Citation: | SHEN Dan, YANG Xu, WU Xiangbin, LIU Jing. Confidence Level of Collision Probability for Space Debris with Chebyshev Inequality[J]. Chinese Journal of Space Science, 2017, 37(4): 448-454. doi: 10.11728/cjss2017.04.448 |
[1] |
SGOBBA T, ALLAHDADI F, RONGIER I, et al. Safety Design for Space Operations[M]. Amsterdam:Elsevier Ltd, 2013
|
[2] |
ALFANO S. Review of conjunction probability me-thods for short-term encounters[C]//Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Sedona, San Diego:Univerlt Inc., 2007
|
[3] |
ALFANO S. Relating position uncertainty to maximum conjunction probability[J]. J. Astron. Sci., 2005, 53(2):193-205
|
[4] |
ALFRIEND K T, AKELLA M R, FRISBEE J, et al. Probability of collision error analysis[J]. Space Debris, 1999, 1(1):21-35
|
[5] |
BAI Xianzong. Research on Collision Probability in Space Objects Collision Detection[D]. Changsha:National University of Defense Technology, 2008(白显宗. 空间目标碰撞预警中的碰撞概率问题研究[D]. 长沙:国防科学技术大学, 2008)
|
[6] |
WANG Xiuhong, LI Junfeng, YI Weiwei. Confidence le-vel calculation method for space objects collision warning result[C]//Proceedings of Seventh National Conference on Space Debris. Kunming:State Administration of Science, Technology and Industry for National Defence, PRC, 2013:398-407(王秀红, 李俊峰, 易韦韦. 空间目标碰撞预警结果置信度计算方法[C]//第七届全国空间碎片学术交流会论文集. 昆明:国家国防科技工业局系统工程一司, 2013:398-407)
|
[7] |
SHEN Hengfan. The Course of Probability and Mathematical Statistics[M]. 5th ed. Beijing:Higher Education Press, 2011(沈恒范. 概率论与数理统计教程[M]. 5版. 北京:高等教育出版社, 2011)
|
[8] |
WALL J V, JENKINS C R. Practical Statistics for Astronomers[M]. Cambridge:Cambridge University Press, 2003
|
[9] |
YANG Xu. Analysis and Research for Space Debris Collision Probability and its Sensitivity[D]. Beijing:Chinese Academy of Sciences, 2010(杨旭. 空间碎片碰撞概率及其敏感度分析研究[D]. 北京:中国科学院大学, 2010)
|
[10] |
FOSTER J L, ESTES H S. A Parametric Analysis of Orbital Debris Collision Probability and Maneuver Rate for Space Vehicles[R]. NASA/JSC-25898. Houston:NASA Johnson Space Center, 1992
|
[11] |
CHAN K. Improved analytical expressions for computing spacecraft collision probabilities[J]. Adv. Astron. Sci., 2003, 114:1197-1216
|
[12] |
PATERA R P. General method for calculating sate-llite collision probability[J]. J. Guid. Control Dyn., 2001, 24(4):716-722
|
[13] |
ALFANO S. A numerical implementation of spherical object collision probability[J]. J. Astron. Sci., 2005, 53(1):103-109
|
[14] |
NGO H Q. Tail and Concentration Inequalities[OL]. (2011-02-19)[2016-04-18]. http://www.cse.buffalo.edu/~hungngo/classes/2011/Spring-694/lectures/l4.pdf
|
[15] |
DUBHASHI D P, PANCONESI A. Concentration of Measure for the Analysis of Randomized Algorithms[M]. Cambridge:Cambridge University Press, 2009
|