航空学报 > 2007, Vol. 28 Issue (6): 1307-1311

最优两脉冲行星际轨道转移优化算法

任远1,崔平远1,栾恩杰2   

  1. 1哈尔滨工业大学 深空探测基础研究中心 2国防科学技术工业委员会月球探测工程中心
  • 收稿日期:2006-11-08 修回日期:2007-10-28 出版日期:2007-12-15 发布日期:2007-12-15
  • 通讯作者: 任远1

Interplanetary Optimum Twoimpulse Transfer Trajectories

Ren Yuan1,Cui Pingyuan1,Luan Enjie2   

  1. 1Deep Space Exploration Research Center, Harbin Institute of Technology 2 Lunar Exploration Engineering Center, Commission of Science Technology and Industry for NationalDefense
  • Received:2006-11-08 Revised:2007-10-28 Online:2007-12-15 Published:2007-12-15
  • Contact: Ren Yuan1

摘要:

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。

关键词: 两脉冲转移轨道, 状态转移矩阵, 变分法, 行星际轨道, 探测机会

Abstract:

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.

Key words: two-impulse , transfer , trajectory,  , state , transition , matrix,  , variational , method,  , interplanetary , trajectory,  , launch , opportunity

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