The only syzygy-free solution is Lagrange's

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dc.creatorMontgomery, Richard
dc.date2006-01-12
dc.date.accessioned2026-07-07T06:58:49Z
dc.date.available2026-07-07T06:58:49Z
dc.descriptionA syzygy in the three-body problem is a collinear instant. We prove that with the exception of Lagrange's solution every solution to the zero angular momentum Newtonian three-body problem suffers syzygies. The proof works for all mass ratios.
dc.description12 pages. 1 figure
dc.identifierhttps://arxiv.org/abs/math/0601269
dc.identifierhttp://arxiv.org/abs/math/0601269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107512
dc.subjectDynamical Systems
dc.subjectClassical Analysis and ODEs
dc.subject34C25, 37J20, 70E55
dc.titleThe only syzygy-free solution is Lagrange's
dc.typetext

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