地月高能共振循环轨道的快速计算及最优选择

Current methods have the disadvantages of requiring large amount of computation, the possibility of changing cyclers' resonance ratio, and the inability to construct the Earth-Moon cyclers with resonance ratio greater than 2.3.A fast method for calculating the high-energy resonant cyclers in the circular restricted three-body problem is proposed in this paper. Firstly, the high-energy resonance cyclers are classified according to their arcs near the Moon. Secondly, the two-body Keplerian elliptical orbits are constructed according to the types and the resonance ratios of the high-energy resonance cyclers. Thirdly, the Earth-Moon high-energy resonant cyclers are calculated in the circular restricted three-body problem. Finally, according to energy, stability, time period, perigee distance and perilune distance, the optimal high-energy resonant cycler is given. The numerical results are provided to reveal that the proposed method is simple and effective, and the Earth-Moon high-energy resonance cyclers with a resonance ratio of 5: 2 can be calculated.