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

Gregory Markowsky

doi:10.1016/j.exmath.2011.01.007

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

Gregory Markowsky

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

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 language	English
Pages (from-to)	253 - 282
Number of pages	30
Journal	Expositiones Mathematicae
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/j.exmath.2011.01.007
Publication status	Published - 2011
Externally published	Yes

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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.",

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AB - 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.

UR - http://www.sciencedirect.com/science/article/pii/S0723086911000089

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JO - Expositiones Mathematicae

JF - Expositiones Mathematicae

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

Abstract

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