Central configurations in planar n-body problem with equal masses for n=5,6,7
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Central configurations in planar n-body problem with equal masses for n=5,6,7
central configurations
symmetries
interval arithmetic
Krawczyk operator
We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for n=5,6,7 with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For n=8,9,10, we establish the existence of central configurations without any reflectional symmetry.
cris.lastimport.scopus | 2024-04-25T01:19:30Z | |
dc.abstract.en | We give a computer-assisted proof of the full listing of central configuration for n-body problem for Newtonian potential on the plane for n=5,6,7 with equal masses. We show all these central configurations have a reflective symmetry with respect to some line. For n=8,9,10, we establish the existence of central configurations without any reflectional symmetry. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej | pl |
dc.contributor.author | Moczurad, Małgorzata - 130702 | pl |
dc.contributor.author | Zgliczyński, Piotr - 132902 | pl |
dc.date.accessioned | 2020-01-10T08:37:53Z | |
dc.date.available | 2020-01-10T08:37:53Z | |
dc.date.issued | 2019 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 131 | pl |
dc.identifier.articleid | 46 | pl |
dc.identifier.doi | 10.1007/s10569-019-9920-6 | pl |
dc.identifier.eissn | 1572-9478 | pl |
dc.identifier.issn | 0923-2958 | pl |
dc.identifier.project | 2015/19/B/ST1/01454 | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/130312 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subject.en | central configurations | pl |
dc.subject.en | symmetries | pl |
dc.subject.en | interval arithmetic | pl |
dc.subject.en | Krawczyk operator | pl |
dc.subtype | Article | pl |
dc.title | Central configurations in planar n-body problem with equal masses for n=5,6,7 | pl |
dc.title.journal | Celestial Mechanics and Dynamical Astronomy | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
Open Access
Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence