On the integral manifolds of the N-body problem Authors
Received: 03 December 1972 DOI:
Cite this article as: Cabral, H.E. Invent Math (1973) 20: 59. doi:10.1007/BF01405264 Abstract
Here we make a topological study of the map
I=(E, J), where E is the energy and J is the angular momentum of the n-body problem in 3-space. Part of the bifurcation set of I is characterized and some topological information is given on the integral manifolds of negative energy and zero angular momentum.
This paper is the author's doctoral dissertation prepared under the supervision of Professor S. Smale at the University of California, Berkeley. Part of this work was done during a 3 months visit at the Institut des Hautes Etudes Scientifiques.
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