On the Geometry of the Kepler Problem

DOI10.2307/2975570zbMath0518.70008OpenAlexW4243434143WikidataQ56094116 ScholiaQ56094116MaRDI QIDQ3667982

John W. Milnor

Publication date: 1983

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975570

zbMATH Keywords

hyperbolic geometryconic sectionsvelocity vectorstereographic projectionsgeometrical properties of Kepler orbitsnondegenerate Kepler orbitRiemannian metric of constant curvaturevelocity circle geodesics

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Two-body problems (70F05) Geodesics in global differential geometry (53C22) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

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