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L agrange点附近的编队研究对深空探测有着非常重要的意义。该文研究了利用双脉冲变轨实现三体问题中H a lo轨道附近编队的队形重构问题。证明了在短时间重构时,三体问题中存在着与Hohm ann变轨类似的结论:始末脉冲法是双变轨法中能量最优的重构方法。给出了实现重构所需能量的近似解析表达式和精确计算的数值方法。短时间重构的情况下,数值方法与解析方法得到的结果几乎相同。结果表明:在使用始末法实现重构时,重构所需要能量随重构时间的增加而减少,随重构半径的增加而增加。
Formation research near L agrange has very important significance for deep space exploration. In this paper, the formation reconfiguration problem of formation near H a lo orbit in three-body problem using dual-pulse orbit transformation is studied. It is proved that there exists a similar conclusion to the Hohm ann orbit transition in the three-body problem when reconstructing for a short period of time: the initial-impulse method is the most energy-efficient reconstruction method in the double-derailment method. The approximate analytic expression of the energy required for reconstruction and the exact numerical method are given. In the case of short-time reconstruction, the numerical method and analytical method are almost the same. The results show that the energy required for reconstruction decreases with the increase of reconstruction time, and increases with the increase of reconstruction radius.