Bicentric quadrilateral central configurations

A bicentric quadrilateral is a tangential cyclic quadrilateral. In a tangential quadrilateral, the four sides are tangents to an inscribed circle, and in a cyclic quadrilateral the four vertices lie on a circumscribed circle. In this paper, we classify all planar central configurations of the 4-body...

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Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Yuan, Pengfei
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:221389
Acceso en línea:https://ddd.uab.cat/record/221389
https://dx.doi.org/urn:doi:10.1016/j.amc.2019.06.021
Access Level:acceso abierto
Palabra clave:Convex central configuration
Four-body problem
Bicentric quadrilateral
Descripción
Sumario:A bicentric quadrilateral is a tangential cyclic quadrilateral. In a tangential quadrilateral, the four sides are tangents to an inscribed circle, and in a cyclic quadrilateral the four vertices lie on a circumscribed circle. In this paper, we classify all planar central configurations of the 4-body problem, where the four bodies are at the vertices of a bicentric quadrilateral.