Superhyperbolic expansion,noncollision singularities and symmetry configurations |
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| Authors: | Donald G. Saari Florin N. Diacu |
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| Affiliation: | (1) Department of Mathematics, Northwestern University, 60208-2730 Evanston, Illinois, USA;(2) Department of Mathematics and Statistics, University of Victoria, V8W 3P4 Victoria, B. C., Canada |
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| Abstract: | A large class of symmetry solutions of the Newtonian n-body problem cannot end in a noncollision singularity nor expand faster than any constant multiple of time.Following a suggestion from Christian Marchal, we extended the original theme of this essay to include superhyperbolic motion. The work of D. Saari was supported by NSF Grant ISI 9103180; the work of F. Diacu was supported by NSERC Grant 3-48376 |
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| Keywords: | N-body problem noncollision singularities symmetry configurations superhyperbolic expansion |
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