On the history of the deduction of Kepler's laws from the laws of mechanics
type: Item
instance of: scholarly article
zbMATH Open document ID: 0977.70002
author: D. V. Anosov
publication date: 2001-06-21T00:00:00Z
Mathematics Subject Classification ID: 70-03
Mathematics Subject Classification ID: 70F05
Mathematics Subject Classification ID: 01A45
Mathematics Subject Classification ID: 01A50
zbMATH DE Number: 1595614
zbMATH Keywords: Newton's solution
zbMATH Keywords: Johann Bernoulli's solution
zbMATH Keywords: Hermann's solution
zbMATH Keywords: Runge-Lenz vector
zbMATH Keywords: Kepler problem
MaRDI profile type: Publication
title: On the history of the deduction of Kepler's laws from the laws of mechanics
published in: Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya
review text: In this paper the world-wide recognized expert in the theory of dynamical systems (cf. Anosov hyperbolic systems) describes the first three solutions of Kepler problem obtained by I. Newton, Johann Bernoulli, and J. Hermann (1678-1733), a disciple of Jakob Bernoulli. The last, less known solution introduces for the first time the so-called ``Runge-Lenz vector''. A beautiful essay on the history of mathematical analysis.
reviewed by: Oleg Titow
description: scientific article