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介绍行星引力辅助近似模型,包括近行星点无动力和有动力两种方式;采用开普勒轨道拼接法与双脉冲Lambert算法,建立多次引力辅助转移轨道的参数优化模型;通过广度优先搜索算法对引力辅助行星序列进行穷举,对发射窗口和天体间转移时间进行离散化网格搜索,每一步网格搜索后均采用合理的定界剪枝方法,减少后续计算量。这种全局搜索方法不需要提前指定引力辅助行星序列,并可得到对应不同飞行时间以及不同引力辅助次数的搜索结果,获得若干多天体引力辅助转移轨道初步结果,为进一步局部优化设计奠定基础。文章给出几组全局搜索算例,得到从地球到火星、木星和土星的多次引力辅助转移轨道,验证了全局搜索方法的有效性。
This paper introduces a model of planetary gravitation-assisted approximation, which includes two methods: no-power and motive force in near-epicycloidal point. The parameter optimization model of multiple gravitational-assisted orbitals is established by using Kepler orbit mapping and double-pulse Lambert algorithm. The gravitationally assisted planetary sequences are exhaustive, and the grids are discretized by the launch window and the transit time of the celestial bodies. After each step of grid search, rational delimitation and pruning methods are adopted to reduce the subsequent calculation. The global search method does not need to specify the gravitational auxiliary planet sequence in advance, and can obtain the search results corresponding to different flight times and different gravitational auxiliary times, obtaining preliminary results of several multi-celestial gravitational assisted transfer orbitals, and laying a foundation for further local optimization design. In this paper, several global search examples are given, and multiple gravitational-assisted transfer orbits from Earth to Mars, Jupiter and Saturn are obtained, which verifies the effectiveness of the global search method.