力学与实践 ›› 2015, Vol. 37 ›› Issue (1): 49-55.DOI: 10.6052/1000-0879-14-392

• 应用研究 • 上一篇    下一篇

有限推力多小行星探测轨迹优化

黄岸毅, 车征, 黄普, 李军锋, 路毅, 李恒年   

  1. 宇航动力学国家重点实验室, 西安 710043
  • 收稿日期:2014-11-28 出版日期:2015-02-15 发布日期:2015-02-14
  • 通讯作者: 车征,E-mail:charge_0@163.com

LOW-THRUST TRAJECTORY OPTIMIZATION FOR MULTI-ASTEROID EXPLORATION

HUANG Anyi, CHE Zheng, HUANG Pu, LI Junfeng, LU Yi, LI Hengnian   

  1. State Key Laboratory of Astronautic Dynamics, Xi'an 710043, China
  • Received:2014-11-28 Online:2015-02-15 Published:2015-02-14

摘要:

针对任务时长与燃料存在限制的多颗小行星之间顺序探测轨迹优化问题,利用极小值原理,建立了整个探测区间的最优控制问题并使用同伦算法进行求解. 其中将目标飞越、交会等约束作为内点约束,特别地对交会后停留一定时间的约束进行了转换处理,使其成为与交会约束类似的形式;并给出了考虑起始时间可滑动的情形的最优条件. 结果表明,该算法可快速得到整体最优的探测轨迹,可应用于小行星多目标探测的任务设计与轨迹规划中.

关键词:

内点约束|同伦优化算法|极小值原理|小行星序列优化|有限推力

Abstract:

The low-thrust trajectory optimization for the multi-asteroid exploration with time and fuel limits is studied in this paper. The optimal control problem is established based on the minimum principle and is solved by the homotopic approach. The target flyby, the rendezvous and the stay time after the rendezvous are all treated as the inner constraints. Then the global optimal control problem is solved by the homotopic approach. It is shown that the global optimal trajectory can be obtained quickly. The algorithm proposed in this paper can be employed in the mission design and the trajectory optimization for multi-asteroid explorations.

Key words:

inner constraints|homotopic approach|minimum principle|optimal of asteroids serial|low-thrust

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