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2017 | OriginalPaper | Chapter

5. Calculation of Collision Probability

Authors : Lei Chen, Xian-Zong Bai, Yan-Gang Liang, Ke-Bo Li

Published in: Orbital Data Applications for Space Objects

Publisher: Springer Singapore

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Abstract

Derivations of several explicit expressions of the collision probability under circular and ordinary orbital conditions through analysis of approaching distance are presented, so as to have the collision probability expressed as explicit functions of the approaching distance or approaching geometric relationship, and errors and application scopes of the explicit expressions are also analyzed.

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Literature
1.
Chan FK (2004) Short-term vs. long-term spacecraft encounters. AIAA 2004-5460. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island
2.
Foster JL, Estes HS (1992) A parametric analysis of orbital debris collision probability and maneuver rate for space vehicles. NASA/JSC-25898. NASA Johnson Space Flight Center, Houston
3.
Chan FK (2008) Spacecraft collision probability. The Aerospace Press, El SegundoCrossRef
4.
Chan FK (1997) Collision probability analyses for Earth—orbiting satellites. Adv Astronaut Sci 96:1033–1048
5.
Chan FK (2003) Improved analytical expressions for computing spacecraft collision probabilities. AAS 03-184. AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto
6.
Alfano S (2004) Accommodating rectangular objects in probability calculations. AIAA 2004-5217. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island
7.
Alfano S (2005) A numerical implementation of spherical object collision probability. J Astronaut Sci 53(1):103–109
8.
Alfano S (2006) Satellite collision probability enhancements. J Guidance Control Dyn 29(3):588–592CrossRef
9.
Patera RP (2001) General method for calculating satellite collision probability. J Guidance Control Dyn 24(4):716–722CrossRef
10.
Patera RP (2004) Conventional form of the collision probability integral for arbitrary space vehicle shape. AIAA 2004-5218. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island
11.
Patera RP (2005) Calculating collision probability for arbitrary space—vehicle shapes via numerical quadrature. J Guidance Control Dyn 28(6):1326–1328CrossRef
12.
Patera RP (2002) Quick method to determine long-term orbital collision risk. AIAA 2002-1809. Sat-Max2002—Satellite Performance Workshop, Arlington, VA
13.
Alfano S (2007) Beta conjunction analysis tool. AAS 07 393. AAS/AIAA Space Flight Mechanics Meeting, Sedona, Arizona, 28 Jan–01 Feb 2007
14.
Chan FK (2002) Determination of minimum spacecraft separation at conjunction. AIAA/AAS Astrodynamics Specialist Conference, Monterey, CA
15.
Alfano S (2007) Review of conjunction probability methods for short—term encounters. AAS 07-148. AAS/AIAA Space Flight Mechanics Meeting, Sedona, Arizona, 28 Jan–01 Feb 2007
16.
CCSDS Secretariat (2012) Draft recommendation for space data system standards: conjunction data message. Draft recommended standard CCSDS 508.0-R-1
17.
Wang H (2007) Control and trajectory safety of rendezvous and docking. National University of Defense Technology, Changsha
18.
Wang H, Li HY, Tang GJ (2006) General method for calculating spacecraft collision probability. J Natl Univ Defense Technol 28(4):27–31
19.
Wang H, Li HY, Tang GJ (2007) The V-bar departure control in rendezvous and docking under field of view constraint. J Astronaut 28(1):28–32
20.
Wang H, Li HY, Tang GJ (2007) Collision probability based trajectory safety in close range guidance phase of rendezvous and docking. J Astronaut 28(3):648–652
21.
Wang H, Li HY, Tang GJ (2007) Trajectory safety for close range guidance phase of rendezvous and docking. J Astronaut 28(6):648–652
22.
Wang H, Li HY, Tang GJ (2008) Collision probability based optimal collision avoidance maneuver in rendezvous and docking. J Astronaut 29(1):220–223
23.
Cheng T, Liu J, Wang RL et al (2006) Collision probability analysis and application of cataloged space debris. Chin J Space Sci 26(6):452–458
24.
Cheng T (2006) Collision probability analysis and application of cataloged space debris. Graduate School of Chinese Academy of Sciences, Beijing
25.
Feng H (2008) Analysis and research for space debris collision probability and its threshold. Graduate School of Chinese Academy of Sciences, Beijing
26.
Yang X (2010) Analysis and research for space debris collision probability and its sensitivity. Graduate School of Chinese Academy of Sciences, Beijing
27.
Zhang MX (2010) Research on calculation method of spacecraft collision probability. Harbin Institute of Technology, Harbin
28.
Wu B (2011) Research on collision probability between space objects during encounter. The PLA Information Engineering University, Zhengzhou
29.
Chan FK (2003) Spacecraft collision probability for long-term encounters. AAS 03-549. AAS/AIAA Astrodynamics Specialist Conference, Big Sky, Montana, 3–7 Aug 2003
30.
Patera RP (2003) Satellite collision probability for non-linear relative motion. J Guidance Control Dyn 26(5):728–733CrossRef
31.
Patera RP (2006) Collision probability for larger bodies having nonlinear relative motion. J Guidance Control Dyn 29(6):1468–1471CrossRef
32.
Slater GL, Byram SM, Williams TW (2006) Collision avoidance for satellites in formation flight. J Guidance Control Dyn 29(5):1139–1146CrossRef
33.
Alfano S (2006) Addressing nonlinear relative motion for spacecraft collision probability. AIAA 2006-6760. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Keystone, Colorado
34.
McKinley DP (2006) Development of a nonlinear probability of collision tool for the Earth observing system. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Keystone, Colorado
35.
Xu XL, Xiong YQ (2011) A research on collision probability calculation of space debris for nonlinear relative motion. Acta Astron Sinica 52(1):73–85
36.
Zhang G (2008) Collision prediction and avoidance control for satellites in formation flying. Dalian University of Technology, Dalian, p 6
37.
Luo YZ, Liang LB, Wang H, Tang GJ (2011) Quantitative performance for spacecraft rendezvous trajectory safety. J Guidance Control Dyn 34(4):1264–1269CrossRef
38.
Liang LB, Luo YZ, Tang GJ, Li HY (2010) Safety-optimal impulsive rendezvous with trajectory uncertainties. In: 61st international astronautical congress, Prague, Czech Republic
39.
Liang LB, Luo YZ, Wang H et al (2010) Characteristic analysis of space rendezvous trajectory safety. J Natl Univ Defense Technol 32(5):17–22
40.
Liang LB (2011) Quantitative performance and design optimization approach of close-range rendezvous trajectory safety. National University of Defense Technology, Changsha, p 4
41.
Liang LB, Luo YZ, Wang H et al (2010) Study on the quantitative performance index of space rendezvous trajectory safety. J Astronaut 31(10):2239–2245
42.
Coppola VT, Woodburn J, Hujsak R (2004) Effects of cross correlated covariance on spacecraft collision probability. AAS 04-181. The AAS/AIAA Space Flight Mechanics Meeting
43.
Bird D (2013) Conjunction summary message guide. 64th international astronautical congress, Beijing, China
44.
Alfriend KT, Akella MR, Frisbee J et al (1999) Probability of collision error analysis. Space Debris 1:21–35CrossRef
45.
Bai XZ, Chen L (2008) Research on calculational method of collision probability between space objects. J Astronaut 29(4):1435–1442
46.
Bai XZ, Chen L (2009) A rapid algorithm of space debris collision probability based on space compression and infinite series. Acta Math Applicatae Sinica 32(2):336–353MathSciNetMATH
47.
Zheng QY, Wu LD (2004) A computation method to warn the collision event between space probe and debris. Acta Astron Sinica 45(4):422–427
48.
Liu J, Wang RL, Zhang HB (2004) Space debris collision prediction research. Chin J Space Sci 24(6):462–469
49.
Hoots FR, Crawford LL, Roehrich RL (1984) An analytic method to determine future close approaches between satellites. Celest Mech 33(2):143–158CrossRefMATH
50.
Liou JC (2009) ISS crew seeks safe haven during debris flyby. Orbital Debris Q News 13(4):3
51.
Vallado DA (2004) Fundamentals of astrodynamics and applications, 2nd edn. Microcosm Press, El SegundoMATH
Metadata
Title
Calculation of Collision Probability
Authors
Lei Chen
Xian-Zong Bai
Yan-Gang Liang
Ke-Bo Li
Copyright Year
2017
Publisher
Springer Singapore
Book
Orbital Data Applications for Space Objects

Print ISBN: 978-981-10-2962-2

Electronic ISBN: 978-981-10-2963-9

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-981-10-2963-9_5

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