北京航空航天大学学报 ›› 2013, Vol. 39 ›› Issue (5): 679-682,687.

• 论文 • 上一篇    下一篇

包含引力辅助变轨的三体Lambert问题求解算法

罗钦钦, 韩潮   

  1. 北京航空航天大学 宇航学院, 北京 100191
  • 收稿日期:2012-05-10 修回日期:2013-05-07 出版日期:2013-05-31 发布日期:2013-05-22
  • 基金资助:
    国家自然科学基金资助项目(11002008); 国家重点基础研究发展计划资助项目(2009CB723906)

Solution algorithm of the three-body lambert problem with gravity assist maneuver

Luo Qinqin, Han Chao   

  1. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2012-05-10 Revised:2013-05-07 Online:2013-05-31 Published:2013-05-22

摘要: 对包含引力辅助变轨的三体Lambert问题提出了一种数值求解算法,分为转移轨道初始设计和终值搜索两部分.采用伪状态理论,通过简单迭代求解高精度的转移轨道初始设计结果,在此基础之上,通过数值积分在更复杂的摄动环境中,计算精确的转移轨道和一二阶状态转移矩阵,并利用二阶微分修正算法搜索最终解.经过数值算例检验,这种方法具有较高的效率和鲁棒性,可以有效解决三体系统中引力辅助转移轨道的高敏感性问题.

Abstract: A new numerical solution algorithm for the three-body Lambert problem with gravity assist maneuver was developed. The algorithm was divided into two parts, the initial solution design and the searching for the final solution. The pseudostate theory was adopted to get the initial solution of the three-body Lambert problem. Based on that, the transfer trajectory and the state transition matrix were calculated by numerical integration in the real dynamic model. A second order differential-correction method was employed to find the final solution. The numerical examples were used to test the reliability and the efficiency of the algorithm.

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