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Syzygies and the Integral Manifolds of the Spatial N-Body Problem

In: New Advances in Celestial Mechanics and Hamiltonian Systems

Author

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  • Christopher McCord

    (University of Cincinnati, Department of Mathematical Sciences)

Abstract

In the N-body problem, the integral manifolds of the spatial problem are considerably more complex than the corresponding planar manifolds. One source of that complexity is the anomalous behavior near syzygies. This note summarizes recent work with Hildeberto Cabral on the local structure of the integral manifolds at the syzygies.

Suggested Citation

  • Christopher McCord, 2004. "Syzygies and the Integral Manifolds of the Spatial N-Body Problem," Springer Books, in: J. Delgado & E. A. Lacomba & J. Llibre & E. Pérez-Chavela (ed.), New Advances in Celestial Mechanics and Hamiltonian Systems, pages 169-183, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-9058-7_11
    DOI: 10.1007/978-1-4419-9058-7_11
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