Inventiones mathematicae

, Volume 20, Issue 1, pp 59–72

On the integral manifolds of theN-body problem


  • H. E. Cabral
    • Instituto de Matematica Pura e Aplicada

DOI: 10.1007/BF01405264

Cite this article as:
Cabral, H.E. Invent Math (1973) 20: 59. doi:10.1007/BF01405264


Here we make a topological study of the mapI=(E, J), whereE is the energy andJ is the angular momentum of then-body problem in 3-space. Part of the bifurcation set ofI is characterized and some topological information is given on the integral manifolds of negative energy and zero angular momentum.

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© Springer-Verlag 1973