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

共 50 条

[21] On Strictly Convex Central Configurations of the 2n-Body Problem
Barrabes, E.
Cors, J. M.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2019, 31 (04) : 2293 - 2304
[22] The golden ratio and super central configurations of the n-body problem
Xie, Zhifu
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (01) : 58 - 72
[23] Continua of central configurations with a negative mass in the n-body problem
Hachmeister, Julian
Little, John
McGhee, Jasmine
Pelayo, Roberto
Sasarita, Spencer
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2013, 115 (04) : 427 - 438
[24] On the central configurations of the planar 1+3 body problem
Corbera, Montserrat
Maria Cors, Josep
Llibre, Jaume
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2011, 109 (01) : 27 - 43
[25] The Co-circular Central Configurations of the -Body Problem
Llibre, Jaume
Valls, Claudia
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2015, 27 (01) : 55 - 67
[26] Inverse problem of central configurations in the collinear 5-body problem
Davis, Candice
Geyer, Scott
Johnson, William
Xie, Zhifu
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (05)
[27] A stochastic optimization algorithm for analyzing planar central and balanced configurations in the n-body problem
Doicu, Alexandru
Zhao, Lei
Doicu, Adrian
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2022, 134 (03)
[28] New stacked central configurations for the planar 5-body problem
Jaume Llibre
Luis Fernando Mello
Ernesto Perez-Chavela
Celestial Mechanics and Dynamical Astronomy, 2011, 110 : 43 - 52
[29] Central configurations of the five-body problem with equal masses
Tsung-Lin Lee
Manuele Santoprete
Celestial Mechanics and Dynamical Astronomy, 2009, 104 : 369 - 381
[30] On Centered Co-circular Central Configurations of the n-Body Problem
Montserrat Corbera
Claudia Valls
Journal of Dynamics and Differential Equations, 2019, 31 : 2053 - 2060

← 1 2 3 4 5 →