On two linear invariant relations in a problem of dynamics.
type: Item
instance of: scholarly article
zbMATH Open document ID: 1076.70502
author: S. V. Skrypnuk
publication date: 2001-08-27T00:00:00Z
Mathematics Subject Classification ID: 70E17
Mathematics Subject Classification ID: 70E40
zbMATH DE Number: 1635776
zbMATH Keywords: rigid body dynamics
zbMATH Keywords: Grioli equations
zbMATH Keywords: integral manifold
MaRDI profile type: Publication
title: On two linear invariant relations in a problem of dynamics.
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: Existence conditions of two linear invariant relations for differential equations of D. Grioli are investigated. For invariant relations of special kind it is shown that the integral manifold for these equations is completely determined by potential and gyroscopic functions which are the polynomials of the second order with respect to the vertical vector components.
reviewed by: A. M. Kovalev
description: scientific article; zbMATH DE number 1635776