The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates
type: Item
instance of: scholarly article
title: The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates
zbMATH Open document ID: 0895.70005
DOI: 10.1007/BF00920045
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1998-09-21T00:00:00Z
review text: The Euler-Poinsot top, i.e. a torque-free rigid body with a fixed point, is discussed from a novel point of view. The approach is based on the so-called non-commutative integrability, and a global geometric description of the system is given through the Poisson's structure on the base of the fibering into two-dimensional invariant tori. The author explains why this system does not possess global generalized action-angle coordinates.
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 70G45
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 1059759
zbMATH Keywords: torque-free rigid body with fixed point
zbMATH Keywords: fiber bundle
zbMATH Keywords: global geometric description
zbMATH Keywords: Poisson's structure
author: Francesco Fassò
reviewed by: Yan-Zhu Liu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00920045
OpenAlex ID: W2161574934
description: scientific article; zbMATH DE number 1059759