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arXiv · 0803.0076

A Poincar\'e section for the general heavy rigid body

Sven Schmidt·Holger R. Dullin·Peter H. Richter
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Abstract

A general recipe is developed for the study of rigid body dynamics in terms of Poincar\'e surfaces of section. A section condition is chosen which captures every trajectory on a given energy surface. The possible topological types of the corresponding surfaces of section are determined, and their 1:1 projection to a conveniently defined torus is proposed for graphical rendering.

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Sven Schmidt, Holger R. Dullin, Peter H. Richter. 2008-03-01. A Poincar\'e section for the general heavy rigid body. https://doi.org/10.1137/080719029

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