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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 6, Pages 651–661
DOI: https://doi.org/10.1134/S156035472006009X (Mi rcd1088) 		 
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
Citations (1)
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DOI: https://doi.org/10.1134/S156035472006009X
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.
Funding agency Grant number
Federación Española de Enfermedades Raras MTM 2016-77278-P
European Research Council MSCA-RISE-2017-777911
Fundamental Research Funds for the Central Universities of China NO.XDJK2015C139
China Scholarship Council 201708505030
Agència de Gestiö d'Ajuts Universitaris i de Recerca 1617
The first author is partially supported by the Ministerio de Economía, Industria y Competividad, Agencia Estatal de Investigación grant MTM 2016-77278-P (FEDER), the Agència de Gestió d'Ajuts Universitaris i de Recerca grant 2017 SGR 1617, and the H2020 European Research Council grant MSCA-RISE-2017-777911. The second author is partially supported by Fundamental Research Funds for the Central Universities (NO.XDJK2015C139), China Scholarship Council (Number 201708505030).
Received: 12.12.2019
Accepted: 27.10.2020
Bibliographic databases:
Document Type: Article
MSC: 70F07,70F15
Language: English
Citation: Pengfei Yuan, Jaume Llibre, “Tangential Trapezoid Central Configurations”, Regul. Chaotic Dyn., 25:6 (2020), 651–661
Citation in format AMSBIB
\Bibitem{YuaLli20}
\by Pengfei Yuan, Jaume Llibre
\paper Tangential Trapezoid Central Configurations
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 6
\pages 651--661
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\crossref{https://doi.org/10.1134/S156035472006009X}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85097219741}
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  • https://www.mathnet.ru/eng/rcd1088
  • https://www.mathnet.ru/eng/rcd/v25/i6/p651
    • This publication is cited in the following 1 articles:
    1. Llibre Jaume, “Central configurations of the circular restricted 4-body problem with three equal primaries in the collinear central configuration of the-3 body problem”, Trends Comput Sci Inf Technol, 2021, 001  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:42
     
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