Bicentric quadrilateral central configurations

Jaume Llibre and Pengfei Yuan

Applied Mathematics and Computation, 2019, vol. 362, issue C, -

Abstract: 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.

Keywords: Convex central configuration; Four-body problem; Bicentric quadrilateral (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:362:y:2019:i:c:32

DOI: 10.1016/j.amc.2019.06.021

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