基于改进鸽群算法的气动捕获轨道优化

针对火星探测器的气动捕获轨道，提出了一种改进的鸽群算法对气动捕获轨道进行优化。首先，考虑成功进行气动捕获所要求的终端约束和过程约束，根据从捕获轨道进行轨道转移进入目标轨道所需的速度增量，提出了进行捕获轨道优化的最优性能指标。然后，针对原始鸽群算法存在的一些不足，提出一种改进算法，并对改进算法的参数取值进行了分析。最后，基于大气内飞行的动力学方程，将气动捕获轨道优化问题转化为多参数优化问题，利用所提出的改进鸽群算法对气动捕获轨道进行优化，并通过仿真实例验证该算法的有效性。

Optimization of aerocapture orbit based on improved pigeon inspired optimization algorithms

An improved pigeon-inspired algorithm is proposed to optimize the aerocapture orbits of Mars explorers. The terminal and process constraints imposed by successful aerocapture are first analyzed, followed by the introduction of an appropriate performance index for the optimization of the capture orbit according to the speed increment required by the orbit transfer from the capture orbit to the target orbit. Then, to overcome the shortcomings of the original pigeon-inspired algorithm, an improved version is proposed by introducing an exponential function. The functions of the parameters in the improved algorithm are analyzed. Finally, based on the dynamic equations of flight in the atmosphere, the aerocapture orbital optimization problem is transformed into a multi-parameter optimization problem which is solved by the proposed improved pigeon inspired algorithm. The effectiveness of this algorithm is verified by a simulation example.