The rolling ball problem on the sphere
DOI:
https://doi.org/10.11606/issn.2316-9028.v6i2p145-154Abstract
By a sequence of rolling motions without slipping or twisting along arcs of great circles outside the surface of a sphere of radius R, a spherical ball of unit radius has to be transferred from an initial state to an arbitrary final state taking into account the orientation of the ball. Assuming R > 1 we provide a new and shorter prove of the result of Frenkel and Garcia in [4] that with at most 4 moves we can go from a given initial state to an arbitrary final state. Important cases such as the so called elimination of the spin discrepancy are done with 3 moves only.
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Published
2012-12-30
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Articles
How to Cite
The rolling ball problem on the sphere. (2012). The São Paulo Journal of Mathematical Sciences, 6(2), 145-154. https://doi.org/10.11606/issn.2316-9028.v6i2p145-154