Interplanetary transfer optimization using cost function with variable coefficients
Interplanetary transfer optimization using cost function with variable coefficients
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DOI：
10.1007/s42064-018-0043-8
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发表时间：
2019-04
期刊：
影响因子：
6.1
通讯作者：
Xiangyu Li;D. Qiao;Hongbo Chen
中科院分区：
文献类型：
--
作者：
Xiangyu Li;D. Qiao;Hongbo Chen
本文在日心坐标系下研究了包括行星逃逸阶段和俘获阶段在内的最优星际转移问题。基于初始向量理论，提出了一种修正的变系数代价函数，以更准确地反映引力效应。推导了新代价函数在固定时间内搜索最优解的必要条件和横截性条件。通过引入初始海岸和最终海岸，将最优星际转移推广到无时间的情形。最后，将该方法应用于地球-火星和地球-小行星的转换。与已有方法的比较表明，该方法具有较好的传输性能和较高的效率。该方法扩展了初始向量理论的应用范围，为航天器行星探测的前期任务设计提供了快速、准确的参考。
In this paper, the optimal interplanetary transfer including planetary escape and capture phases is investigated in the heliocentric frame. Based on primer vector theory, a modified cost function with variable coefficients is developed to reflect the gravitational effect more precisely. The necessary conditions as well as the transversality conditions of the new cost function are derived to search the optimal solution in fixed-time. By introducing the initial and final coasts, the optimal interplanetary transfer is extended to the time-free situation. Finally, the proposed method is applied to the Earth—Mars and Earth—Asteroid transfer. Comparisons with existing methods show that the proposed method can provide better transfer performances with high efficiency. The proposed method extends the application of primer vector theory and provides a fast and accurate reference for preliminary mission design in spacecraft planetary exploration.