Knowledge Management System of Purple Mountain Observatory，CAS
Analysis of the applicability of collision probability algorithms for nonlinear relative motion | |
Xu XiaoLi1,2; Xiong YongQing1,2 | |
2013-05-01 | |
Source Publication | SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY |
ISSN | 1674-7348 |
Volume | 56Issue:5Pages:1041-1046 |
Corresponding Author | Xu, XL (reprint author), Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China. Email: xlxu@pmo.ac.cn |
Abstract | 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 Nevertheless, the assumption is no longer valid for encounters at extremely low velocities, and a new algorithm is urgently needed for computing collision probability for space objects having nonlinear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. |
Keyword | Space Debris Collision Probability Nonlinear Relative Motion Integral Limits |
Subject Area | Physics |
WOS Headings | Science & Technology ; Physical Sciences |
DOI | 10.1007/s11433-013-5041-5 |
WOS Keyword | OBJECTS |
Indexed By | SCI |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Multidisciplinary |
WOS ID | WOS:000318516200027 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://libir.pmo.ac.cn/handle/332002/9818 |
Collection | 空间目标与碎片观测研究基地 |
Affiliation | 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 |
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. |
Files in This Item: | ||||||
File Name/Size | DocType | Version | Access | License | ||
2013136Analysis of t（570KB） | 开放获取 | CC BY-NC-SA | View Application Full Text |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment