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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。
Firstly, a Poincare cross-section representation method based on angle-distance coordinates is proposed, so that the cross-section coordinates have one-to-one correspondence with the phase space state points. Based on this method, the torsional characteristics unique to the phase flow in the invariant manifold near the collinear point are studied. In order to overcome the problem of manifold pipe rupture, the transfer characteristic of long-term evolution of phase flow was calculated and analyzed by designing a shooting method. Making full use of the characteristics of these phase flows, it can be used to guide the design of the deep space orbiter to obtain the detector flight path with less energy consumption.