The global phase space for the 2- and 3-dimensional Kepler problems

DOI10.1007/s12346-009-0002-0zbMath1190.70005OpenAlexW2072455118MaRDI QIDQ845597

Jaume Llibre, Márcia P. Dantas

Publication date: 29 January 2010

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

Full work available at URL: https://doi.org/10.1007/s12346-009-0002-0

zbMATH Keywords

foliationscompactified phase spacesidereal Kepler problemsynodical Kepler problem

Mathematics Subject Classification ID

Two-body problems (70F05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (2)

Global bifurcation for a class of planar Filippov systems with symmetry ⋮ Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in \(\mathbb{R}_+^4\)

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