小推力火星探测器发射时机搜索方法

Searching Algorithm for Low-Thrust Launch Opportunity for Mars Explorer

利用微分进化(DE)算法对小推力火星探测器发射时机进行搜索。首先建立了动力学方程,推导出最优化模型,然后使用两种策略采用DE算法与间接法相结合的方式对火星探测器发射机会进行了搜索,最后进行了仿真分析。研究结果表明:使用DE算法结合间接法的方式能够搜索到最优的发射机会;同时,针对所采用的发动机模型,小推力火星探测器发射机会是一个区域,存在多种满足条件的发射机会,探测器的燃料消耗与飞行时间是此消彼长的关系,在实际应用中需要综合考虑飞行时间和燃料消耗对发射机会进行选择。

The problem of search for low-thrust launch opportunity for mars explorer using differential evolution(DE) algorithm is presented.The dynamic model is presented,and then optimal control theory is applied to produce a boundary value problem.The launch opportunities are searched based on the combination of differential evolution algorithm and indirect method using two strategies.Simulation result shows that the optimal launch opportunity can be found based on the combination of DE algorithm and indirect method.The launch opportunities are piece of time areas.In practice,the fly time and fuel consumption need to be considered when choosing the proper launch opportunity.