DOC《附件2》

8)利用前面的结果,全面系统地研究了时连接长短周期轨道族的桥梁的演化状态,给出了它们的构造法则,并研究了连接桥梁和短周期轨道族的桥梁的演化状态;

研究了长短周期轨道族的演化状态,并着重讨论了附近桥梁的破裂情况,进一步完善了Henrard关于附近桥梁的破裂理论;

9)根据演化情形的不同,将对称型马蹄形周期轨道族分为两类,并首次系统地研究了它们与围绕共线平动点L3的Lyapunov平面周期轨道族的联系;

10)研究了从三角平动点生发出的三维周期轨道的稳定曲线随的演化状态,同时研究了长短周期轨道族的垂直稳定曲线随的演化状态,并首次研究了连接长短周期轨道族中的垂直分叉轨道与三维周期轨道族的分叉轨道的桥梁的演化状态. 11)利用新找出的特殊临界值解释了三角平动点附近关于稳定性的一些已有的结论;

12)从理论上探讨了定点在三角平动点的探测器的发射和控制等一系列应用问题. 在完成这些书面工作的同时,作者亦编制了大量的实用计算程序,这些程序可为我国开展深空探测在轨道领域提供一个研究性的 平台 . 关键词: 圆型限制性三体问题,共线平动点,三角平动点,周期轨道,拟周期轨道,不变流形,节能过渡,轨道控制 Dynamics and Their Applications of Libration Points Hou Xiyun ABSTRACT The Circular Restricted Three-Body Problem (CRTBP) is one of the most used models in deep space explorations. It describes the motion of a small body (for example, the spacecraft) under the gravitations of two large primaries which revolve each other in a circular orbit. Researches on the dynamics of this model are of vital importance for successful space missions. Due to the non-integrability of this system, the only five libration points of this system play key roles in its dynamical research. This thesis is dedicated to these five libration points. The restricted three-body problems involved are mainly the sun-earth+moon system (here earth+moon means the barycenter of the earth and the moon) and the earth-moon system, which are of close relationship with the earth. Of course, other restricted three-body problems in the solar system are also studied. The motivation of this thesis lies in two projects leaded by the author'

s tutor, in which the author was involved. They are International Cooperation on the WSO/UV and Applications of the Libration Points in Deep Space Explorations . Based on the works of the author in these two projects and omitting details of them, the author tried to collect the previous research results of the libration points till now in a systematical way, completed part of their dynamical theory, discussed various forms of applications of these points and finally fulfilled the thesis. On the era of booming deep space explorations in our country, the work in the thesis is of vital im........