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STABILITY AND BIFURCATION IN THE CIRCULAR RESTRICTED (N+2) -BODY PROBLEM IN THE SPHERE S2 WITH LOGARITHMIC POTENTIAL

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dc.creatorJAIME EDUARDO ANDRADE BUSTOS
dc.date2023
dc.date.accessioned2025-01-10T15:40:09Z
dc.date.available2025-01-10T15:40:09Z
dc.date.issued2023
dc.description.abstractIN THIS PAPER WE STUDY PART OF THE DYNAMICS OF A CIRCULAR RESTRICTED -BODY PROBLEM ON THE SPHERE AND CONSIDERING THE LOGARITHMIC POTENTIAL, WHERE PRIMARIES REMAIN IN A RING TYPE CONFIGURATION (IDENTICAL MASSES PLACED AT THE VERTICES OF A REGULAR POLYGON IN A FIXED PARALLEL AND ROTATING UNIFORMLY WITH RESPECT TO THE -AXIS) AND A -TH PRIMARY OF MASS FIXED AT THE SOUTH POLE OF . SUCH A PARTICULAR CONFIGURATION WILL BE CALLED RING-POLE CONFIGURATION (RP). AN INFINITESIMAL MASS PARTICLE HAS AN EQUILIBRIUM POSITION AT THE NORTH POLE FOR ANY VALUE OF , ANY PARALLEL WHERE THE RING HAS BEEN FIXED (WE USE AS PARAMETER , WHERE IS THE POLAR ANGLE OF THE RING) AND ANY NUMBER OF MASSES FORMING THE RING. WE STUDY THE NON-LINEAR STABILITY OF THE NORTH POLE IN TERMS OF THE PARAMETERS AND SOME BIFURCATIONS NEAR THE NORTH POLE.
dc.formatapplication/pdf
dc.identifier.doi10.3934/dcdsb.2022231
dc.identifier.issn1553-524X
dc.identifier.issn1531-3492
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13103
dc.languagespa
dc.publisherDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
dc.relation.uri10.3934/dcdsb.2022231
dc.rightsPUBLICADA
dc.subjectresonance
dc.subjectnormal form
dc.subjectnonlinear stability
dc.subjectlogarithmic potential.
dc.subjectHodge decomposition theorem
dc.subjectHamiltonian-Hopf bifurcation
dc.subjectHamiltonian formulation
dc.titleSTABILITY AND BIFURCATION IN THE CIRCULAR RESTRICTED (N+2) -BODY PROBLEM IN THE SPHERE S2 WITH LOGARITHMIC POTENTIAL
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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