Low-energy bi-impulsive Earth-Moon transfers are investigated by using periodic orbits. Two Earth-Moon transfer design strategies in the CR3BP are proposed, termed direct and indirect design strategy. In the direct design strategy, periodic orbits which approach both vicinities of the Earth and Moon are selected as candidate periodic orbits, which can provide an initial guess of bi-impulsive Earth-Moon transfers. In the indirect design strategy, new bi-impulsive Earth-Moon transfers can be designed by patching together a bi-impulsive Earth-Moon transfer and a candidate periodic orbit which can approach the vicinity of the Moon. Optimizations in the CR3BP are undertaken based on the Gradient Descent method. Finally, bi-impulsive Earth-Moon transfer design and optimizations in the Sun-Earth-Moon bi-circular model (BCM) are carried out, using bi-impulsive Earth-Moon transfers in the CR3BP as initial guesses. Results show that the bi-impulsive Earth-Moon transfer in the CR3BP can serve as a good approximation for the BCM. Moreover, numerical results indicate that the optimal transfers in the BCM have the potential to be of lower cost in terms of velocity impulse than optimal transfers in the CR3BP.

通过使用周期性轨道研究了低能双脉冲地月转移。提出了CR3BP中的两种地月转移设计策略，分别称为直接和间接设计策略。在直接设计策略中，选择接近地球和月球附近的周期性轨道作为候选周期性轨道，从而可以初步估计出双脉冲地月转移。在间接设计策略中，可以通过将双脉冲地球月亮传输和可能接近月球附近的候选周期性轨道拼凑在一起，来设计新的双脉冲地球月亮传输。CR3BP的优化是基于梯度下降法进行的。最后，在日地月亮双圆模型（BCM）中进行了双脉冲地-月传递设计和优化，使用CR3BP中的双脉冲“地-月”转换作为初始猜测。结果表明，CR3BP中的双脉冲地月转移可以很好地近似BCM。此外，数值结果表明，就速度脉冲而言，BCM中的最佳传递比CR3BP中的最佳传递具有更低的成本。