Spatial Convex but Non-strictly Convex Double-Pyramidal Central Configurations of the (2n+2)-Body Problem

被引：0

作者：

Corbera, Montserrat ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] Univ Vic, Dept Enginyeries, Univ Cent Catalunya, C Laura 13, Barcelona 08500, Spain

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2020年 / 32卷 / 04期

基金：

欧盟地平线“2020”;

关键词：

Spatial central configuration; Convex but non-strictly convex central configurations; n-body problem; BODY PROBLEM;

D O I：

10.1007/s10884-019-09798-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A configuration of the N bodies is convex if the convex hull of the positions of all the bodies in R3does not contain in its interior any of these bodies. And a configuration is strictly convex if the convex hull of every subset of the N bodies is convex. Recently some authors have proved the existence of convex but non-strictly convex central configurations for some N-body problems. In this paper we prove the existence of a new family of spatial convex but non-strictly convex central configurations of the (2n+2)-body problem.

引用

页码：1965 / 1982

页数：18

共 50 条

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