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Publishing Language: Chinese

GEOMETRIC PROOF OF KEPLER'S THREE LAWS AND THE LAW OF UNIVERSAL GRAVITATION

Huangpi No.1 middle school, Wuhan, Hubei 430300
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Abstract

In high school textbooks, “the law of universal gravitation is derived from Kepler's law” and “Kepler's law is derived from the law of universal gravitation”, which are solved by approximate method, and the result is not convincing. In university textbooks or related literature, it is solved by calculus knowledge, which is not easy for students to understand. In this paper, Hamilton velocity vector diagram and simple geometric knowledge are used to skillfully solve the above problems.

Keywords

Kepler's lawlaw of universal gravitationHamilton theoremvector diagramgeometric method

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Physics and Engineering
Volume 32 Issue 3,
June 2022
Pages 125-130
DOI: 10.26599/PHYS.2022.9320323

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Cite this article:
LI D, LIU Y, JIANG F. GEOMETRIC PROOF OF KEPLER'S THREE LAWS AND THE LAW OF UNIVERSAL GRAVITATION. Physics and Engineering, 2022, 32(3): 125-130. https://doi.org/10.26599/PHYS.2022.9320323

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Received: 11 August 2021
Revised: 14 September 2021
Published: 30 June 2022
© 2022 Physics and Engineering.