A Poincar\'e section for the general heavy rigid body
Chaotic Dynamics
2013-06-25 v1
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.
Cite
@article{arxiv.0803.0076,
title = {A Poincar\'e section for the general heavy rigid body},
author = {Sven Schmidt and Holger R. Dullin and Peter H. Richter},
journal= {arXiv preprint arXiv:0803.0076},
year = {2013}
}
Comments
25 pages, 10 figures