限制性三体问题共线平动点相流结构研究

首先提出一种基于角度-距离坐标的Poincare截面表示方法,从而使截面坐标与相空间状态点具有一一对应的关系。基于这种方法,研究了共线平动点不变流形附近相流所独有的扭转特性。为了克服流形管道破裂的问题,通过设计一种打靶方法,计算并分析了相流长期演化的转移特性。充分利用这些相流的特性,可用来指导深空探测器的轨道设计,得到能量消耗更少的探测器飞行轨道。

Research on the Phase Space Structure in the Vicinity of Collinear Libration Points

In circular restricted three-body problem, the collinear libration points play a very important role in deep space exploration. This paper first proposes a new kind of coordinates to represent the Poincare section. Based on this method, the twisting property of the flow near the collinear libration point invariant manifold is discussed, then, in order to deal with the problem of the rupture of invariant manifold structure, a shooting method is devised; using this method, the long term transition property of the phase space is analyzed. These properties can be utilized to obtain spacecraft trajectories that have less fuel consumption in the mission design process.