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Kepler's laws with introduction to differential calculus

2017/02/21 by Makar Plakhotnyk, Plakhotnyk, Makar
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Mathematics #History and Overview (math.HO) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1702.06537

openalex publication_date 2017/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explain the solution of the following two problems: obtaining of Kepler's laws from Newton's laws (so called two bodies problem) and obtaining the fourth Newton's law (the formula for gravitation) as a corollary of Kepler's laws. This small book is devoted to the scholars, who are interested in physics and mathematics. We also make a series of digressions, where explain some technique of the higher mathematics, which are used in the proofs.

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