Publicación:
REGULARIZATION OF THE CIRCULAR 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.accessioned2025-01-10T14:59:13Z
dc.date.available2025-01-10T14:59:13Z
dc.date.issued2018
dc.description.abstractWE CONSIDER A RESTRICTED THREE BODY PROBLEM ON SURFACES OF CONSTANT CURVATURE. AS IN THE CLASSICAL NEWTONIAN CASE THE COLLISION SINGULARITIES OCCUR WHEN THE POSITION PARTICLE WITH INFINITESIMAL MASS COINCIDES WITH THE POSITION OF ONE OF THE PRIMARIES. WE PROVE THAT THE SINGULARITIES DUE TO COLLISION CAN BE LOCALLY (EACH ONE SEPARATELY) AND GLOBALLY (BOTH AS THE SAME TIME) REGULARIZED THROUGH THE CONSTRUCTION OF LEVI-CIVITA AND BIRKHOFF TYPE TRANSFORMATIONS RESPECTIVELY. AS AN APPLICATION WE STUDY SOME GENERAL PROPERTIES OF THE HILL?S REGIONS AND WE PRESENT SOME EJECTION?COLLISION ORBITS FOR THE SYMMETRICAL PROBLEM.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10884-017-9619-x
dc.identifier.issn1572-9222
dc.identifier.issn1040-7294
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/9875
dc.languagespa
dc.publisherJournal of Dynamics and Differential Equations
dc.relation.uri10.1007/s10884-017-9619-x
dc.rightsPUBLICADA
dc.titleREGULARIZATION OF THE CIRCULAR 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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