航空学报 > 2007, Vol. 28 Issue (6): 1281-1286

星际小推力转移轨道快速设计方法

尚海滨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 国防科工委月球探测工程中心
  • 收稿日期:2006-09-11 修回日期:2007-09-25 出版日期:2007-12-15 发布日期:2007-12-15
  • 通讯作者:

    尚海滨1

A Rapid Design Method for Interplanetary Low-thrust Transfer Trajectory

Shang Haibin1,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  Defence
  • Received:2006-09-11 Revised:2007-09-25 Online:2007-12-15 Published:2007-12-15
  • Contact: Shang Haibin1

摘要:

针对星际探测任务中燃料最省小推力转移轨道问题,提出一种基于标称轨道的快速设计方法。首先以具有相同端点时刻的无摄动标称轨道为参考,对传统的非线性轨道优化模型进行合理变换,将复杂的优化问题简化为可解的两点边值问题;然后基于标称轨道3个独立积分推导出解析的状态转移矩阵,并以此为基础导出了两点边值问题的最优解析解。该方法无需数值迭代,有效地克服了数值优化方法收敛性差、计算效率低的缺点。最后,以探测火星的小推力转移轨道为例对该方法进行了验证,与精确的数值结果相比,该方法计算的燃料消耗误差小于1%。

关键词: 小推力, 最优解析解, 标称轨道, 燃料最省, 两点边值

Abstract:

A novel rapid method to design optimalfuel interplanetary trajectory for low-thrust propulsion is presented based on normal trajectory approach. A simple twopoint boundary value problem is formulated -usinga non-perturbation normal trajectory, which has the same endpoint time with low-thrust trajectory. The analytic state transition matrix is derived using three independent integrations of normal trajectory, and then the optimal solution of twopoint boundary problem is obtained.

Key words: low-thrust,  , optimal , analytic , solution,  , normal , trajectory,  , optimalfuel,  , twopoint , boundary

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