DUGiDocsOn central configurations of the κn-body problem
dc.contributor.author
dc.date.accessioned
2019-11-11T09:38:25Z
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2019-11-11T09:38:25Z
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 κn-body problem consisting in κ groups of regular n-gons of equal masses, called (κ,n)-crown. We derive the equations of central configurations for a general (κ,n)-crown. When κ=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
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application/pdf
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spa
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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-IMA)
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Tots els drets reservats
dc.title
On central configurations of the κn-body problem
dc.type
info:eu-repo/semantics/article
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info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/submittedVersion
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dc.type.peerreviewed
peer-reviewed