A novel algorithm for generating libration point orbits about the collinear points
A novel algorithm for generating libration point orbits about the collinear points
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DOI：
10.1007/s10569-014-9560-9
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发表时间：
2014-07
影响因子：
1.6
通讯作者：
Yuan Ren;J. Shan
中科院分区：
文献类型：
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作者：
Yuan Ren;J. Shan
本文提出了一种数值算法，可以在圆形限制三体问题（CR3BP）和全太阳系模型中生成长期平动点轨道（LPO）以及从停车轨道到LPO的转移轨道，而无需初始猜测。 CR3BP中的准周期LPO族也可以用该算法构建。利用LPO的动力学行为，使用二分法生成从停车轨道到LPO的转移轨道。同时获得与转移轨道相连的目标LPO的短段，然后利用差分进化算法将状态向目标LPO的稳定流形上的相邻点修正，从而扩展LPO的短段。通过重复实施校正策略，LPO 可以根据需要扩展到任意长度。此外，结合延拓过程，该算法可用于生成CR3BP中的准周期LPO族。
This paper presents a numerical algorithm that can generate long-term libration points orbits (LPOs) and the transfer orbits from the parking orbits to the LPOs in the circular-restricted three-body problem (CR3BP) and the full solar system model without initial guesses. The families of the quasi-periodic LPOs in the CR3BP can also be constructed with this algorithm. By using the dynamical behavior of LPO, the transfer orbit from the parking orbit to the LPO is generated using a bisection method. At the same time, a short segment of the target LPO connected with the transfer orbit is obtained, then the short segment of LPO is extended by correcting the state towards its adjacent point on the stable manifold of the target LPO with differential evolution algorithm. By implementing the correction strategy repeatedly, the LPOs can be extended to any length as needed. Moreover, combining with the continuation procedure, this algorithm can be used to generate the families of the quasi-periodic LPOs in the CR3BP.