宇航学报

宇航学报 ›› 2021, Vol. 42 ›› Issue (12): 1550-1558.doi: 10.3873/j.issn.1000-1328.2021.12.008

• 制导、导航、控制与电子 • 上一篇    下一篇

不规则小行星附着可达区生成方法

黄美伊，梁子璇，崔平远   

  1. 1.北京理工大学深空探测技术研究所，北京 100081；2. 深空自主导航与控制工信部重点实验室，北京 100081
  • 收稿日期:2021-02-26 修回日期:2021-05-19 出版日期:2021-12-15 发布日期:2021-12-15
  • 基金资助:
    国家重点研发计划项目（2019YFA0706500）；国家自然科学基金（62073034，61873302）；空间碎片专项(KJSP2020020302);中国科协青年人才托举工程（2019QNRC001）

Reachable Zone Generation for Irregularly Shaped Asteroid Landing

HUANG Mei yi, LIANG Zi xuan, CUI Ping yuan   

  1. 1. Institute of Deep Space Exploration, Beijing Institute of Technology, Beijing 100081, China;2. Key Laboratory of Autonomous Navigation and Control for Deep Space Exploration, Ministry of  Industry and Information Technology, Beijing 100081, China

  • Received:2021-02-26 Revised:2021-05-19 Online:2021-12-15 Published:2021-12-15

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摘要： 针对不规则小行星表面附着任务需求，提出了一种基于动态邻域搜索的可达区生成方法。首先，建立了可达区数学模型，并采用质心距映射函数对非定点附着的终端位置约束进行了处理。在此基础上，将可达区的优化问题转化为附着基准点计算、边界起始点计算和边界点搜索三个子问题。针对附着基准点与边界起始点，分别通过最小燃耗轨迹优化与极限燃耗轨迹优化求解；针对边界点，设计了导向式动态邻域搜索方法，将复杂的非定点着陆优化问题简化为定点着陆燃耗优化与边界插值。最后，以小行星433 Eros为对象，对所提出的可达区生成方法进行了仿真。结果表明，该方法能够生成不规则小行星表面的可达区，具有较高的搜索求解效率，并适用于不同的初始位置和燃耗条件。

关键词: 小行星附着, 可达区, 轨迹优化, 邻域搜索

Abstract: A reachable zone generation method based on the dynamic neighborhood search is developed for landing on irregularly shaped asteroids. Firstly, the reachable zone is formulated, and a centroid distance mapping function is designed to constrain the terminal position of a trajectory with an unfixed landing point. On this basis, the reachable zone generation problem is decomposed into three sub problems: the reference point calculating, the starting point calculating, and the boundary points searching. The reference and the starting points are solved by a trajectory optimization for minimum fuel and maximum distance, respectively. The boundary points are calculated using a guided dynamic neighborhood search method, and in each search cycle, the minimum fuel is optimized with a fixed landing point. Finally, the proposed method is verified using the 433 Eros model. The results indicate that the method is effective in generating a reachable zone on an irregular surface, efficient in searching the boundary points, and applicable to various initial positions and fuel consumptions.

Key words: Asteroid landing, Reachable zone, Trajectory optimization, Neighborhood search

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