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STABILITY, PERIODIC SOLUTION AND KAM TORI IN THE CIRCULAR RESTRICTED (N + 1)-BODY PROBLEM ON S3 AND H3

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dc.creatorJAIME EDUARDO ANDRADE BUSTOS
dc.date2023
dc.date.accessioned2025-01-10T15:40:56Z
dc.date.available2025-01-10T15:40:56Z
dc.date.issued2023
dc.description.abstractIN THIS ARTICLE, WE DEFINE A CIRCULAR RESTRICTED (N +1)-BODY PROBLEM ON THE SURFACES M3?,WITH ? = ±1. THE MOTION OF THE PRIMARIES CORRESPONDS TO AN ELLIPTIC RELATIVE EQUILIBRIA STUDIED IN DIACU (RELATIVE EQUILIBRIA OF THE CURVED N-BODY PROBLEM. ATLANTIS STUDIES IN DYNAMICAL SYSTEMS, ATLANTIS PRESS, PARIS, 2012), WHERE N IDENTICAL MASS PARTICLES ARE ROTATING UNIFORMLY AT THE VERTICES OF A REGULAR POLYGON PLACED AT A FIXED PARALLEL OF A MAXIMAL SPHERE. BY INTRODUCING ROTATING COORDINATES, THIS PROBLEM GIVES RISE TO A 3 D.O.F. HAMILTONIAN SYSTEM. THIS PROBLEM HAS AN EQUILIBRIUM POINT PLACED AT THE POLES OF S3 AND THE VERTEX OF H3, FOR ANY VALUE OF THE PARAMETERS. WE GIVE INFORMATION ABOUT THE LINEAR AND NONLINEAR STABILITY OF THESE EQUILIBRIA. FINALLY, WE CARRY OUT A STUDY ABOUT THE EXISTENCE OF PERIODIC SOLUTIONS AND KAM TORI.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s00332-023-09946-6
dc.identifier.issn1432-1467
dc.identifier.issn0938-8974
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/13164
dc.languagespa
dc.publisherJOURNAL OF NONLINEAR SCIENCE
dc.relation.uri10.1007/s00332-023-09946-6
dc.rightsPUBLICADA
dc.subjectSurfaces of constant curvature
dc.subjectReduced Hamiltonian
dc.subjectPeriodic solutions
dc.subjectNonlinear stability
dc.subjectKAM tori
dc.subjectHamiltonian formulation
dc.titleSTABILITY, PERIODIC SOLUTION AND KAM TORI IN THE CIRCULAR RESTRICTED (N + 1)-BODY PROBLEM ON S3 AND H3
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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