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Erschienen in:

2017 | OriginalPaper | Buchkapitel

5. Calculation of Collision Probability

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

Erschienen in: Orbital Data Applications for Space Objects

Verlag: 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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Vorheriges Kapitel Close Approach Analysis Between Space Object

Nächstes Kapitel Application of Collision Probability

Chan FK (2004) Short-term vs. long-term spacecraft encounters. AIAA 2004-5460. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island

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

Chan FK (2008) Spacecraft collision probability. The Aerospace Press, El SegundoCrossRef

Chan FK (1997) Collision probability analyses for Earth—orbiting satellites. Adv Astronaut Sci 96:1033–1048

Chan FK (2003) Improved analytical expressions for computing spacecraft collision probabilities. AAS 03-184. AAS/AIAA Space Flight Mechanics Meeting, Ponce, Puerto

Alfano S (2004) Accommodating rectangular objects in probability calculations. AIAA 2004-5217. AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Providence, Rhode Island

Alfano S (2005) A numerical implementation of spherical object collision probability. J Astronaut Sci 53(1):103–109

Alfano S (2006) Satellite collision probability enhancements. J Guidance Control Dyn 29(3):588–592CrossRef

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

Titel: Calculation of Collision Probability
verfasst von: Lei Chen
Xian-Zong Bai
Yan-Gang Liang
Ke-Bo Li
Verlag: Springer Singapore
Buch: Orbital Data Applications for Space Objects
Print ISBN: 978-981-10-2962-2

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

Copyright-Jahr: 2017
DOI: https://doi.org/10.1007/978-981-10-2963-9_5

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