Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2018, Volume 14, Number 1, Pages 45–52
DOI: https://doi.org/10.20537/nd1801004
(Mi nd595)
 

This article is cited in 5 scientific papers (total in 5 papers)

Original papers

On the use of the $K$-means algorithm for determination of mass distributions in dumbbell-like celestial bodies

A. A. Burovab, A. D. Guermanc, E. A. Raspopovad, V. I. Nikonovc

a National Research University “Higher School of Economics”, ul. Myasnitskaya 20, Moscow, 101000, Russia
b Federal Research Center “Computer Science and Control”, ul. Vavilova 40, Moscow 119333, Russia
c Centre for Mechanical and Aerospace Science and Technologies, University of Beira Interior, Convento de Sto. António. 6201-001 Covilhã, Portugal
d Lomonosov Moscow State University, Leninskie Gory 1, Moscow, 119991, Russia
Full-text PDF (738 kB) Citations (5)
References:
Abstract: It is well known that several small celestial objects are of irregular shape. In particular, there exist asteroids of the so-called “dog-bone” shape. It turns out that approximation of these bodies by dumb-bells, as proposed by V.V. Beletsky, provides an effective tool for analytical investigation of dynamics in vicinities of such bodies. There remains the question of how to divide reasonably a “dogbone” body into two parts using available measurement data.
In this paper we introduce an approach based on the so-called $K$-mean algorithm proposed by the prominent Polish mathematician H. Steinhaus.
Keywords: $K$-means algorithm, small celestial bodies, mesh representation of an asteroid’s surface.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00625à
Received: 14.11.2017
Accepted: 23.12.2017
Bibliographic databases:
Document Type: Article
UDC: 531.5
MSC: 70K20, 70K42, 70F05
Language: Russian
Citation: A. A. Burov, A. D. Guerman, E. A. Raspopova, V. I. Nikonov, “On the use of the $K$-means algorithm for determination of mass distributions in dumbbell-like celestial bodies”, Nelin. Dinam., 14:1 (2018), 45–52
Citation in format AMSBIB
\Bibitem{BurGueRas18}
\by A.~A.~Burov, A.~D.~Guerman, E.~A.~Raspopova, V.~I.~Nikonov
\paper On the use of the $K$-means algorithm for determination of mass distributions in dumbbell-like celestial bodies
\jour Nelin. Dinam.
\yr 2018
\vol 14
\issue 1
\pages 45--52
\mathnet{http://mi.mathnet.ru/nd595}
\crossref{https://doi.org/10.20537/nd1801004}
\elib{https://elibrary.ru/item.asp?id=32773037}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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