English

Kepler's laws with introduction to differential calculus

History and Overview 2017-03-02 v2

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.

Cite

@article{arxiv.1702.06537,
  title  = {Kepler's laws with introduction to differential calculus},
  author = {Makar Plakhotnyk},
  journal= {arXiv preprint arXiv:1702.06537},
  year   = {2017}
}

Comments

60 pages, 17 figures

R2 v1 2026-06-22T18:24:32.070Z