基于弱稳定边界理论的低能地月转移轨道设计

In response to the challenges of solving weakly stable boundary orbits,dealing with complex models,and high sensitivity to initial values,a method for designing low-energy transfer orbits between the Earth and the Moon is proposed based on weakly stable boundaries. A two-layer optimization algorithm is used to solve manifold connection problem and realize low energy Earth-Moon transfer of spacecraft. Firstly,the method involves calculating the Halo orbit and invariant manifold at the Earth-Moon L₂ point. Then,the discrete manifold connection points are calculated,and the optimized initial values are selected according to the velocity and position of the discrete manifold connection points. Finally,the optimization model of manifold connection is established,and the transfer orbit under the bicircular restricted four-body problem model is obtained. The simulation results show that the proposed orbit design method has low transfer energy and complies with many constraints,which can provide reference for low-energy orbit design of future cislunar exploration.