New central configurations of the (n+1)-body problem

被引：4
|
作者：
Carlos Fernandes, Antonio [1 ]
Augusto Garcia, Braulio [1 ]
Llibre, Jaume [2 ]
Fernando Mello, Luis [1 ]
机构：
[1] Univ Fed Itajuba, Inst Matemat & Comp, Ave BPS 1303, BR-37500903 Itajuba, MG, Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 124卷
关键词：
Central configuration; (n+1)-body problem; Celestial mechanics; BODY PROBLEM; BODIES; BIFURCATION; MASSES;
D O I：
10.1016/j.geomphys.2017.11.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we study central configurations of the (n + 1)-body problem. For the planar (n + 1)-body problem we study central configurations performed by n >= 2 bodies with equal masses at the vertices of a regular n-gon and one body with null mass. We also study spatial central configurations considering n bodies with equal masses at the vertices of a regular polyhedron and one body with null mass. (C) 2017 Elsevier B.V. All rights reserved.
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页码：199 / 207
页数：9
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