KAM theory and the stability of the solar system
type: Item
instance of: scholarly article
zbMATH Open document ID: 1298.85002
author: Thomas de Jong
publication date: 2014-08-28T00:00:00Z
Mathematics Subject Classification ID: 85A05
Mathematics Subject Classification ID: 85A04
Mathematics Subject Classification ID: 83C10
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 37J40
Mathematics Subject Classification ID: 70F07
zbMATH DE Number: 6335616
zbMATH Keywords: Kolmogorov-Arnold-Moser (KAM)-theory
zbMATH Keywords: stability
zbMATH Keywords: solar system
zbMATH Keywords: three-body problem
MaRDI profile type: Publication
title: KAM theory and the stability of the solar system
published in: Nieuw Archief voor Wiskunde. Vijfde Serie
review text: This pedagogical but nevertheless non-trivial paper deals with the question why the planets of our solar system have such stable nearly elliptic orbits in spite of the fact that besides the solar attraction, a large number of perturbations (namely the interaction with the other planets) should destroy this regularity from the first glance.NEWLINENEWLINEThe core of the answer uses the Kolmogorov-Arnold-Moser (KAM)-theory of dynamical systems, and in details, the three-body problem is discussed.NEWLINENEWLINEThe original title of the paper in Dutch reads: KAM-theorie an de stabiliteit van het zonnestelsel.
reviewed by: Hans-Jürgen Schmidt
description: scientific article; zbMATH DE number 6335616