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THE RESTRICTED THREE BODY PROBLEM ON SURFACES OF CONSTANT CURVATURE

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dc.creatorJAIME EDUARDO ANDRADE BUSTOS
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2018
dc.date.accessioned2025-01-10T14:59:15Z
dc.date.available2025-01-10T14:59:15Z
dc.date.issued2018
dc.description.abstractWE CONSIDER A SYMMETRIC RESTRICTED THREE-BODY PROBLEM ON SURFACES OF CONSTANT GAUSSIAN CURVATURE , WHICH CAN BE REDUCED TO THE CASES . THIS PROBLEM CONSISTS IN THE ANALYSIS OF THE DYNAMICS OF AN INFINITESIMAL MASS PARTICLE ATTRACTED BY TWO PRIMARIES OF IDENTICAL MASSES DESCRIBING ELLIPTIC RELATIVE EQUILIBRIA OF THE TWO BODY PROBLEM ON , I.E., THE PRIMARIES MOVE ON OPPOSITE SIDES OF THE SAME PARALLEL OF RADIUS A. THE HAMILTONIAN FORMULATION OF THIS PROBLEM IS POINTED OUT IN INTRINSIC COORDINATES. THE GOAL OF THIS PAPER IS TO DESCRIBE ANALYTICALLY, IMPORTANT ASPECTS OF THE GLOBAL DYNAMICS IN BOTH CASES AND DETERMINE THE MAIN DIFFERENCES WITH THE CLASSICAL NEWTONIAN CIRCULAR RESTRICTED THREE-BODY PROBLEM. IN THIS SENSE, WE DESCRIBE THE NUMBER OF EQUILIBRIA AND ITS LINEAR STABILITY DEPENDING ON ITS BIFURCATION PARAMETER CORRESPONDING TO THE RADIAL PARAMETER A. AFTER THAT, WE PROVE THE EXISTENCE OF FAMILIES OF PERIODIC ORBITS AND KAM 2-TORI RELATED TO THESE ORBITS.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.jde.2018.06.007
dc.identifier.issn1090-2732
dc.identifier.issn0022-0396
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/9877
dc.languagespa
dc.publisherJOURNAL OF DIFFERENTIAL EQUATIONS
dc.relation.uri10.1016/j.jde.2018.06.007
dc.rightsPUBLICADA
dc.titleTHE RESTRICTED THREE BODY PROBLEM ON SURFACES OF CONSTANT CURVATURE
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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