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On the Motion of a Solid Body on Spherical Surfaces

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Abstract

A motion problem for material points embedded in a standard three-dimensional sphere S 3 is considered in terms of classical mechanics. In particular, spherical analogs of Newton’s laws are discussed.

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Authors and Affiliations

  1. Dorodnitsyn Computing Centre of the Russian Academy of Sciences, 40, Vavilova st., 119991, Moscow, Russia

    A. A. Burov

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  1. A. A. Burov
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Correspondence to A. A. Burov.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 42, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, Russia, 3–7 July, 2009), Part 1, 2011.

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Burov, A.A. On the Motion of a Solid Body on Spherical Surfaces. J Math Sci 199, 501–509 (2014). https://doi.org/10.1007/s10958-014-1878-z

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