Embedding the Kepler problem as a surface of revolution

DOI10.1134/S1560354718060059zbMath1411.70008WikidataQ125388716 ScholiaQ125388716MaRDI QIDQ1739552

Richard Moeckel

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

surfaces of revolutioncelestial mechanicsJacobi-Maupertuis metric

Mathematics Subject Classification ID

Two-body problems (70F05) Applications of global differential geometry to the sciences (53C80) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Surfaces in Euclidean and related spaces (53A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Celestial mechanics (70F15)

Related Items (2)

Darboux inversions of the Kepler problem ⋮ Nonholonomic rolling of a ball on the surface of a rotating cone

Cites Work

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• Curvature and mechanics
• A symplectic look at surfaces of revolution.
• Elliptic functions and applications
• A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
• A Note on Isometric Embeddings of Surfaces of Revolution

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