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(SO(3) X T-4)-REDUCTION AND RELATIVE EQUILIBRIA FOR A RADIAL AXISYMMETRIC INTERMEDIARY MODEL FOR ROTO-ORBITAL MOTION

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dc.creatorFRANCISCO CRESPO CUTILLAS
dc.date2020
dc.date.accessioned2025-01-10T15:10:31Z
dc.date.available2025-01-10T15:10:31Z
dc.date.issued2020
dc.description.abstractA GEOMETRICAL APPROACH TO A RADIAL INTERMEDIARY MODEL FOR AN AXISYMMETRIC RIGID BODY IN ROTO-ORBITAL MOTION IS PRESENTED. THE PRESENCE OF SYMMETRIES ENABLES A WELL-SUITED FORMULATION BY CHOOSING ACTION?ANGLE TYPE VARIABLES. SINGULARITIES ASSOCIATED WITH THE ANGLES ARE AVOIDED BY INTRODUCING EXTRA FICTITIOUS VARIABLES AND PERFORMING A SYMPLECTIC TRANSFORMATION LEADING TO A GLOBAL, QUATERNIONIC DOUBLE-CHART. THEN, MAKING USE OF THE AND SYMMETRY OF OUR MODEL, A FULL REDUCTION PROCESS BY STAGES IS CARRIED OUT, WHICH IN COMBINATION WITH THE CONSTRAINED DYNAMICS RELATED TO THE FICTITIOUS VARIABLES, LEADS TO A 1-DOF REDUCED-CONSTRAINED SYSTEM. OUR PROGRAM INCLUDES A PARAMETRIC ANALYSIS OF RELATIVE EQUILIBRIA AND A COMPLETE DESCRIPTION OF THE FIBERS IN THE RECONSTRUCTION OF THE REDUCED SYSTEM.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.geomphys.2020.103611
dc.identifier.issn1879-1662
dc.identifier.issn0393-0440
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10776
dc.languagespa
dc.publisherJOURNAL OF GEOMETRY AND PHYSICS
dc.relation.uri10.1016/j.geomphys.2020.103611
dc.rightsPUBLICADA
dc.title(SO(3) X T-4)-REDUCTION AND RELATIVE EQUILIBRIA FOR A RADIAL AXISYMMETRIC INTERMEDIARY MODEL FOR ROTO-ORBITAL MOTION
dc.title.alternative(SO(3)×T4)-REDUCCIÓN Y EQUILIBRIOS RELATIVOS PARA UN MODELO INTERMEDIO AXISIMÉTRICO RADIAL PARA EL MOVIMIENTO ROTOORBITAL
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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