The Free Euler Rigid Body Revisited

We review from a different perspective the approach and solution to the torque-free Euler equations, also called the free asymmetric top equations. We aim to simplify and broaden the study of the asymmetric free rigid body. This is an old but important integrable problem that has two first integrals...

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Bibliographic Details
Authors: Jiménez-Lara, Lidia, Llibre, Jaume|||0000-0002-9511-5999
Format: article
Publication Date:2023
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:284307
Online Access:https://ddd.uab.cat/record/284307
https://dx.doi.org/urn:doi:10.3390/dynamics3030032
Access Level:Open access
Keyword:Free rigid body
Euler top
Reduction
Energy hyperboloid
Description
Summary:We review from a different perspective the approach and solution to the torque-free Euler equations, also called the free asymmetric top equations. We aim to simplify and broaden the study of the asymmetric free rigid body. This is an old but important integrable problem that has two first integrals: the energy and the angular momentum