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本文针对星历模型下星际三体系统动平衡点halo轨道间的转移机会搜索问题,提出了一种基于三体系统不变流形结构的二级搜索方法.该方法首先基于星历模型求解行星际halo轨道逃逸流形初始时刻与捕获流形末端时刻固定时,连接该不变流形的最优两脉冲转移问题,得到所给条件下星际halo轨道间的最优转移轨道.然后以逃逸流形初始时刻、捕获流形末端时刻为变量,以连接该不变流形的最优两脉冲转移所需的速度增量为目标函数,绘制等高线图研究解空间的全局特性,从而得到转移机会.最后分别以日一地与日一火系统及日一地与日一金系统为例,搜索其在2015-2017年的转移机会,研究结果验证了本文所提方法的有效性,同时也揭示出了行星际halo轨道间转移机会的类周期性.
In this paper, we propose a two-level search method based on the invariant manifold structure of three-body system, which is based on the ephemeris model and the ephemeris model The optimal two orbit transfer problem of connecting the invariant manifold is obtained when the initial moment of the interplanetary halo orbit and the end moment of the capture manifold are fixed, At the initial time of the shape, the end moment of the manifold is captured as a variable, and the objective function is taken as the objective function to connect the optimal two-pulse transfer speed of the invariant manifold. The contour map is drawn to study the global properties of the solution space, Chance.Finally, taking Japan-Japan-Japan-Japan Fire System and Japan-Japan-Japan-Japan Mutual Financial System as examples to search for their transfer opportunities in 2015-2017, the results verify the effectiveness of the proposed method and meanwhile, Reveals the class periodicity of the chances of interplanetary halo orbit transfer.