The Kepler problem. History and theory
type: Item
instance of: scholarly article
zbMATH Open document ID: 1284.01005
publication date: 2013-10-23T00:00:00Z
Mathematics Subject Classification ID: 01-02
Mathematics Subject Classification ID: 01A05
Mathematics Subject Classification ID: 70-03
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 6218346
zbMATH Keywords: Kepler's problem
zbMATH Keywords: laws of orbital motion
zbMATH Keywords: Newtonian mechanics
zbMATH Keywords: Lagrangian mechanics
zbMATH Keywords: Hamiltonian mechanics
zbMATH Keywords: quantum mechanics
author: Alain Guichardet
MaRDI profile type: Publication
title: The Kepler problem. History and theory
review text: Johannes Kepler discovered empirically (in 1609 and 1618) the laws of motion of planets around the Sun and tried to provide the formal foundation of them. This problem was solved after Newton stated his laws of mechanics (in \textit{Principia}, 1687). But many mathematicians looked in the following after some new understandings to the problem within the framework of other theories such as Lagrangian mechanics, or Hamiltonian mechanics, or (even) quantum mechanics. The book under review gives an excellent survey of various ideas and results on the subject that appeared between 1609 and 2010. It consists of three chapters: History, Theory, (Mathematical) Appendix, and an extensive bibliography (more than 100 items).
reviewed by: V. N. Saliĭ
description: scientific article; zbMATH DE number 6218346