Action minimizing solutions of the Newtonian n-body problem: from homology to symmetry

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dc.creatorChenciner, Alain
dc.date2003-04-28
dc.date.accessioned2026-07-07T04:57:30Z
dc.date.available2026-07-07T04:57:30Z
dc.descriptionAn action minimizing path between two given configurations, spatial or planar, of the $n$-body problem is always a true -- collision-free -- solution. Based on a remarkable idea of Christian Marchal, this theorem implies the existence of new "simple" symmetric periodic solutions, among which the Eight for 3 bodies, the Hip-Hop for 4 bodies and their generalizations.
dc.identifierhttps://arxiv.org/abs/math/0304449
dc.identifierhttp://arxiv.org/abs/math/0304449
dc.identifierProceedings of the ICM, Beijing 2002, vol. 3, 255--264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67281
dc.subjectDynamical Systems
dc.subject70F07, 70F10, 70F16, 34C14, 34C25
dc.titleAction minimizing solutions of the Newtonian n-body problem: from homology to symmetry
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