Quasi-periodic orbit design about the Earth-Moon libration point

Quasi-periodic orbits about the translunar libration point have been used widely and their design method has been focused on. Designing this orbit with multiple shooting method and high-accuracy ephemeris model is the latest method which can overcome some traditional defects in the restricted three-body problem, such as the disregard for the Sun's perturbation. Due to complex calculations for patch points and lots of coordinate transformations involved in this method, two improvements are proposed in this paper to ameliorate the condition. Firstly, the traditional ephemeris model is reformed and established in the Earth-Moon rotating frame, which can avoid large amounts of coordinate transformations during the multiple shooting. Secondly, based on the characteristics of quasi-periodic orbits about the translunar libration point, instead of massive calculations, simple coordinate transformations can provide necessary information for patch points of multiple shooting. Simulation results show that the proposed method can be used effectively to design quasi-periodic orbits about the translunar libration point.