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.

引用

页码：199 / 207

页数：9

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