Revisiting the mathematical synthesis of the laws of Kepler and Galileo leading to Newton's law of universal gravitation

Autor:	Hsiang, Wu-Yi, Straume, Eldar
Rok vydání:	2014
Předmět:	Mathematics - History and Overview 01-02 01A45 70-02 70Fxx
Druh dokumentu:	Working Paper
Popis:	Newton's deduction of the inverse square law from Kepler's ellipse and area laws together with his "superb theorem" on the gravitation attraction of spherically symmetric bodies, are the major steps leading to the discovery of the law of universal gravitation (Principia, 1687). The goal of this article is to revisit some "well-known" events in the history of science, and moreover, to provide elementary and clean-cut proofs, still in the spirit of Newton, of these major advances. Being accessible to first year university students, the educational aspect of such a coherent presentation should not be overlooked. Comment: Article on 22 pages and with 4 figures, written up in 2012. In the present version the figures appear on 4 separate pages at the end
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1408.6758 Zobrazit plný text záznamu View this record from Arxiv