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清华大学学报(自然科学版)  2019, Vol. 59 Issue (9): 705-711    DOI: 10.16511/j.cnki.qhdxxb.2019.26.026
  航空航天与工程力学 本期目录 | 过刊浏览 | 高级检索 |
近距离航天器间碰撞概率线性模型的解析修正
姜薇, 蒋方华, 李俊峰
清华大学 航天航空学院, 北京 100084
Analytical correction for a linear model of inter-satellite collision probabilities
JIANG Wei, JIANG Fanghua, LI Junfeng
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
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摘要 该文提出一种针对近距离航天器间碰撞概率线性模型的解析修正法。原有碰撞概率线性模型较简单,使用条件严格,适用范围有限,不适用于轨道差别较小的相对运动情况。通过分析碰撞概率线性模型计算结果与Monte Carlo仿真计算结果之间的误差,寻找其与航天器间最大和最小相对运动距离之间的近似解析关系,对原有线性模型进行修正,使其更接近真实碰撞概率。仿真结果表明:该方法拓展了原有线性模型的适用范围,并提高了精度。
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姜薇
蒋方华
李俊峰
关键词 碰撞概率线性模型解析修正    
Abstract:An analytical method was developed to correct linear model results for the inter-satellite collision probability. The traditional linear collision probability model is simple, but has many limitations, and is not applicable to calculations of inter-satellite collision probabilities with small orbital differences. An analytical expression is given to relate the differences between the linear model and Monte Carlo simulation results according to the maximum and minimum relative distances between the satellites. This analytical expression can be used to improve the linear model results to be closer to the true collision probability. Simulations show that the method extends the application range of the linear model and further improves the accuracy.
Key wordscollision probability    linear model    analytic correction
收稿日期: 2019-03-05      出版日期: 2019-08-27
基金资助:国家自然科学基金资助项目(11432001)
通讯作者: 蒋方华,副教授,E-mail:jiangfh@tsinghua.edu.cn     E-mail: jiangfh@tsinghua.edu.cn
引用本文:   
姜薇, 蒋方华, 李俊峰. 近距离航天器间碰撞概率线性模型的解析修正[J]. 清华大学学报(自然科学版), 2019, 59(9): 705-711.
JIANG Wei, JIANG Fanghua, LI Junfeng. Analytical correction for a linear model of inter-satellite collision probabilities. Journal of Tsinghua University(Science and Technology), 2019, 59(9): 705-711.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2019.26.026  或          http://jst.tsinghuajournals.com/CN/Y2019/V59/I9/705
  图1 相遇坐标系和计算坐标系
  图2 MonteCarlo仿真计算流程
  图3 主星和相对运动轨道相对位置
  图4 两星碰撞概率随rmax变化
  表1 仿真算例1轨道参数表
  图5 算例参数取值
  表2 MonteCarlo仿真结果
  表3 仿真算例2轨道参数表
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