Analysis of the applicability of collision probability algorithms for nonlinear relative motion

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	Analysis of the applicability of collision probability algorithms for nonlinear relative motion
	Xu XiaoLi 1,2; Xiong YongQing 1,2
刊名	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
	2013-05-01
卷号	56 期号:5 页码:1041-1046
关键词	space debris collision probability nonlinear relative motion integral limits
ISSN号	1674-7348
通讯作者	Xu, XL (reprint author), Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China. Email: xlxu@pmo.ac.cn
英文摘要	In the calculation of the collision probability between space objects, the assumption of linear relative motion is generally adopted to simplify the problem because most encounters are at high relative velocity. Nevertheless, the assumption is no longer valid for encounters at extremely low velocities, and a new algorithm is urgently needed for computing collision probability for space objects having nonlinear relative motion. In this particular case, the direction associated with relative velocity is reintroduced for integration. The different integral limits would lead to the variations of probability and integral time. Moreover, the application scope of this new algorithm is also presented. Since the nonlinear effect is only significant in some certain situations, the new algorithm needs to be considered only in such certain situations. More specifically, when space objects in circular orbits encounter with a tiny inclined angle (the extreme situation), the new algorithm can derive much more accurate collision probability than the linear method, that is to say, the linearity assumption involved in general collision probability formulation is not adequate anymore. In addition, the deviation of the probability derived by the linear method (linear collision probability) from that derived by the nonlinear method (nonlinear collision probability) also weakly depends on the relative distance and combined covariance, and essentially depends on their ratio.
学科主题	Physics
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Physics, Multidisciplinary
研究领域[WOS]	Physics
关键词[WOS]	OBJECTS
收录类别	SCI
语种	英语
WOS记录号	WOS:000318516200027
公开日期	2014-01-08
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/9818]
专题	紫金山天文台_空间目标与碎片观测研究基地
作者单位	1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China 2.Chinese Acad Sci, Purple Mt Observ, Key Lab Space Object & Debris Observ, Nanjing 210008, Peoples R China
推荐引用方式 GB/T 7714	Xu XiaoLi,Xiong YongQing. Analysis of the applicability of collision probability algorithms for nonlinear relative motion[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2013,56(5):1041-1046.
APA	Xu XiaoLi,&Xiong YongQing.(2013).Analysis of the applicability of collision probability algorithms for nonlinear relative motion.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,56(5),1041-1046.
MLA	Xu XiaoLi,et al."Analysis of the applicability of collision probability algorithms for nonlinear relative motion".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 56.5(2013):1041-1046.