This article is cited in 1 paper

Tangential Trapezoid Central Configurations

Pengfei Yuan^a, Jaume Llibre<sup>b

a</sup> School of Mathematics and Statistics, Southwest University, 400715 Chongqing, China
^b Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain

Abstract: A tangential trapezoid, also called a circumscribed trapezoid, is a trapezoid whose four sides are all tangent to a circle within the trapezoid: the in-circle or inscribed circle. In this paper we classify all planar four-body central configurations, where the four bodies are at the vertices of a tangential trapezoid.

Keywords: convex central configuration, four-body problem, tangential trapezoid.

MSC: 70F07,70F15

Received: 12.12.2019
Accepted: 27.10.2020

Language: English

DOI: 10.1134/S156035472006009X

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