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Central configurations of the five-body problem with two isosceles triangles
Zeitschrift für angewandte Mathematik und Physik ( IF 2 ) Pub Date : 2021-07-09 , DOI: 10.1007/s00033-021-01585-9
Antonio Carlos Fernandes 1 , Braulio Augusto Garcia 1 , Luis Fernando Mello 1 , Lucas Ruiz dos Santos 1, 2
Affiliation  

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.



中文翻译:

具有两个等腰三角形的五体问题的中心构型

我们在具有以下性质的平面中给出了 5 体问题的中心配置的完整分类:由 1、2、3 表示的三个体位于等腰三角形的顶点,另外两个体对称相对于连接体 1 和 2 的节段的中线定位。

更新日期:2021-07-09
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