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Regular version of the site

Article

О применении K-средних для определения распределения масс гантелеобразных небесных тел

Нелинейная динамика. 2018. Т. 14. № 1. С. 45-52.
Буров А. А., Герман А. Д., Распопова Е. А., Никонов В. И.

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 KK-mean algorithm proposed by the prominent Polish mathematician H. Steinhaus.