On the three-dimensional lunar problem and other perturbation problems of the Kepler problem
type: Item
instance of: scholarly article
title: On the three-dimensional lunar problem and other perturbation problems of the Kepler problem
zbMATH Open document ID: 0569.70013
DOI: 10.1016/0022-247X(83)90224-X
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1983-01-01T00:00:00Z
review text: The existence of quasiperiodic solutions with two and three basic frequencies of the three-dimensional restricted problem of three bodies for high values of the Jacobian constant is established using KAM-theory and appropriate regularization and introduction of action-angle-variables in the relevant unperturbed integrable system. A review of the spinor regularization of the Kepler problem is given.
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 3909807
zbMATH Keywords: existence of quasiperiodic solutions
zbMATH Keywords: two and three basic frequencies
zbMATH Keywords: three-dimensional restricted problem of three bodies
zbMATH Keywords: Jacobian constant
zbMATH Keywords: KAM-theory
zbMATH Keywords: regularization
zbMATH Keywords: action-angle-variables
zbMATH Keywords: spinor regularization
zbMATH Keywords: Kepler problem
reviewed by: Helmut Rüssmann
MaRDI profile type: Publication
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full work available at URL: 0022-247x(83)90224-x
OpenAlex ID: W1967151874
description: scientific article; zbMATH DE number 3909807