Stacked Central Configurations for the Spatial Nine-Body Problem

We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x1, x2, x3, x4, and x5 are at the vertices of a square pyramid Σ; the position vectors x6, x7, x8, and x9 are at the vertices of a square Π.

Saved in:
Bibliographic Details
Main Authors: Su Xia, Deng Chunhua
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/798468
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562465436598272
author Su Xia
Deng Chunhua
author_facet Su Xia
Deng Chunhua
author_sort Su Xia
collection DOAJ
description We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x1, x2, x3, x4, and x5 are at the vertices of a square pyramid Σ; the position vectors x6, x7, x8, and x9 are at the vertices of a square Π.
format Article
id doaj-art-44cd8f95bfb444b485d078ef8befdcad
institution Kabale University
issn 1537-744X
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-44cd8f95bfb444b485d078ef8befdcad2025-02-03T01:22:30ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/798468798468Stacked Central Configurations for the Spatial Nine-Body ProblemSu Xia0Deng Chunhua1Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai'an 223003, ChinaFaculty of Mathematics and Physics, Huaiyin Institute of Technology, Huai'an 223003, ChinaWe show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x1, x2, x3, x4, and x5 are at the vertices of a square pyramid Σ; the position vectors x6, x7, x8, and x9 are at the vertices of a square Π.http://dx.doi.org/10.1155/2013/798468
spellingShingle Su Xia
Deng Chunhua
Stacked Central Configurations for the Spatial Nine-Body Problem
The Scientific World Journal
title Stacked Central Configurations for the Spatial Nine-Body Problem
title_full Stacked Central Configurations for the Spatial Nine-Body Problem
title_fullStr Stacked Central Configurations for the Spatial Nine-Body Problem
title_full_unstemmed Stacked Central Configurations for the Spatial Nine-Body Problem
title_short Stacked Central Configurations for the Spatial Nine-Body Problem
title_sort stacked central configurations for the spatial nine body problem
url http://dx.doi.org/10.1155/2013/798468
work_keys_str_mv AT suxia stackedcentralconfigurationsforthespatialninebodyproblem
AT dengchunhua stackedcentralconfigurationsforthespatialninebodyproblem