中文摘要：

这份报纸与他们在地球附近的在一条圆形的轨道上的集体留下来的中心考虑拴住的三身体的形成系统的非线性的动力学，并且使用空间的理论歧管处理系统的平衡配置的非线性的动态行为的动力学。与古典通报相比限制了三个身体系统，十六种平衡配置从伪潜力精力表面，其四在以前的研究被省略的几何学全球性被获得。夸张 equilibria 附近的周期的 Lyapunov 轨道和他们的不变的 manifolds 被介绍，并且为识别 Lyapunov 轨道的一个重复过程基于微分修正算法被建议。在不变的 manifolds 之间的非横过的交叉被探讨产生在 Lyapunov 轨道之间的 homoclinic 和 heteroclinic 轨道。(3,3 ) 并且(2,1 ) 从到另一一个的一在同一直线上的平衡的邻居的 -heteroclinic 轨道，并且(3,6 )- 并且(2,1 )-homoclinic 轨道从并且到一样的平衡的邻居，基于 Poincar 慨敳瘠汥' 椰?湡 ? 牧畯 ? 敶潬楣祴椠据敲獡 ? 楷桴被获得？

英文摘要：

This paper considers nonlinear dynamics of teth- ered three-body formation system with their centre of mass staying on a circular orbit around the Earth, and applies the theory of space manifold dynamics to deal with the nonlinear dynamical behaviors of the equilibrium configurations of the system. Compared with the classical circular restricted three body system, sixteen equilibrium configurations are obtained globally from the geometry of pseudo-potential energy sur- face, four of which were omitted in the previous research. The periodic Lyapunov orbits and their invariant manifolds near the hyperbolic equilibria are presented, and an iteration procedure for identifying Lyapunov orbit is proposed based on the differential correction algorithm. The non-transversal intersections between invariant manifolds are addressed to generate homoclinic and heteroclinic trajectories between the Lyapunov orbits. （3,3）- and （2,1）-heteroclinic trajecto- ries from the neighborhood of one collinear equilibrium to that of another one, and （3,6）- and （2,1）-homoclinic trajecto- ries from and to the neighborhood of the same equilibrium, are obtained based on the Poincar6 mapping technique.