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基于日、地、月构成的双圆问题(BCP,Bicircular Problem)研究了经过月球旁近的低能地月转移轨道,总结了这些轨道在相空间的分布特点.首先基于BCP模型,利用BCP系统的不变流形,搜索出经过月球旁近的低能地月转移轨道.然后把时间作为非自治系统相空间的增广维度,给出了能够反映出转移轨道在增广相空间分布情况的状态空间图,研究表明转移轨道以族的形式分布于相空间中,并且任意时刻都可以作为此类轨道的出发时刻.最后分析了不同转移轨道族各自速度增量、飞行时间以及系统能量的变化规律,分别得到了速度增量最优轨道族和飞行时间最优轨道族.
Based on the BCP (Bicircular Problem) of the BCP, the near-lunar low-energy Earth-Moon transfer orbit is studied and the distribution characteristics of these orbits in the phase space are summarized.First, based on the BCP model, Invariant manifold, and search for the low-energy ground-moon transfer orbit near the lunar. Then, time is taken as an augmented dimension of the non-autonomous system phase space, and a state space that can reflect the distribution of the transfer orbit in the augmented phase space is given The study shows that the transfer orbits are distributed in the phase space in the form of family and can be used as the starting point of such orbit at any time.Finally, the changing regularities of the speed increment, the flight time and the system energy of different transfer orbits are analyzed, The optimal orbit groups of velocity and the optimal orbit group of time of flight are respectively obtained.