The Lagrange rigid body motion
type: Item
instance of: scholarly article
title: The Lagrange rigid body motion
zbMATH Open document ID: 0466.58020
author: Pierre van Moerbeke
author: T. S. Ratiu
publication date: 1982-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74526
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 70E15
zbMATH DE Number: 3731010
zbMATH Keywords: motion of the three-dimensional rigid body
zbMATH Keywords: fixed point under the influence of gravity
zbMATH Keywords: symplectic structures
zbMATH Keywords: constants of the motion
zbMATH Keywords: Hamiltonian flow on a four-dimensional submanifold of \(so(3) \times so(3)\)
zbMATH Keywords: Euler-Poisson equations
zbMATH Keywords: coadjoint orbit of the Lie algebra of the semi-direct product group \(SO(3) \times so(3)\)
zbMATH Keywords: Hamiltonian flow on a coadjoint orbit in a Kac-Moody Lie algebra
zbMATH Keywords: elliptic integrals
MaRDI profile type: Publication
OpenAlex ID: W1974741683
cites work: Q4174811
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cites work: Linearization of Hamiltonian systems, Jacobi varieties and representation theory
cites work: Q4167627
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cites work: Euler-Poisson Equations on Lie Algebras and the N-Dimensional Heavy Rigid Body
DOI: 10.5802/AIF.866
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 3731010