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Central configurations in planar n-body problem with equal masses for n=5,6,7

2019
journal article
article
10.1007/s10569-019-9920-6
Journal
Celestial Mechanics and Dynamical Astronomy
100
Author
Moczurad Małgorzata

Zgliczyński Piotr
Volume
131
Article ID
46
ISSN
0923-2958
eISSN
1572-9478
Keywords in English

central configurations

symmetries

interval arithmetic

Krawczyk operator

Language
English
Journal language
English
Abstract in English

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.

Affiliation
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
Scopus© citations
14
dc.abstract.enWe 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.affiliationWydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowejpl
dc.contributor.authorMoczurad, Małgorzata - 130702 pl
dc.contributor.authorZgliczyński, Piotr - 132902 pl
dc.date.accessioned2020-01-10T08:37:53Z
dc.date.available2020-01-10T08:37:53Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume131pl
dc.identifier.articleid46pl
dc.identifier.doi10.1007/s10569-019-9920-6pl
dc.identifier.eissn1572-9478pl
dc.identifier.issn0923-2958pl
dc.identifier.project2015/19/B/ST1/01454pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/130312
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subject.encentral configurationspl
dc.subject.ensymmetriespl
dc.subject.eninterval arithmeticpl
dc.subject.enKrawczyk operatorpl
dc.subtypeArticlepl
dc.titleCentral configurations in planar n-body problem with equal masses for n=5,6,7pl
dc.title.journalCelestial Mechanics and Dynamical Astronomypl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
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.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
dc.contributor.authorpl
Moczurad, Małgorzata - 130702
dc.contributor.authorpl
Zgliczyński, Piotr - 132902
dc.date.accessioned
2020-01-10T08:37:53Z
dc.date.available
2020-01-10T08:37:53Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
131
dc.identifier.articleidpl
46
dc.identifier.doipl
10.1007/s10569-019-9920-6
dc.identifier.eissnpl
1572-9478
dc.identifier.issnpl
0923-2958
dc.identifier.projectpl
2015/19/B/ST1/01454
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/130312
dc.languagepl
eng
dc.language.containerpl
eng
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.enpl
central configurations
dc.subject.enpl
symmetries
dc.subject.enpl
interval arithmetic
dc.subject.enpl
Krawczyk operator
dc.subtypepl
Article
dc.titlepl
Central configurations in planar n-body problem with equal masses for n=5,6,7
dc.title.journalpl
Celestial Mechanics and Dynamical Astronomy
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Moczurad, Małgorzata
Zgliczyński, Piotr

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