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主要研究了椭圆轨道燃料消耗最优的多脉冲编队队形重构问题.首先,基于Lawden方程的解析解,推导了多脉冲机动的数学模型.然后构造燃料最优目标函数,将总脉冲写成关于各脉冲作用时间和前n-2次脉冲大小的函数.然后利用遗传算法对问题进行求解,将结果转换到时间域,确定最终各脉冲的大小、方向和作用时间.最后进行了数学仿真,验证了算法的正确性.
This paper mainly studies the multi-pulse formation formation reconfiguration problem with the best elliptic orbit fuel consumption.Firstly, based on the analytic solution of Lawden's equation, the mathematical model of multi-pulse maneuver is derived.And then, the optimal objective function of fuel is constructed, and the total pulse is written as The pulse action time and the first n-2 pulse size function.Then the use of genetic algorithms to solve the problem, the results are converted to the time domain, to determine the final pulse size, direction and duration of action.Finally, a mathematical simulation to verify The correctness of the algorithm.