An application fo the Nekhoroshev theorem to the restricted three-body problem
type: Item
instance of: scholarly article
title: An application fo the Nekhoroshev theorem to the restricted three-body problem
zbMATH Open document ID: 0967.70503
DOI: 10.1007/BF00728351
author: Alessandra Celletti
author: Laura Ferrara
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1997-11-25T00:00:00Z
review text: The stability of motion in the planar circular restricted three-body problem is considered. The Hamiltonian of the perturbed motion is expresed in the canonical Delaunay variables and developed in the Fourier series taking into account a small parameter. The Nekhoroshev theorem which gives an exponentional estimate of the time of stability of nearly integrable Hamiltonian systems is applied. As a concrete application the Sun-Ceres-Jupiter case was considered. It is found that a stability of motion is possible for a time comparable to the age of the solar system and for a mass ratio of the primaries less or equal than \(10^{-6}\).
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70F15
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 70H14
zbMATH DE Number: 1077167
zbMATH Keywords: three-body problem
zbMATH Keywords: restricted circular three-body problem
zbMATH Keywords: stability of motion
zbMATH Keywords: Nekhoroshev theorem
reviewed by: Sergei Georgievich Zhuravlev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1077167