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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 085, 16 pp.
DOI: https://doi.org/10.20948/prepr-2018-85 (Mi ipmp2445) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Statistical model of space objects distribution in space of orbital parameters

G. K. Borovin, M. V. Zakhvatkin, V. A. Stepanyants, I. V. Usovik
Full-text PDF (762 kB) Citations (2)
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DOI: https://doi.org/10.20948/prepr-2018-85
Abstract: A statistical model of space debris is proposed. The model is based on the catalog of orbits of space objects, constructed using domestic and foreign sources. To build this model, the cataloged objects are clustering using criterion of closeness in a 4d space of orbital parameters characterizing the semimajor axis, eccentricity and position of the plane of the satellite orbits composing a cluster. The distribution of objects in each cluster is determined by the mathematical expectation and the covariance matrix of the spread of the orbital parameters of the cluster.
Keywords: space object, orbital parameters, model of space debris distribution.
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Document Type: Preprint
Language: Russian
Citation: G. K. Borovin, M. V. Zakhvatkin, V. A. Stepanyants, I. V. Usovik, “Statistical model of space objects distribution in space of orbital parameters”, Keldysh Institute preprints, 2018, 085, 16 pp.
Citation in format AMSBIB
\Bibitem{BorZakSte18}
\by G.~K.~Borovin, M.~V.~Zakhvatkin, V.~A.~Stepanyants, I.~V.~Usovik
\paper Statistical model of space objects distribution in space of orbital parameters
\jour Keldysh Institute preprints
\yr 2018
\papernumber 085
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp2445}
\crossref{https://doi.org/10.20948/prepr-2018-85}
\elib{https://elibrary.ru/item.asp?id=34923939}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p85
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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