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Regular and Chaotic Dynamics

, Volume 19, Issue 1, pp 81–99 | Cite as

Spin reversal of a rattleback with viscous friction

  • Hiroshi Takano
Article

Abstract

An effective equation of motion of a rattleback is obtained from the basic equation of motion with viscous friction depending on slip velocity. This effective equation of motion is used to estimate the number of spin reversals and the rattleback’s shape that causes the maximum number of spin reversals. These estimates are compared with numerical simulations based on the basic equation of motion.

Keywords

rattleback viscous friction 

MSC2010 numbers

70E18 70F40 

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Copyright information

© Pleiades Publishing, Ltd. 2014

Authors and Affiliations

  1. 1.Joetsu university of educationJoetsu, NiigataJapan

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