Periodic Solutions with Alternating Singularities in the Collinear Four-body Problem

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dc.creatorTiancheng, Ouyang
dc.creatorYan, Duokui
dc.date2008-11-19
dc.date.accessioned2026-07-07T10:19:33Z
dc.date.available2026-07-07T10:19:33Z
dc.descriptionThis paper shows the existence of a periodic orbit with singularity in the symmetric collinear four body problem. In each period of the orbit, there is a binary collision (BC) between the inner two bodies and a simultaneous binary collision (SBC) of the two clusters on both sides of the origin. The system is regularized and the existence is proven by using the implicit function theorem and a continuity argument on differential equations of the regularized Hamiltonian.
dc.descriptionsubmitted, manuscripta mathematica
dc.identifierhttps://arxiv.org/abs/0811.3199
dc.identifierhttp://arxiv.org/abs/0811.3199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174548
dc.subjectDynamical Systems
dc.subject70F10
dc.titlePeriodic Solutions with Alternating Singularities in the Collinear Four-body Problem
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