Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations
type: Item
instance of: scholarly article
title: Nonlinear approximation of periodic three-body motions around collinear equilibrium configurations
zbMATH Open document ID: 0663.70013
DOI: 10.1007/BF00638991
author: K. Papadakis
author: V. V. Markellos
author: E. A. Perdios
published in: Astrophysics and Space Science
publication date: 1988-01-01T00:00:00Z
review text: Analytic approximations of the second order with respect to a small orbital parameter are given for coplanar periodic motions of three finite mass points in the neighbourhood of their collinear equilibrium configurations. The expressions obtained are tested for accuracy against the `exact' motions determined by numerical integration of the general three-body problem. Limiting cases of mass ratios of the three bodies are treated separately using `restricted' versions of the three-body problem.
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70M20
zbMATH DE Number: 4085097
zbMATH Keywords: periodic orbits
zbMATH Keywords: Analytic approximations
zbMATH Keywords: small orbital parameter
zbMATH Keywords: coplanar periodic motions
zbMATH Keywords: three finite mass points
zbMATH Keywords: mass ratios
zbMATH Keywords: three- body problem
MaRDI profile type: Publication
cites work: Periodic solutions about the collinear lagrangian solution in the general problem of three bodies
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cites work: BURRAU'S PROBLEM OF THREE BODIES
cites work: Three-dimensional periodic solutions around equilibrium points in Hill's problem
description: scientific article; zbMATH DE number 4085097