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REDUCED 4D OSCILLATORS AND ORBITAL ELEMENTS IN KEPLERIAN SYSTEMS: CUSHMAN-DEPRIT COORDINATES

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dc.creatorFRANCISCO CRESPO CUTILLAS
dc.date2020
dc.date.accessioned2025-01-10T15:15:23Z
dc.date.available2025-01-10T15:15:23Z
dc.date.issued2020
dc.description.abstractWE STUDY THE REDUCTION AND REGULARIZATION PROCESSES OF PERTURBED KEPLERIAN SYSTEMS FROM AN ASTRONOMICAL POINT OF VIEW. OUR APPROACH CONNECTS AXIALLY SYMMETRIC PERTURBED 4-DOF OSCILLATORS WITH KEPLERIAN SYSTEMS, INCLUDING THE CASE OF RECTILINEAR SOLUTIONS. THIS IS DONE THROUGH A PRELIMINARY REDUCTION RECENTLY STUDIED BY THE AUTHORS. THEN, THE REDUCTION PROGRAM CONTINUES BY REMOVING THE KEPLERIAN ENERGY. FOR EACH VALUE OF THE SEMI-MAJOR AXIS, WE EXPLAIN THE ASTRONOMICAL MEANING OF THE SEXTUPLES DEFINING THE ORBIT SPACE S2×S2 AND ITS CONNECTION WITH THE ORBITAL ELEMENTS. MORE PRECISELY, WE PRESENT ALTERNATIVE SEXTUPLE COORDINATES FOR THE SET OF BOUNDED KEPLERIAN ORBITS THAT ?SEPARATE? THE NODE OF THE ORBITAL PLANE FROM THE ARGUMENT OF PERIGEE GIVING THE LAPLACE VECTOR IN THAT PLANE. STILL, THE REDUCTION OF THE AXIAL SYMMETRY DEFINED BY THE THIRD COMPONENT OF THE ANGULAR MOMENTUM IS PERFORMED. FOR THE THRICE REDUCED SPACE ?0,L,H WE PROPOSE THE CUSHMAN?DEPRIT COORDINATES, A VARIANT TO THE SET GIVEN BY CUSHMAN. THE MAIN FEATURE OF THESE VARIABLES IS THAT THEY ARE ALL WITH THE SAME DIMENSIONS, WHICH IS CONVENIENT FOR THE NORMALIZATION PROCEDURE. AS AN APPLICATION OF THE PROPOSED SCHEME, WE STUDY THE SPATIAL LUNAR PROBLEM.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s10569-020-09995-z
dc.identifier.issn1572-9478
dc.identifier.issn0923-2958
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11152
dc.languagespa
dc.publisherCELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
dc.relation.uri10.1007/s10569-020-09995-z
dc.rightsPUBLICADA
dc.titleREDUCED 4D OSCILLATORS AND ORBITAL ELEMENTS IN KEPLERIAN SYSTEMS: CUSHMAN-DEPRIT COORDINATES
dc.title.alternativeOSCILADORES 4D REDUCIDOS Y ELEMENTOS ORBITALES EN SISTEMAS KEPLERIANOS: COORDENADAS CUSHMAN-DEPRIT
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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