基于星历匹配法的载人小行星探测轨迹优化问题求解

PROBLEM SOLVING OF THE MANNED ASTEROIDS EXPLORATION TRAJECTORY OPTIMIZATION BASED ON EPHEMERIS MATCHING METHOD

对基于星历匹配法的载人小行星探测轨迹优化问题解法进行了研究.提出星历匹配法的概念,利用其求出最优发射窗口初值与候选最优探测序列,然后利用遗传算法对特定探测序列的时间节点等参数进行优化,最后利用基于庞德里亚金极大值原理的同伦法进行小推力转化以求得最终探测轨道及其推力控制律.结果显示星历匹配法可以快速准确地求出最优发射窗口初值与候选探测序列,这大大提高了载人小行星探测等多目标交会探测问题的求解效率.

The method for solving the problem of manned asteroids exploration trajectory optimization based on ephemeris matching method was studied in this paper. The concept of ephemeris matching method was proposed, and then the initial launch window and the candidate optimal probe sequences were given. Time nodes and other parameters were optimized for the specific probe sequences by using genetic algorithm. The final orbit and thrust control laws were optimized by using homotopic method based on the Pontryagin＇s maximum principle. The results showed that the ephemeris matching method can quickly and accurately find out the optimal initial launch window and the candidate probe sequences, which can greatly improve the efficiency of solving the manned asteroid exploration and other multi-objective rendezvous problems.