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dc.contributor |
Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació |
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dc.contributor.author |
Alvarez, Martha |
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dc.contributor.author |
Corbera Subirana, Montserrat |
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dc.contributor.author |
Llibre, Jaume |
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dc.date.accessioned |
2018-03-13T19:41:29Z |
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dc.date.available |
2018-03-13T19:41:29Z |
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dc.date.created |
2016 |
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dc.date.issued |
2016 |
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dc.identifier.citation |
Alvarez-Ramírez, M., Corbera, M., Llibre J. (2016). On the central configurations in the spatial 5-body problem with four equal masses. Celestial Mech. Dynam. Astronom, 124(4), 433-456 |
es |
dc.identifier.issn |
1572-9478 |
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dc.identifier.uri |
http://hdl.handle.net/10854/5374 |
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dc.description.abstract |
We analyze the families of central configurations of the spatial 5-body problem
with four masses equal to 1 when the fifth mass m varies from 0 to +∞. In particular we
continue numerically, taking m as a parameter, the central configurations (which all are
symmetric) of the restricted spatial (4+1)-body problem with four equal masses and m = 0
to the spatial 5-body problem with equal masses (i.e. m = 1), and viceversa we continue
the symmetric central configurations of the spatial 5-body problem with five equal masses
to the restricted (4 + 1)-body problem with four equal masses. Additionally we continue
numerically the symmetric central configurations of the spatial 5-body problem with four
equal masses starting with m = 1 and ending in m = +∞, improving the results of Alvarez-
Ramírez et al. (Discrete Contin Dyn Syst Ser S 1: 505–518, 2008). We find four bifurcation
values of m where the number of central configuration changes. We note that the central
configurations of all continued families varying m from 0 to +∞ are symmetric. |
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dc.format |
application/pdf |
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dc.format.extent |
26 p. |
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dc.language.iso |
eng |
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dc.publisher |
Springer |
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dc.rights |
Tots els drets reservats |
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dc.rights |
(c) Springer (The original publication is available at www.springerlink.com) |
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dc.subject.other |
Matemàtica |
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dc.subject.other |
Hiperespai |
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dc.title |
On the central configurations in the spatial 5-body problem with four equal masses |
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dc.type |
info:eu-repo/semantics/article |
es |
dc.identifier.doi |
https://doi.org/10.1007/s10569-015-9670-z |
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dc.rights.accessRights |
info:eu-repo/semantics/openAccess |
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dc.type.version |
info:eu-repo/submittedVersion |
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dc.indexacio |
Indexat a WOS/JCR |
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dc.indexacio |
Indexat a SCOPUS |
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