Geodesic
Numerical simulation of near Earth artificial space object dynamics using parallel computation
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2011), pp. 34-48
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A short survey of algorithms and software developed by the authors for studying dynamics of large groups of near Earth artificial space object is given. The software permits one to solve the following problems: simultaneous investigation of orbital evolution of a large number of artificial satellites and objects of space debris, including the analysis of the chaotic state, improving orbits, simulating the process of space debris formation and distribution by means of explosions and collisions, discovering approaches of space objects, and forecasting the probability of their collisions.
Keywords: numerical methods, Earth artificial satellites, space debris, improvement of orbits, dynamical randomness, probability of collision.
Mots-clés : long-term orbital evolution 
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T. V. Bordovitsyna; A. G. Aleksandrova; I. N. Chuvashov. Numerical simulation of near Earth artificial space object dynamics using parallel computation. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2011), pp. 34-48. http://geodesic.mathdoc.fr/item/VTGU_2011_4_a5/

[1] Rykhlova L. V., “Zasorennost okolozemnogo prostranstva ob'ektami tekhnogennogo proiskhozhdeniya”, Okolozemnaya astronomiya–2003 (Terskol, sentyabr 2003 g., Institut astronomii RAN), v. 2, VVM, SPb., 2003, tr. konf.

[2] Klinkrad H., Space debris, Springer, 2006, 430 pp.

[3] Avdyushev V. A., “Integrator Gaussa–Everkharta”, Vychisl. tekhnologii, 15:4 (2010), 31–47

[4] Bordovitsyna T. V., Avdyushev V. A., Teoriya dvizheniya ISZ. Analiticheskie i chislennye metody, Izd-vo Tom. un-ta, Tomsk, 2007, 105 pp.

[5] Chuvashov I. N., “Prognozirovanie dvizheniya ISZ s ispolzovaniem parallelnykh vychislenii. Uchet slabykh vozmuschenii”, Izv. vuzov. Fizika, 53:8/2 (2010), 22–29

[6] Bordovitsyna T. V., Aleksandrova A. G., “Chislennoe modelirovanie protsessa obrazovaniya orbitalnoi evolyutsii i raspredeleniya fragmentov kosmicheskogo musora v okolozemnom prostranstve”, Astron. vestn., 44 (2010), 259–272

[7] Cincotta P. M., Giordano C. M., Simob C., “Phase space structure of multi-dimensional systems by meansof the mean exponential growth factor of nearby orbits”, Physica D, 182 (2003), 151–178 | DOI | MR | Zbl

[8] Valk S., Delsate N., Lemaitre A., Carletti T., “Global dynamics of high area-to-mass ratios GEO space debris by means of the MEGNO indicator”, Adv. Space Res., 43 (2009), 1509–1526 | DOI

[9] Bordovitsyna T. V., Aleksandrova A. G., Chuvashov I. N., “Kompleks algoritmov i programm dlya issledovaniya khaotichnosti v dinamike iskusstvennykh sputnikov Zemli”, Izv. vuzov. Fizika, 53:8/2 (2010), 14–21

[10] Shefer V. A., Regulyariziruyuschie i stabiliziruyuschie preobrazovaniya v zadache issledovaniya dvizheniya osobykh malykh planet i komet, avtoref. dis. $\dots$ k.f.-m.n., Kazan, 1986, 13 pp.

[11] Forsait Dzh., Malkolm M., Mouler K., Mashinnye metody matematicheskikh vychislenii, Mir, M., 1980, 279 pp. | MR

[12] Chuvashov I. N., “Programmno-matematicheskoe obespechenie dlya resheniya obratnykh zadach dinamiki ISZ s ispolzovaniem parallelnykh vychislenii”, Izv. vuzov. Fizika, 54:6/2 (2011), 5–12

[13] Syusina O. M., Tamarov V. A., Chernitsov A. M., “Novye algoritmy postroeniya metodom Monte-Karlo nachalnykh doveritelnykh oblastei dvizheniya malykh tel”, Izv. vuzov. Fizika, 52:10/2 (2009), 48–55

[14] Aleksandrova A. G., Bordovitsyna T. V., Chuvashov I. N. Ob issledovanii dolgovremennoi evolyutsii doveritelnykh oblastei dvizheniya ob'ektov geostatsionarnoi zony, Izv. vuzov. Fizika, 52:10/2 (2009), 20–25