This article is cited in 1 paper

Nonlinear Systems

Celtic stone dynamics on a plane with viscous friction

M. A. Munitsyna<sup>ab

a</sup> Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia
^b Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia

Abstract: We consider the problem on the dynamics of a Celtic stone on a fixed horizontal plane. By analogy with [1], it is assumed that a classical viscous friction force is exerted on the body by the plane. We analytically justify the change in the direction of rotation from positive (in the sense of rotation of the centroidal principal axes of inertia relative to the geometric symmetry axes of the body) to negative under certain constraints on the problem parameters. For an approximate system of equations describing the dynamics of the body, the corresponding initial conditions are determined and approximate expressions for the final angular velocity are given.

Keywords: Celtic stone, viscous friction.

Presented by the member of Editorial Board: A. G. Kushner

Received: 10.06.2020
Revised: 27.07.2021
Accepted: 15.10.2021

DOI: 10.31857/S0005231022030035

 English version: Automation and Remote Control, 2022, 83:3, 325–331

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