Stationkeeping of Lissajous Trajectories about the Earth-Moon Collinear Libration Points

Abstract

Lissajous trajectories about the collinear libration points are valuable on the space environment and deep space exploration, but have complex kinetic characteristics in the nature, thus their station keeping have always been focuses in the deep space navigation and control field. This paper explores orbit maintenance technology of the Lissajous trajectories about the collinear Earth-Moon libration points under the real dynamical environment. First, based on the restricted three body problem, the mathematic model of Lissajous orbit design and control with the real dynamical model was analyzed. Then the Lissajous trajectories about Earth-Moon collinear libration point was designed under the nature environment, and the third-body gravitation and the solar pressure perturbations and their level were studied, and their influence on the Lissajous orbit stability was analyzed. Finally, based on the perturbation influence and stability analysis and orbit tracking and control frequency, this paper framed a station keeping strategy for the Lissajous orbit about the Earth-Moon collinear libration points. This paper can provide a reference for the future Lissajous orbit mission.