Publicación:
CONVEXITY AND SYMMETRY OF CENTRAL CONFIGURATIONS IN THE FIVE-BODY PROBLEM: LAGRANGE PLUS TWO

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dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2021
dc.date.accessioned2025-01-10T15:24:25Z
dc.date.available2025-01-10T15:24:25Z
dc.date.issued2021
dc.description.abstractWE STUDY CONVEXITY AND SYMMETRY OF CENTRAL CONFIGURATIONS IN THE FIVE BODY PROBLEM WHEN THREE OF THE MASSES ARA LOCATED AT THE VERTICES OF AN EQUILATERAL TRIANGLE, THAT WE CALL LAGRANGE PLUS TWO CENTRAL CONFIGURATIONS. FIRST, WE PROVE THAT THE TWO BODIES OUT OF THE VERTICES OF THE TRIANGLE CANNOT BE PLACED ON CERTAIN LINES. NEXT, WE GIVE A GEOMETRICAL CHARACTERIZATION OF SUCH CONFIGURATIONS IN THE SENSE AS THAT OF DZIOBEK, AND WE DESCRIBE THE ADMISSIBLE REGIONS WHERE THE TWO REMAINING BODIES CAN BE PLACED. FURTHERMORE, WE PROVE THAT ANY LAGRANGE PLUS TWO CENTRAL CONFIGURATION IS CONCAVE. FINALLY, WE SHOW NUMERICALLY THE EXISTENCE OF NON-SYMMETRIC CENTRAL CONFIGURATIONS OF THE FIVE BODY PROBLEM.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s12346-021-00504-7
dc.identifier.issn1662-3592
dc.identifier.issn1575-5460
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11866
dc.languagespa
dc.publisherQUALITATIVE THEORY OF DYNAMICAL SYSTEMS
dc.relation.uri10.1007/s12346-021-00504-7
dc.rightsPUBLICADA
dc.titleCONVEXITY AND SYMMETRY OF CENTRAL CONFIGURATIONS IN THE FIVE-BODY PROBLEM: LAGRANGE PLUS TWO
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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