Geodesic
On the use of the $K$-means algorithm for determination of mass distributions in dumbbell-like celestial bodies
Russian journal of nonlinear dynamics, Tome 14 (2018) no. 1, pp. 45-52

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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. 
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     title = {On the use of the $K$-means algorithm for determination of mass distributions in dumbbell-like celestial bodies},
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     url = {http://geodesic.mathdoc.fr/item/ND_2018_14_1_a3/}
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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. Russian journal of nonlinear dynamics, Tome 14 (2018) no. 1, pp. 45-52. http://geodesic.mathdoc.fr/item/ND_2018_14_1_a3/