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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
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.
Received: 14.11.2017 Accepted: 23.12.2017
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
Linking options:
https://www.mathnet.ru/eng/nd595 https://www.mathnet.ru/eng/nd/v14/i1/p45
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Abstract page: | 236 | Full-text PDF : | 93 | References: | 27 |
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