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 x (1), x (2), x (3), x (4), and x (5) are at the vertices of a square pyramid Σ; the position vectors x (6), x (7), x (8), and x (9) are at the vertices of a square Π.

Detalles Bibliográficos
Autores principales: Xia, Su, Chunhua, Deng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3703423/
https://www.ncbi.nlm.nih.gov/pubmed/23853541
http://dx.doi.org/10.1155/2013/798468
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author Xia, Su
Chunhua, Deng
author_facet Xia, Su
Chunhua, Deng
author_sort Xia, Su
collection PubMed
description We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x (1), x (2), x (3), x (4), and x (5) are at the vertices of a square pyramid Σ; the position vectors x (6), x (7), x (8), and x (9) are at the vertices of a square Π.
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spelling pubmed-37034232013-07-12 Stacked Central Configurations for the Spatial Nine-Body Problem Xia, Su Chunhua, Deng ScientificWorldJournal Research Article We show the existence of the twisted stacked central configurations for the 9-body problem. More precisely, the position vectors x (1), x (2), x (3), x (4), and x (5) are at the vertices of a square pyramid Σ; the position vectors x (6), x (7), x (8), and x (9) are at the vertices of a square Π. Hindawi Publishing Corporation 2013-06-13 /pmc/articles/PMC3703423/ /pubmed/23853541 http://dx.doi.org/10.1155/2013/798468 Text en Copyright © 2013 S. Xia and D. Chunhua. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xia, Su
Chunhua, Deng
Stacked Central Configurations for the Spatial Nine-Body Problem
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3703423/
https://www.ncbi.nlm.nih.gov/pubmed/23853541
http://dx.doi.org/10.1155/2013/798468
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AT chunhuadeng stackedcentralconfigurationsforthespatialninebodyproblem

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