Kepler's laws without calculus
History and Philosophy of Physics
2018-04-12 v3 General Relativity and Quantum Cosmology
Popular Physics
Abstract
Kepler's laws are derived from the inverse square law without the use of calculus and are simplified over previous such derivations.
Cite
@article{arxiv.1803.06770,
title = {Kepler's laws without calculus},
author = {William G Unruh},
journal= {arXiv preprint arXiv:1803.06770},
year = {2018}
}
Comments
11pages 3 figures --second version adds polygonal solution to equations. Third version cleans up the derivation of the polygonal ellipse