A Poincaré section for the general heavy rigid body
arXiv:0803.0076 · doi:10.1137/080719029
Abstract
A general recipe is developed for the study of rigid body dynamics in terms of Poincaré 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.
25 pages, 10 figures