Relative motion in space environments is indispensable for the study of spacecraft formations, rendezvous and docking. Spacecraft formations offer multitude of advantages over a use of a single spacecraft for the purposes of achieving same mission objectives. Rendezvous and docking is the key for frequent travel to and from a space station in a particular orbit. Much of these studies have been well established, practical missions are and have been carried out in simple scenarios, prominent being Earth orbits in a central body problem.

Studies in more complex cases, like orbits influenced by planet-satellite pairs and orbits in the vicinity of asteroids have not been extensively looked at in the context of relative motion. With growing interest in space exploration to these celestial bodies, advantages of use of formations in such cases and rendezvous, docking operations in case of permanent stations in orbits has motivated the study of relative motion in complex space environments.