A novel station-keeping strategy for quasi-periodic orbits in the vicinity of collinear libration points

In circular restricted three-body problem, there exist quasi-periodic orbits in the vicinity of collinear libration points, and they play very important roles in deep space exploration. A station-keeping strategy for quasi-periodic orbits of collinear libration points is derived by making use of the center manifold dynamical structure in this paper. First, the canonical transformation from synodic coordinates to center manifold coordinates is derived. Based on this transformation, the error state can be projected to the nearest center manifold by introducing the delta V maneuver. In this way, unstable component could be canceled. This station-keeping strategy fully integrates the dynamical property of collinear libration points, and is suitable for other kinds of libration point orbits. Finally, numerical simulations are performed for Lissajous orbit and Halo orbit, verifying that this strategy can achieve better station-keeping performance and have less fuel consumption of orbit control.