The zero velocity surfaces in the photogravitational restricted three- body problem
type: Item
instance of: scholarly article
title: The zero velocity surfaces in the photogravitational restricted three- body problem
zbMATH Open document ID: 0666.70006
DOI: 10.1007/BF00113988
published in: Earth, Moon, and Planets
publication date: 1988-01-01T00:00:00Z
review text: The surfaces of zero velocity of the restricted three-body problem when the more massive body is luminous, are studied. The properties of the function \(\Omega\) which determines these surfaces are given. It is found that the topological properties of the zero velocity surfaces while not affected by the variation of the mass parameter, are essentially varied when the radiation pressure parameter changes values. Closed regions where the motion can be trapped are described while periodic motions about the ``out of plane'' equilibrium points seem to be probable.
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 4090860
zbMATH Keywords: surfaces of zero velocity
zbMATH Keywords: restricted three-body problem
zbMATH Keywords: more massive body
zbMATH Keywords: luminous
zbMATH Keywords: mass parameter
zbMATH Keywords: radiation pressure parameter
zbMATH Keywords: ``out of plane
zbMATH Keywords: equilibrium points
author: Omiros Ragos
author: C. G. Zagouras
MaRDI profile type: Publication
cites work: On the stability of triangular libration points of the photogravitational restricted circular three-body problem
cites work: On the collinear libration points in the photo-gravitational three-body problem
cites work: Stability of L4 and L5 against radiation pressure
cites work: Q4070368
cites work: The restricted 3-body problem with radiation pressure
cites work: BURRAU'S PROBLEM OF THREE BODIES
description: scientific article; zbMATH DE number 4090860