DUGiDocsOn central congurations of the (kn)-body problem
dc.contributor.author
dc.date.accessioned
2019-10-31T12:12:14Z
dc.date.available
2019-10-31T12:12:14Z
dc.date.issued
2019-08-15
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0022-247X
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dc.description.abstract
We consider planar central configurations of the Newtonian kn-body problem consisting in k groups of regular n-gons of equal masses, called (k , n)-crown. We derive the equations of central configurations for a general ( k, n)-crown. When k = 2 we prove the existence of a twisted (2, n)-crown for any value of the mass ratio. Moreover, for n = 3, 4 and any value of the mass ratio, we give the exact number of twisted (2, n)-crowns, and describe their location. Finally, we conjecture that for any value of the mass ratio there exist exactly three (2; n)-crowns for n>=5
dc.description.sponsorship
The authors are supported by MINECO grants MTM2016-80117-P and MTM2016-77278-P (FEDER) and Catalan (AGAUR) grants 2017 SGR 1374 and 2017 SGR 1617
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17 p.
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application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
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Versió preprint del document publicat a: https://doi.org/10.1016/j.jmaa.2019.04.010
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© Journal of Mathematical Analysis and Applications, 2019, vol. 476, núm. 2, p. 720-736
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Articles publicats (D-IMAE)
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Tots els drets reservats
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Barrabés Vera, Esther Cors Iglesias, Josep Maria 2019 On central congurations of the (kn)-body problem Journal of Mathematical Analysis and Applications 476 2 720 736
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dc.title
On central congurations of the (kn)-body problem
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info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/submittedVersion
dc.identifier.doi
dc.identifier.idgrec
030329
dc.type.peerreviewed
peer-reviewed