The rolling ball problem on the plane revisited
Biscolla, Laura M. O. (Universidade Paulista(Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Oliva, Waldyr M. (Instituto Superior Tecnico (Lisboa))

Date:	2013
Abstract:	By a sequence of rollings without slipping or twisting along segments of an straight line of the plane 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. We provide a new proof that with at most 3 moves we can go from a given initial state to an arbitrary final state. The first proof of this result is due to Hammersley [3]. His proof is more algebraic than ours which is more geometric.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The third author thanks the FCT (Portugal) for the partial support through Program POCTI/FEDER and PDCT/MAT/56476/2004.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Control theory ; Rolling ball
Published in:	ZAMP. Journal of Applied Mathematics and Physics, Vol. 64 Núm. 4 (2013) , p. 991-1003, ISSN 1420-9039

DOI: 10.1007/s00033-012-0279-8

Postprint 10 p, 572.7 KB

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