Symplectic reduction applied to the non-integrability of the satellite problem
type: Item
instance of: scholarly article
title: Symplectic reduction applied to the non-integrability of the satellite problem
zbMATH Open document ID: 1042.37040
author: Michèle Audin
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2004-06-14T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73599
review text: The symmetric satellite is a Hamiltonian system with three degrees of freedom and two commuting first integrals. Continuing the examples of the author's previous paper [Ann. Fac. Sci. Toulouse, VI. Sér. 12, 1--23 (2003; Zbl 1042.37039)] it is proved that this Hamiltonian system is non-integrable using the well-known symplectic reduction.
Mathematics Subject Classification ID: 37J30
Mathematics Subject Classification ID: 37J15
Mathematics Subject Classification ID: 70H07
zbMATH DE Number: 2074286
zbMATH Keywords: symmetric satellite
zbMATH Keywords: symplectic reduction
zbMATH Keywords: nonintegrable Hamiltonian system
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
OpenAlex ID: W2326381220
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DOI: 10.5802/AFST.1043
description: scientific article; zbMATH DE number 2074286