最优两脉冲行星际轨道转移优化算法

 研究了最优两脉冲轨道转移问题。以行星际飞行为背景，结合状态转移矩阵和古典变分理论，推导了两脉冲行星际轨道转移的性能指标对可调参数的解析偏导数,并利用这些解析偏导数提出了一种快速的两脉冲轨道转移优化算法。解决了传统两脉冲行星际转移轨道优化算法中存在的计算速度慢,无法控制计算精度的问题。最后，以地球-火星轨道转移为例，将提出的优化算法计算的结果与传统的“能量等高线法”的计算结果进行对比，验证了此算法的正确性和快速性。

Interplanetary Optimum Two-impulse Transfer Trajectories

The optimum two-impulse transfer trajectory is investigated. Taking the interplanetary mission as the background, the state transition matrix and variational method are utilized, and the analytical partial derivatives of the index with respect to the adjustable variables is inferred. Based on these analytical partial derivatives, a fast optimization algorithm for two-impulse transfer trajectory is given out. The problems of slow speed and the uncontrollable precision flaws in the traditional optimization of interplanetary two-impulse transfer trajectory are solved. At the end, taking the Earth-Mars orbit transfer as an example, the result calculated by the optimization method brought up in this paper is compared with the result computed by the traditional "pork-chop" figure, and the accuracy and speediness of this algorithm are validated.