Kepler's laws with introduction to differential calculus
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2017
- DOI:
- 10.48550/arXiv.1702.06537
- arXiv:
- arXiv:1702.06537
- Bibcode:
- 2017arXiv170206537P
- Keywords:
-
- Mathematics - History and Overview
- E-Print:
- 60 pages, 17 figures