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VOL. 18 | 2017 Trajectories of the Plate-Ball Problem
Vladimir I. Pulov, Mariana Ts. Hadzhilazova, Ivaïlo M. Mladenov

Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka

Abstract

The plate-ball problem concerns the shortest trajectories traced by a rolling sphere on a horizontal plane between the prescribed initial and final states meaning the positions and orientations of the sphere. Here we present an explicit parametric representation of these trajectories in terms of the Jacobian elliptic functions and elliptic integrals.

Information

Published: 1 January 2017
First available in Project Euclid: 14 January 2017

zbMATH: 1377.70023
MathSciNet: MR3616922

Digital Object Identifier: 10.7546/giq-18-2017-203-216

Rights: Copyright © 2017 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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