McGehee blow-up of the Kepler problem on surfaces of constant curvature

DOI10.1007/s12346-020-00349-6zbMath1476.70045OpenAlexW3003707092MaRDI QIDQ2301727

Claudio Vidal, Francisco Crespo, Y. Paulina Martínez, Jaime Andrade

Publication date: 25 February 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00349-6

zbMATH Keywords

blow-upMcGehee coordinatescurved Kepler problem

Mathematics Subject Classification ID

Celestial mechanics (70F15) Collisions in celestial mechanics, regularization (70F16)

Cites Work

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• Eulerian relative equilibria of the curved 3-body problems in 𝐒²
• Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2
• Polygonal homographic orbits in spaces of constant curvature
• Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• Invariant manifolds

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