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针对未来建设地月系L2点空间站的需求,提出利用三体Lambert算法研究地月系L2点附近轨道的交会问题,包括设计同一Halo轨道上不同相位两航天器之间的交会转移轨道以及设计不同振幅Halo轨道之间的交会转移轨道。针对现有三体Lambert算法求解长时间轨道转移问题收敛性差的缺陷,提出利用遗传算法求解初始参考轨道,进而通过同伦牛顿-拉夫逊迭代求解目标转移轨道的方法。计算结果表明,该方法能够有效解决长时间交会轨道转移问题,可以为地月空间平动点区域空间站建设提供参考。
In view of the need of the L2 moon space station in the future, a three-body Lambert algorithm is proposed to study the rendezvous of the orbit near the L2 point in the lunar system, including the design of the orbit transition between two spacecraft with different phases on the same Halo orbit and the different design Amplitude Halo Intersection orbit between tracks. Aiming at the defect that the existing three-body Lambert algorithm solves the convergence problem of long-time orbit transition, a method of solving the initial orbit by using genetic algorithm and then solving the target transfer orbit by homotopy Newton-Raphson iteration is proposed. The calculation results show that this method can effectively solve the problem of long-term rendezvous orbit transfer and can provide reference for the construction of regional space station in the geostationary-moon space.