Geodesic
On the motion of a~solid body on spherical surfaces
Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 62-70

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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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     author = {A. A. Burov},
     title = {On the motion of a~solid body on spherical surfaces},
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     url = {http://geodesic.mathdoc.fr/item/CMFD_2011_42_a6/}
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A. A. Burov. On the motion of a~solid body on spherical surfaces. Contemporary Mathematics. Fundamental Directions, Proceedings of the International Conference on Mathematical Control Theory and Mechanics (Suzdal, July 3–7, 2009), Tome 42 (2011), pp. 62-70. http://geodesic.mathdoc.fr/item/CMFD_2011_42_a6/