航空学报 > 2024, Vol. 45 Issue (21): 230135-230135   doi: 10.7527/S1000-6893.2024.30135

固体力学与飞行器总体设计

基于可达域的解体碎片云中期演化建模方法

金紫涵, 温昶煊(), 乔栋   

  1. 北京理工大学 宇航学院,北京 100081
  • 收稿日期:2024-01-10 修回日期:2024-03-06 接受日期:2024-04-24 出版日期:2024-05-07 发布日期:2024-04-30
  • 通讯作者: 温昶煊 E-mail:wenchangxuan@bit.edu.cn
  • 基金资助:
    国家自然科学基金(12172043)

Modeling medium-term debris cloud of breakups based on reachable domain

Zihan JIN, Changxuan WEN(), Dong QIAO   

  1. School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China
  • Received:2024-01-10 Revised:2024-03-06 Accepted:2024-04-24 Online:2024-05-07 Published:2024-04-30
  • Contact: Changxuan WEN E-mail:wenchangxuan@bit.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12172043)

摘要:

在轨卫星解体是空间碎片的主要来源之一。精确模拟卫星解体碎片云的动态演化可避免解体碎片与其余在轨卫星发生碰撞。针对解体碎片云复杂的中期演化阶段,提出了一种基于摄动轨道可达域理论的碎片云建模方法。该方法用可达域包络描述碎片云的空间分布,计算出可达域的体积用于表征均匀分布的碎片密度。然后,为提升表征精度,对卫星解体碎片按解体速度增量大小进行分层,并针对不同解体速度增量的碎片群进行分组模拟,实现对非均匀分布碎片密度的精确计算。仿真结果表明,与数值计算方法的结果相比,本文所提方法给出的中期碎片云在空间分布和密度量级方面均满足一致性,验证了本文方法的有效性。

关键词: 卫星解体, 碎片云, 碎片密度, 轨道可达域, 空间安全

Abstract:

The breakup of satellites in orbit is one of the main sources of space debris. Accurate simulation of the dynamic evolution of the debris cloud can avoid the collision between the debris and other satellites in orbit. In this paper, a method for modeling the debris cloud based on the perturbation orbit reachable domain theory is proposed for the complex medium-term evolution of the debris cloud. In this method, the spatial distribution of the debris cloud is described by the reachable domain envelope, and the density of uniformly distributed debris is characterized by calculating the volume of the reachable domain. Then, to improve the characterization accuracy, the debris cloud is stratified according to the size of the velocity increment, and the sub clouds with different velocity increment were simulated to achieve the accurate calculation of the non-uniformly distributed debris density. The simulation results show that the spatial distribution and density magnitude of the medium-term debris cloud given by the proposed method are consistent with the corresponding results of the numerical method.

Key words: satellite breakup, debris cloud, debris density, orbit reachable domain, space security

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