The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold

Details The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold The flow of the N-body problem near a simultaneous-binary-collision singularity and integrals of motion on the collision manifold

Dec 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996arrma.134..303e&link_type=abstract

Archive for Rational Mechanics and Analysis, Volume 134, Issue 4, pp.303-340

Computer Science

3

Scientific paper

We study the flow for the N-body problem near a simultaneous-binarycollision singularity. We blow up the singularity to an invariant collision manifold. We show the existence of integrals of motion on the collision manifold. We integrate the flow on the collision manifold explicitly in terms of elementary functions. We give a complete description of the flow near the singularity.

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