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arXiv · 0704.1221

Dynamics of the Tippe Top via Routhian Reduction

M. C. Ciocci·B. Langerock
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Abstract

We consider a tippe top modeled as an eccentric sphere, spinning on a horizontal table and subject to a sliding friction. Ignoring translational effects, we show that the system is reducible using a Routhian reduction technique. The reduced system is a two dimensional system of second order differential equations, that allows an elegant and compact way to retrieve the classification of tippe tops in six groups as proposed in [1] according to the existence and stability type of the steady states.

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M. C. Ciocci, B. Langerock. 2010-02-26. Dynamics of the Tippe Top via Routhian Reduction. https://doi.org/10.1134/s1560354707060032

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