宇航学报 ›› 2022, Vol. 43 ›› Issue (9): 1163-1175.doi: 10.3873/j.issn.1000-1328.2022.09.004

• 飞行器设计与力学 • 上一篇    下一篇

偶数重连续覆盖的Walker星座设计方法

龚宇鹏,张世杰   

  1. 1. 哈尔滨工业大学航天学院卫星技术研究所,哈尔滨 150080; 2. 鹏城实验室数学与理论部, 深圳 518055
  • 收稿日期:2022-04-12 修回日期:2022-06-10 出版日期:2022-09-15 发布日期:2022-09-15
  • 基金资助:
    国家自然科学基金(52075118)

Design Method for Even fold Continuous coverage Walker Constellation

GONG Yupeng, ZHANG Shijie   

  1. 1. Research Center of Satellite Technology, School of Astronautics, Harbin Institute of Technology, Harbin 150080, China; 2. Department of Mathematics and Theories, Peng Cheng Laboratory, Shenzhen 518055, China
  • Received:2022-04-12 Revised:2022-06-10 Online:2022-09-15 Published:2022-09-15

摘要: 针对期望覆盖重数为偶数重时连续覆盖Walker星座的构型设计问题,提出一种基于覆盖带理论的构型设计方法。首先分析同轨道卫星组成覆盖带时的构型设计特例,随后将结论推广,改进了传统Walker星座的构型表征形式并提出覆盖带构型参数。基于轨道参数的相平面映射,给出了异轨卫星组成覆盖带时特征宽度的计算方法。通过分析相平面上覆盖带的拼接情况,给出了轨道倾角的优化策略和偶数重覆盖任意纬度的Walker星座设计步骤。所提出方法能显著提高构型枚举效率,且能满足不同纬度范围的覆盖需求。仿真表明,该方法能减少约10%覆盖所需的卫星数量,并能通过调整构型参数进一步优化轨道面数量。

关键词: Walker星座, 连续覆盖, 构型设计, 覆盖带, 相平面法

Abstract: Aiming at the configuration design of even fold continuous coverage Walker constellation, a design method based on the street of coverage theory is proposed. Firstly, for a special case that the street of coverage is formed by satellites in one orbit, the configuration design is analyzed. Then, the conclusion is extended to improve the configuration characterization of the traditional Walker constellation, and a constellation configuration parameterization method is proposed based on the streets of coverage. Based on the phase plane mapping of orbit elements, the method of calculating the characteristic width of the streets of coverage formed by satellites in different orbits is given. By analyzing the stitching of the streets of coverage on the phase plane, the optimization strategy of orbit inclination and the design procedure of Walker constellation with even coverage folds at arbitrary latitude are given. The proposed method can significantly improve the efficiency of configuration enumeration and meet the coverage requirements at different latitude ranges. Simulation results show that the proposed method can reduce the number of satellites by about 10%, and can further optimize the number of orbit planes by adjusting the configuration parameters.

Key words: Walker constellation, Continuous coverage, Configuration design, Street of coverage, Phase plane method

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