Linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem. II
type: Item
instance of: scholarly article
title: Linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem. II
zbMATH Open document ID: 0767.70007
DOI: 10.1007/BF00612974
author: S. Singh
published in: Astrophysics and Space Science
publication date: 1993-05-16T00:00:00Z
review text: The linear stability of the triangular equilibrium points in the photogravitational elliptic restricted three-body problem is examined and the stability regions are determined in the space of the parameters. It is found that radiation pressure exerts a significant influence on the stability regions. For certain intervals of radiation values these regions become qualitatively different from the gravitational case as well as the solar system case considered in part I [\textit{V. V. Markellos}, \textit{E. Perdios} and \textit{P. Labropoulou}, Astrophys, Space Sci. 194, No. 2, 207-213 (1992)]. There exist values of the common radiation factor, in the range considered, for which the triangular equilibrium points are stable for the entire range of mass distribution among the primaries and for large eccentricities of their orbits.
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 167331
zbMATH Keywords: stability regions
zbMATH Keywords: common radiation factor
zbMATH Keywords: large eccentricities
MaRDI profile type: Publication
cites work: Linear stability and the resonance cases for the triangular libration points for the doubly photo-gravitational elliptic restricted problem of three bodies
cites work: Linear stability of the triangular equilibrium points in the photogravitational elliptic restricted problem. I
cites work: The stability of the triangular points in the elliptic restricted problem
cites work: BURRAU'S PROBLEM OF THREE BODIES
cites work: Die Bewegung in der N�he der Dreieckspunkte des elliptischen eingeschr�nkten Dreik�rperproblems
full work available at URL: https://doi.org/10.1007/bf00612974
OpenAlex ID: W4249285623
description: scientific article; zbMATH DE number 167331