Topology of the integral manifolds of the \(N\)-body problem with positive energy

DOI10.1023/A:1015169619435zbMath1032.70008OpenAlexW1534227097MaRDI QIDQ1604757

Hildeberto E. Cabral, Christopher K. McCord

Publication date: 8 July 2002

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015169619435

zbMATH Keywords

energyconfiguration spaceangular momentumsyzygieshomologylocal coordinatesdegeneracytangent bundlelevel setshomotopy equivalence

Mathematics Subject Classification ID

(n)-body problems (70F10) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (4)

Are Hamiltonian flows geodesic flows? ⋮ The integral manifolds of the \(N\) body problem ⋮ Symmetric central configurations and the inverse problem ⋮ Morse theory and central configurations in the spatial \(N\)-body problem

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