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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https://ddd.uab.cat/record/221389

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title = "Bicentric quadrilateral central configurations",

abstract = "{\textcopyright} 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.",

keywords = "Bicentric quadrilateral, Convex central configuration, Four-body problem",

author = "Jaume Llibre and Pengfei Yuan",

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AU - Yuan, Pengfei

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N2 - © 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.

AB - © 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.

KW - Bicentric quadrilateral

KW - Convex central configuration

KW - Four-body problem

U2 - https://doi.org/10.1016/j.amc.2019.06.021

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

M3 - Article

VL - 362

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

M1 - 124507

ER -

Bicentric quadrilateral central configurations

Abstract

Keywords

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