A retelling of newton's work on kepler's laws

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Abstract

This paper details an investigation into Keplera??s Laws. Newtona??s technique for deducing an inverse-square law from Keplera??s Laws is given a modern presentation, with necessary background material included. Keplera??s Laws are then deduced from the assumption of an inverse-square law. This is done in a geometric style, inspired by Newtona??s work. Finally, a problem involving planetary orbits is stated and solved using the earlier results of the paper.
Original languageEnglish
Pages (from-to)253 - 282
Number of pages30
JournalExpositiones Mathematicae
Volume29
Issue number3
DOIs
Publication statusPublished - 2011
Externally publishedYes

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