Billiard dynamics of bouncing dumbbell

A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case, the ratio of masses is large and the dumbbell rotates fast...

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Bibliographic Details
Published in:arXiv.org 2013-06
Main Authors: Baryshnikov, Y, Blumen, V, Kim, K, Zharnitsky, V
Format: Article
Language:English
Online Access:Get full text
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Summary:A system of two masses connected with a weightless rod (called dumbbell in this paper) interacting with a flat boundary is considered. The sharp bound on the number of collisions with the boundary is found using billiard techniques. In case, the ratio of masses is large and the dumbbell rotates fast, an adiabatic invariant is obtained.
ISSN:2331-8422
DOI:10.48550/arxiv.1306.5201