The rolling ball problem on the plane revisited

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorBiscolla, Laura M. O.
dc.creatorLlibre, Jaume
dc.creatorOliva, Waldyr M.
dc.date2014-12-03T13:09:01Z
dc.date2016-10-25T20:09:50Z
dc.date2014-12-03T13:09:01Z
dc.date2016-10-25T20:09:50Z
dc.date2013-08-01
dc.date.accessioned2017-04-06T06:16:53Z
dc.date.available2017-04-06T06:16:53Z
dc.identifierZeitschrift Fur Angewandte Mathematik Und Physik. Basel: Springer Basel Ag, v. 64, n. 4, p. 991-1003, 2013.
dc.identifier0044-2275
dc.identifierhttp://hdl.handle.net/11449/111838
dc.identifierhttp://acervodigital.unesp.br/handle/11449/111838
dc.identifier10.1007/s00033-012-0279-8
dc.identifierWOS:000321977600006
dc.identifierhttp://dx.doi.org/10.1007/s00033-012-0279-8
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/922611
dc.descriptionBy a sequence of rollings without slipping or twisting along segments of a 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 ( 1983). His proof is more algebraic than ours which is more geometric. We also showed that generically no one of the three moves, in any elimination of the spin discrepancy, may have length equal to an integral multiple of 2 pi.
dc.languageeng
dc.publisherSpringer
dc.relationZeitschrift fur Angewandte Mathematik und Physik
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectControl theory
dc.subjectRolling ball
dc.subjectKendall problem
dc.subjectHammersley problem
dc.titleThe rolling ball problem on the plane revisited
dc.typeOtro


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