Using the К-Means Method for Aggregating the Masses of Elongated Celestial Bodies


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Abstract

An approach based on the so-called K-means method has been used to analyze the approximation of gravitational potential of irregularly shaped celestial bodies as the potential of three gravitating balls. Relevant distributions have been constructed for asteroids Bacchus (2063), Kleopatra (216), and Eros (433). The proposed models have been compared with models that are based on alternative approaches [1–3].

About the authors

A. A. Burov

Federal Research Center Informatics and Management, Russian Academy of Sciences; National Research University Higher School of Economics

Email: nikon_v@list.ru
Russian Federation, Moscow; Moscow

A. D. Guerman

Centre for Mechanical and Aerospace Science and Technologies, University of Beira Interior

Email: nikon_v@list.ru
Portugal, Covilhã

V. I. Nikonov

Federal Research Center Informatics and Management, Russian Academy of Sciences; National Research University Higher School of Economics; Centre for Mechanical and Aerospace Science and Technologies, University of Beira Interior

Author for correspondence.
Email: nikon_v@list.ru
Russian Federation, Moscow; Moscow; Covilhã

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