空间目标位置误差未知的碰撞概率算法

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (33): 219-221.

空间目标位置误差未知的碰撞概率算法

吴波，赵拥军，胡德秀

解放军信息工程大学信息工程学院，郑州 450002

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-11-21 发布日期:2011-11-21

Method for calculating collision probability between space objects with unknown position uncertainty

WU Bo，ZHAO Yongjun，HU Dexiu

Institute of Information Engineering，PLA Information Engineering University，Zhengzhou 450002，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-11-21 Published:2011-11-21

摘要/Abstract

摘要： 针对航天器和空间碎片位置误差未知的情况，提出一种空间目标碰撞概率的计算方法。该方法基于正交投影变换将碰撞概率中的三维问题转化到二维进行求解，并利用变量置换的方法计算空间目标碰撞概率。讨论了位置误差椭球形状和大小变化对碰撞概率的影响。根据实际碰撞事例验证了其有效性。

关键词: 碰撞概率, 空间碎片, 正交投影, 变量置换

Abstract: Method is given to calculate collision probability with the unknown position uncertainty of spacecraft and space debris.Orthogonal projection changes the problem from 3-D to 2-D and with variable substitution the probability is obtained.The influence of position uncertainty to the collision probability is discussed.A collision example is given to validate that the method is effective.

Key words: collision probability, space debris, orthogonal projection, variable substitution

吴波，赵拥军，胡德秀. 空间目标位置误差未知的碰撞概率算法[J]. 计算机工程与应用, 2011, 47(33): 219-221.

WU Bo，ZHAO Yongjun，HU Dexiu. Method for calculating collision probability between space objects with unknown position uncertainty[J]. Computer Engineering and Applications, 2011, 47(33): 219-221.