Bicentric quadrilateral central configurations

Jaume Llibre; Pengfei Yuan

doi:https://doi.org/10.1016/j.amc.2019.06.021

Bicentric quadrilateral central configurations

Jaume Llibre, Pengfei Yuan

Department of Mathematics

Research output: Contribution to journal › Article › Research

Abstract

© 2019 Elsevier Inc. 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.

Original language	English
Article number	124507
Journal	Applied Mathematics and Computation
Volume	362
DOIs	https://doi.org/10.1016/j.amc.2019.06.021
Publication status	Published - 1 Dec 2019

Keywords

Bicentric quadrilateral
Convex central configuration
Four-body problem

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