Central configurations of the five-body problem with two isosceles triangles

被引:0
作者
Antonio Carlos Fernandes
Braulio Augusto Garcia
Luis Fernando Mello
Lucas Ruiz dos Santos
机构
[1] Universidade Federal de Itajubá,Instituto de Matemática e Computação
[2] University of Coimbra,CFisUC, Department of Physics
来源
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词
Central configuration; -Body problem; Convex central configuration; Stacked central configuration; Primary 70F10; 70F15; 37N05;
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摘要
We present a complete classification of the central configurations of the 5-body problem in a plane having the following properties: three bodies, denoted by 1, 2, 3, are at the vertices of an isosceles triangle, and the other two bodies are symmetrically located with respect to the mediatrix of the segment joining the bodies 1 and 2.
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