中国空间科学技术

中国空间科学技术 ›› 2026, Vol. 46 ›› Issue (2): 36-47.doi: 10.16708/j.cnki.1000-758X.2026.0022

• 载人月球探测专刊 • 上一篇    下一篇

基于区间数的应急返回轨道可达域求解方法

彭祺擘1，陆林1,*，张海联2   

  1. 1.中国航天员科研训练中心，北京100094
    2.中国载人航天工程办公室，北京100071
  • 收稿日期:2025-10-08 修回日期:2025-10-23 录用日期:2025-11-04 发布日期:2026-03-20 出版日期:2026-03-31

A reachable domain calculation method of contingency return trajectories based on interval number

PENG Qibo1，LU Lin1,*，ZHANG Hailian2   

  1. 1.China Astronaut Research and Training Center，Beijing 100094, China
    2.China Manned Space Agency，Beijing 100071, China
  • Received:2025-10-08 Revision received:2025-10-23 Accepted:2025-11-04 Online:2026-03-20 Published:2026-03-31

PDF (PC)

91

摘要： 针对环月飞行阶段的应急返回轨道，提出了一种基于区间数的可达域求解方法。首先，描述了环月飞行阶段采用单脉冲异面变轨方式的应急返回轨道问题，建立了应急返回轨道可达域的数学模型。其次，在设计单条应急返回轨道的基础上，结合改进的区间分支界定算法，提出了一种应急返回轨道可达域求解方法。然后，与传统的基于遍历搜索的可达域求解方法进行仿真对比，对比结果显示在不同参数配置下，该方法最少可以减少47.4%的求解时间，最多可以减少96.5%的求解时间，验证了所提方法的准确性和高效性。最后，利用该方法进行大量仿真计算，分析了应急返回轨道可达域的参数特性。研究结论可为未来月球探测应急返回轨道方案的选择与制定提供参考。

关键词: 月球探测, 应急返回轨道, 区间数, 可达域, 区间分支界定算法

Abstract: A reachable domain calculation method based on interval number is proposed for the contingency return trajectories during the circumlunar flight phase. Firstly, the problem of a contingency return trajectory which adopts the non-coplanar maneuver during the circumlunar flight phase is described. The mathematics model of the reachable domain of the contingency return trajectories is established. Secondly, based on the design of the contingency return trajectory, a reachable domain calculation method of contingency return trajectories is proposed by introducing an improved interval branch and bound algorithm. Thirdly, the comparison with the traditional reachable domain calculation method based on brute force is performed in the simulations. The comparison result indicates that this method can reduce the calculation time by at least 47.4% and by at most 96.5%, and verifies the accuracy and efficiency of the proposed method. Finally, extensive simulation calculations are performed to analyze the parameter characteristic of reachable domain by using this method. The research conclusions can provide reference for the selection and decision of contingency return scheme in the future lunar exploration.

Key words: lunar exploration, contingency return trajectory, interval number, reachable domain, interval branch and bound algorithm