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Continued fractions and the second Kepler law. (English) Zbl 1422.11155
Summary: 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.

11J70 Continued fractions and generalizations
30B70 Continued fractions; complex-analytic aspects
70F05 Two-body problems
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