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Analysis of the applicability of collision probability algorithms for nonlinear relative motion
Xu XiaoLi1,2; Xiong YongQing1,2
2013-05-01
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
ISSN1674-7348
Volume56Issue:5Pages:1041-1046
Corresponding AuthorXu, XL (reprint author), Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China. Email: xlxu@pmo.ac.cn
AbstractIn 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 Nevertheless, the assumption is no longer valid for encounters at extremely low velocities, and a new algorithm is urgently needed for computing collision probability for space objects having nonlinear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.
KeywordSpace Debris Collision Probability Nonlinear Relative Motion Integral Limits
Subject AreaPhysics
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1007/s11433-013-5041-5
WOS KeywordOBJECTS
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000318516200027
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/9818
Collection空间目标与碎片观测研究基地
Affiliation1.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
Recommended Citation
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.
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