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Manuscripta Mathematica

, Volume 134, Issue 1–2, pp 157–169 | Cite as

Continued fractions and the second Kepler law

  • Oleg KarpenkovEmail author
Article

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.

Mathematics Subject Classification (2000)

Primary 30B70 Secondary 53A04 

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Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Technische Universität GrazGrazAustria

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