Stacked Central Configurations for the Spatial Nine-Body Problem

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.

Bibliographic Details
Main Authors: Su Xia, Deng Chunhua
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/798468
id doaj-44cd8f95bfb444b485d078ef8befdcad
record_format Article
spelling doaj-44cd8f95bfb444b485d078ef8befdcad2020-11-24T21:47:11ZengHindawi LimitedThe 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
collection DOAJ
language English
format Article
sources DOAJ
author Su Xia
Deng Chunhua
spellingShingle Su Xia
Deng Chunhua
Stacked Central Configurations for the Spatial Nine-Body Problem
The Scientific World Journal
author_facet Su Xia
Deng Chunhua
author_sort Su Xia
title Stacked Central Configurations for the Spatial Nine-Body Problem
title_short 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_sort stacked central configurations for the spatial nine-body problem
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/798468
work_keys_str_mv AT suxia stackedcentralconfigurationsforthespatialninebodyproblem
AT dengchunhua stackedcentralconfigurationsforthespatialninebodyproblem
_version_ 1725898900707999744

Similar Items