On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case
type: Item
instance of: scholarly article
title: On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case
zbMATH Open document ID: 0569.70029
DOI: 10.1016/0021-8928(83)90131-4
author: A. A. Saitbattalov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The sufficient conditions for the orbital stability of periodic Poincaré solutions in the case of natural degeneracy are obtained for a certain class of Hamiltonian systems with two degrees of freedom. The orbital stability of periodic Poincaré solutions in the problem of periodic motions relative to the centre of mass of a dynamically symmetric artificial satellite with an inertia ellipsoid close to a sphere, in a circular orbit, is investigated as an application.
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 3909823
zbMATH Keywords: sufficient conditions
zbMATH Keywords: orbital stability
zbMATH Keywords: periodic Poincaré solutions
zbMATH Keywords: natural degeneracy
zbMATH Keywords: Hamiltonian systems with two degrees of freedom
zbMATH Keywords: dynamically symmetric artificial satellite
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90131-4
OpenAlex ID: W2012900515
cites work: Q5639680
cites work: A Proof of the Convergence of the Poincare-von Zeipel Procedure in Celestial Mechanics
cites work: Q4077489
description: scientific article; zbMATH DE number 3909823