Infinitely Many Eclipses

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dc.creatorMontgomery, Richard
dc.date2001-10-26
dc.date.accessioned2026-07-07T04:44:07Z
dc.date.available2026-07-07T04:44:07Z
dc.descriptionWe show that any bounded zero-angular momentum solution for the Newtonian three-body problem must suffer infinitely many eclipses, or collinearities, provided that it does not suffer a triple collision. Motivation for the result comes from the dream of building a symbolic dynamics for the three-body problem, one whose symbols 1, 2, 3 representing the three types of eclipses. The proof involves the conformal geometry of the shape sphere.
dc.description14 pages. See also http://www.count.ucsc.edu/~rmont
dc.identifierhttps://arxiv.org/abs/math/0110300
dc.identifierhttp://arxiv.org/abs/math/0110300
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62508
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject70-FX, 37-J, 58-F05
dc.titleInfinitely Many Eclipses
dc.typetext

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