercialization and colonization including asteroid capture and mining.

Abstract: Systems and methods are described for computing a trajectory of an object in space to a secondary body (M2) in orbit around a primary body to land on, or capture into orbit, or flyby M2 in a Three-Or-More Body Problem. A special plotting of sampled vectors from M2 are integrated backward using a Poincaré Map to form a “Swiss Cheese plot” to find a nominal trajectory. A funnel-like set of trajectories can be constructed along the nominal trajectory for navigation purposes. A global resonant encounter map over a sphere around M2 can be constructed to provide trajectories to, for example, flyby any point near M2, capture into orbit over any point about M2, land on any point on M2. Besides space exploration, there are many applications to the development of Cislunar space commercialization and colonization including asteroid capture and mining.