Continued fractions and the second Kepler law
Number Theory
2009-11-17 v1 Differential Geometry
Abstract
In this paper we introduce a link between geometry of ordinary continued fractions and trajectories of points that moves according to the second Kepler law. We expand geometric interpretation of ordinary continued fractions to the case of continued fractions with arbitrary elements.
Cite
@article{arxiv.0911.2791,
title = {Continued fractions and the second Kepler law},
author = {Oleg Karpenkov},
journal= {arXiv preprint arXiv:0911.2791},
year = {2009}
}
Comments
12 pages, 3 pictures