|
This article is cited in 1 scientific paper (total in 1 paper)
Tangential Trapezoid Central Configurations
Pengfei Yuana, Jaume Llibreb a 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.
Received: 12.12.2019 Accepted: 27.10.2020
Citation:
Pengfei Yuan, Jaume Llibre, “Tangential Trapezoid Central Configurations”, Regul. Chaotic Dyn., 25:6 (2020), 651–661
Linking options:
https://www.mathnet.ru/eng/rcd1088 https://www.mathnet.ru/eng/rcd/v25/i6/p651
|
Statistics & downloads: |
Abstract page: | 105 | References: | 26 |
|