Transfer Trajectory Design for Lunar Relay Satellite Based on Lyapunov Optimal Feedback Control

Electric thruster will play a more and more important role with the development of electric thrusters and lowthrustbased orbital transfer. The transfer trajectory optimal design is focused on for Lunar Relay Satellite, which works on the Halo orbit around translunar Libration point L2. Local optimal control for each of the orbit elements is calculated based on Lyapunov feedback control algorithm, and genetic algorithm is chosen to calculate the scalar weights for five orbit elements of transfer trajectory. The result shows the optimal control strategy of transfer trajectory for Lunar Relay Satellite has important engineering meaning.