Linking low- to high-energy dynamics of invariant manifolds, transit orbits, and singular collision orbits in the planar circular restricted three-body problem
Linking low- to high-energy dynamics of invariant manifolds, transit orbits, and singular collision orbits in the planar circular restricted three-body problem
复制标题
将平面圆形受限三体问题中不变流形、过境轨道和奇异碰撞轨道的低能和高能动力学联系起来
DOI：
10.1007/s10569-019-9934-0
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发表时间：
2019
影响因子：
1.6
通讯作者：
Kenta Oshima
中科院分区：
文献类型：
--
作者：
Kenshiro Oguri;Kenta Oshima;Stefano Campagnola;Kota Kakihara;Naoya Ozaki;Nicola Baresi;Yasuhiro Kawakatsu;and Ryu Funase;Kenta Oshima and Tomohiro Yanao;Kenta Oshima
本文的第一部分揭示了围绕三个共线拉格朗日点的平面李雅普诺夫轨道发出的不变流形在高能量下的相互作用。一旦能量禁区消失，不变流形就会在相空间中形成封闭的分离体，包围着过境轨道，偏离不变流形管的低能图像。虽然在高能量条件下不变流形的性质不同，但相关的凌日轨道具有由低能凌日轨道推广而来的共同特征。第二部分扩展了我们之前的建议，即使用与次级相关的奇异碰撞轨道来寻找到达低能次级附近的轨迹。统计分析表明，奇异碰撞轨道对于寻找这种转移轨迹是有用的，除了非常低能量的状态。这些结果在地球-月球和太阳-木星平面圆形限制三体问题中得到了数值计算。
The first part of the present paper reveals interplays among invariant manifolds emanating from planar Lyapunov orbits around the three collinear Lagrange points, andfor high energies. Once the energetically forbidden region vanishes, the invariant manifolds together form closed separatrices bounding transit orbits in the phase space, deviating from the low-energy picture of invariant manifold tubes. Though the qualitatively different behavior of invariant manifolds emerges for high energies, associated transit orbits possess a common feature generalized from that of low-energy transit orbits. The second part extends our previous proposal of using singular collision orbits associated with the secondary to find trajectories reaching the vicinity of the secondary to low energies. Statistical analyses indicate that singular collision orbits are useful to find such transfer trajectories except for the very low-energy regime. These results are numerically obtained in the Earth–Moon and Sun–Jupiter planar circular restricted three-body problems.