On quasi-periodic motions around the triangular libration points of the real Earth–Moon system
On quasi-periodic motions around the triangular libration points of the real Earth–Moon system
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DOI：
10.1007/s10569-010-9305-3
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发表时间：
2010-09
影响因子：
1.6
通讯作者：
X. Hou;Lin Liu
中科院分区：
文献类型：
--
作者：
X. Hou;Lin Liu
真实地月系统的两个三角形平动点不再是平衡点。在月球运动是准周期的假设下，存在一个特殊的准周期轨道作为每个点的动力学替代。之前讨论了计算动态替代的方法，并获得了平面近似。在本文中，我们重新审视了这个问题。动态替代的三维近似以不同的方式获得。描述了其周围的线性化中心流。
The two triangular libration points of the real Earth–Moon system are not equilibrium points anymore. Under the assumption that the motion of the Moon is quasi-periodic, one special quasi-periodic orbit exists as dynamical substitute for each point. The way to compute the dynamical substitute was discussed before, and a planar approximation was obtained. In this paper, the problem is revisited. The three-dimensional approximation of the dynamical substitute is obtained in a different way. The linearized central flow around it is described.