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Central configurations in the spatial -body problem for =5,6 with equal masses

2020
journal article
article
10.1007/s10569-020-09993-1
Journal
Celestial Mechanics and Dynamical Astronomy
100
Author
Moczurad Małgorzata

Zgliczyński Piotr
Volume
132
Article ID
56
ISSN
0923-2958
eISSN
1572-9478
Keywords in English

central configurations

symmetries

interval arithmetic

computer assisted proof

Language
English
Journal language
English
Abstract in English

We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n=5 and 6, with equal masses. For each central configuration, we give a full list of its Euclidean symmetries. For all masses sufficiently close to the equal masses case, we give an exact count of configurations in the planar case for n=4,5,6,7 and in the spatial case for n=4,5,6.

Affiliation
Wydział Matematyki i Informatyki : Instytut Informatyki i Matematyki Komputerowej
Scopus© citations
2
dc.abstract.enWe present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n=5 and 6, with equal masses. For each central configuration, we give a full list of its Euclidean symmetries. For all masses sufficiently close to the equal masses case, we give an exact count of configurations in the planar case for n=4,5,6,7 and in the spatial case for n=4,5,6.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.accessioned2021-03-10T08:17:08Z
dc.date.available2021-03-10T08:17:08Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja autorska (postprint)
dc.description.volume132pl
dc.identifier.articleid56pl
dc.identifier.doi10.1007/s10569-020-09993-1pl
dc.identifier.eissn1572-9478pl
dc.identifier.issn0923-2958pl
dc.identifier.project2015/19/B/ST1/01454 and 2019/35/B/ST1/00655pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/266959
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.encomputer assisted proofpl
dc.subtypeArticlepl
dc.titleCentral configurations in the spatial $n$-body problem for $n$=5,6 with equal massespl
dc.title.journalCelestial Mechanics and Dynamical Astronomypl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We present a computer assisted proof of the full listing of central configurations for spatial n-body problem for n=5 and 6, with equal masses. For each central configuration, we give a full list of its Euclidean symmetries. For all masses sufficiently close to the equal masses case, we give an exact count of configurations in the planar case for n=4,5,6,7 and in the spatial case for n=4,5,6.
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
2021-03-10T08:17:08Z
dc.date.available
2021-03-10T08:17:08Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.version
ostateczna wersja autorska (postprint)
dc.description.volumepl
132
dc.identifier.articleidpl
56
dc.identifier.doipl
10.1007/s10569-020-09993-1
dc.identifier.eissnpl
1572-9478
dc.identifier.issnpl
0923-2958
dc.identifier.projectpl
2015/19/B/ST1/01454 and 2019/35/B/ST1/00655
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/266959
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
computer assisted proof
dc.subtypepl
Article
dc.titlepl
Central configurations in the spatial $n$-body problem for $n$=5,6 with equal masses
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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