New integrable cases in the dynamics of rigid bodies
type: Item
instance of: scholarly article
title: New integrable cases in the dynamics of rigid bodies
zbMATH Open document ID: 0606.70008
DOI: 10.1016/0093-6413(86)90059-5
published in: Mechanics Research Communications
publication date: 1986-01-01T00:00:00Z
review text: The problem of motion of a rigid body about a fixed point under the action of conservative potential and gyroscopic forces was treated in great detail only in the case when these forces admit a common axis of symmetry passing through the fixed point. In this version of the problem, six general integrable cases are known. In addition, over twenty particular solutions are also known. In spite of its practical importance, the case of non-axial symmetry has escaped attention for a long time. There are only one general and one particular known integrable cases. In the present paper we introduce four new general integrable cases three of which deal with problems having no axial symmetry.
Mathematics Subject Classification ID: 70E15
zbMATH DE Number: 3980557
zbMATH Keywords: conservative potential
zbMATH Keywords: gyroscopic forces
zbMATH Keywords: axis of symmetry
zbMATH Keywords: integrable cases
zbMATH Keywords: particular solutions
author: Hamad M. Yehia
MaRDI profile type: Publication
full work available at URL: 0093-6413(86)90059-5
OpenAlex ID: W4255231866
description: scientific article; zbMATH DE number 3980557