航空学报 > 2022, Vol. 43 Issue (S1): 726907-726907   doi: 10.7527/S1000-6893.2022.26907

面向空间引力波探测的多边形编队设计方法

刘培栋, 焦博涵, 党朝辉   

  1. 1. 西北工业大学 航天学院,西安 710072
  • 收稿日期:2022-01-07 修回日期:2022-02-17 发布日期:2022-02-28
  • 通讯作者: 党朝辉,E-mail:dangzhaohui@nwpu.edu.cn E-mail:dangzhaohui@nwpu.edu.cn
  • 基金资助:
    国家自然科学基金(12172288);国家重点研发计划,引力波探测专项(2021YFC2202600,2021YFC2202603)

Design method of polygon formation for space-based gravitational-wave detection

LIU Peidong, JIAO Bohan, DANG Zhaohui   

  1. 1. School of Aerospace, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2022-01-07 Revised:2022-02-17 Published:2022-02-28
  • Supported by:
    National Natural Science Foundation of China (12172288);National Key Basic Research Program of China, Gravitational Wave Detection Project (2021YFC2202600,2021YFC2202603)

摘要: 航天器编队构形设计是航天器编队飞行与控制首先要解决的问题。本文总结了空间引力波探测任务的正三角形编队设计方案,对3种典型的三角形编队构形生成机理进行了归类和比较分析。随后根据引力波探测原理,将三角形编队方案拓展到任意多边形编队方案,并给出了实现引力波探测器激光链路中转的多边形编队光路设计方法。在此基础上,给出了基于Clohessy-Wiltshire方程与周期匹配原理相结合的多边形编队设计方法,包括多边形框架编队与多边形网格编队两种全新编队类型。研究结果将为包括空间引力波探测在内的多种航天任务的编队构形设计提供理论基础。仿真结果表明,航天器编队构形设计方法设计出的编队臂长足够稳定,具有潜在的工程应用前景。

关键词: 空间引力波探测, 航天器编队, 相对动力学, 正三角形编队, 多边形编队, 框架式编队, 网格式编队

Abstract: Configuration design of spacecraft formations is the first problem to be faced in the study of spacecraft formation design. Based on a review of three typical triangular formation design scheme of space-based gravitational-wave detection mission, this paper extends the triangular formation design scheme to polygon formation design scheme, and gives a polygonal formation optical path design method for laser link path transit of gravitational-wave detectors. On this basis, a polygonal formation design method based on the combination of the Clohessy-Wiltshire equation and the cycle matching principle is given in this paper, including two new formation types: polygonal frame formation and polygonal grid formation. The results of the study can provide a theoretical basis for the design of formation configurations for a variety of space missions, including gravitational wave detection in the space. Simulations and analysis show that the change rate of formation arm length in this paper is stable enough, which shows that the proposed formation configuration design method is effective and has a good potential for engineering application.

Key words: space-based gravitational-wave detection, spacecraft formation, relative dynamics, triangular formations, polygonal formation, framework-type formation, grid-type formation

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