Rolling of a ball on a surface. New integrals and hierarchy of dynamics
type: Item
instance of: scholarly article
title: Rolling of a ball on a surface. New integrals and hierarchy of dynamics
zbMATH Open document ID: 1058.70010
author: A. V. Borisov
author: Alexander A. Kilin
author: I. S. Mamaev
published in: Regular and Chaotic Dynamics
publication date: 2003-02-24T00:00:00Z
review text: The authors study the rolling a homogeneous ball on an arbitrary surface. They derive new cases when the problem is solved in quadratures, and present a nonholonomic generalization of Jacobi problem for inertial motion of a point on an ellipsoid. The results obtained extend classical investigations by \textit{E. Routh} [Treatise on the dynamics of a system of rigid bodies. New York: Dover Publications (1955; Zbl 0065.16802)].
Mathematics Subject Classification ID: 70E18
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 70E40
zbMATH DE Number: 1873401
zbMATH Keywords: rigid body
zbMATH Keywords: nonholonomic constraint
zbMATH Keywords: integral of motion
zbMATH Keywords: invariant measure
zbMATH Keywords: Hamiltonian system
reviewed by: I. A. Taimanov
MaRDI profile type: Publication
DOI: 10.1070/RD2002V007N02ABEH000205
description: scientific article; zbMATH DE number 1873401