On the existence of central configurations of p nested n-gons

被引：0

作者：

Corbera M. ^{[1
]}

Delgado J. ^{[2
]}

Llibre J. ^{[3
]}

机构：

[1] Departament de Tecnologies Digitals i de la Informació, Universitat de Vic, 08500 Vic (Barcelona)

[2] Departamento de Matemáticas, Universidad Autónoma Metropolitana-I, 09340 Mexico, D.F

[3] Departament de Matemàtiques, Universitat Autònoma de Barcelona

来源：

Qualitative Theory of Dynamical Systems | 2009年 / 8卷 / 2期

关键词：

Nested regular n-gons; Planar central configurations;

D O I：

10.1007/s12346-010-0004-y

中图分类号：

学科分类号：

摘要：

In this paper we prove the existence of central configurations of the pnbody problem where the masses are at the vertices of p nested regular n-gons with a common center for all p ≥ 2 and n ≥ 2. In such configurations all the masses on the same n-gon are equal, but masses on different n-gons could be different. © Birkhäuser/Springer Basel AG 2010.

引用

页码：255 / 265

页数：10

共 4 条

[1] On Nested Central Configurations of the 3n Body Problem
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J. M. Cors
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C. Vidal
Journal of Nonlinear Science, 2025, 35 (4)
[2] Nested planar central configurations
Mello, Luis Fernando
Fernandes, Antonio Carlos
REVISTA BRASILEIRA DE ENSINO DE FISICA, 2007, 29 (03): : 385 - 388
[3] Triple and quadruple nested central configurations for the planar n-body problem
Llibre, Jaume
Mello, Luis Fernando
PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (05) : 563 - 571
[4] On central configurations of the κn-body problem
Barrabes, E.
Cors, J. M.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 476 (02) : 720 - 736

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