Orbit classification in arbitrary 2D and 3D potentials

Autores
Carpintero, Daniel Diego; Aguilar, Luis A.
Año de publicación
1998
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A method of classifying generic orbits in arbitrary 2D and 3D potentials is presented. It is based on the concept of spectral dynamics introduced by Binney &38; Spergel that uses the Fourier transform of the time series of each coordinate. The method is tested using a number of potentials previously studied in the literature and is shown to distinguish correctly between regular and irregular orbits, to identify the various families of regular orbits (boxes, loops, tubes, boxlets, etc.), and to recognize the second-rank resonances that bifurcate from them. The method returns the position of the potential centre and, for 2D potentials, the orientation of the principal axes as well, should this be unknown. A further advantage of the method is that it has been encoded in a FORTRAN program that does not require user intervention, except for ‘fine tuning’ of search parameters that define the numerical limits of the code. The automatic character makes the program suitable for classifying large numbers of orbits.
Facultad de Ciencias Astronómicas y Geofísicas
Materia
Astronomía
celestial mechanics, stellar dynamics
galaxies: kinematics and dynamics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/140891

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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Orbit classification in arbitrary 2D and 3D potentialsCarpintero, Daniel DiegoAguilar, Luis A.Astronomíacelestial mechanics, stellar dynamicsgalaxies: kinematics and dynamicsA method of classifying generic orbits in arbitrary 2D and 3D potentials is presented. It is based on the concept of spectral dynamics introduced by Binney &38; Spergel that uses the Fourier transform of the time series of each coordinate. The method is tested using a number of potentials previously studied in the literature and is shown to distinguish correctly between regular and irregular orbits, to identify the various families of regular orbits (boxes, loops, tubes, boxlets, etc.), and to recognize the second-rank resonances that bifurcate from them. The method returns the position of the potential centre and, for 2D potentials, the orientation of the principal axes as well, should this be unknown. A further advantage of the method is that it has been encoded in a FORTRAN program that does not require user intervention, except for ‘fine tuning’ of search parameters that define the numerical limits of the code. The automatic character makes the program suitable for classifying large numbers of orbits.Facultad de Ciencias Astronómicas y Geofísicas1998-07-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1-21http://sedici.unlp.edu.ar/handle/10915/140891enginfo:eu-repo/semantics/altIdentifier/issn/0035-8711info:eu-repo/semantics/altIdentifier/issn/1365-2966info:eu-repo/semantics/altIdentifier/doi/10.1046/j.1365-8711.1998.01320.xinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:31Zoai:sedici.unlp.edu.ar:10915/140891Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:32.063SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Orbit classification in arbitrary 2D and 3D potentials
title Orbit classification in arbitrary 2D and 3D potentials
spellingShingle Orbit classification in arbitrary 2D and 3D potentials
Carpintero, Daniel Diego
Astronomía
celestial mechanics, stellar dynamics
galaxies: kinematics and dynamics
title_short Orbit classification in arbitrary 2D and 3D potentials
title_full Orbit classification in arbitrary 2D and 3D potentials
title_fullStr Orbit classification in arbitrary 2D and 3D potentials
title_full_unstemmed Orbit classification in arbitrary 2D and 3D potentials
title_sort Orbit classification in arbitrary 2D and 3D potentials
dc.creator.none.fl_str_mv Carpintero, Daniel Diego
Aguilar, Luis A.
author Carpintero, Daniel Diego
author_facet Carpintero, Daniel Diego
Aguilar, Luis A.
author_role author
author2 Aguilar, Luis A.
author2_role author
dc.subject.none.fl_str_mv Astronomía
celestial mechanics, stellar dynamics
galaxies: kinematics and dynamics
topic Astronomía
celestial mechanics, stellar dynamics
galaxies: kinematics and dynamics
dc.description.none.fl_txt_mv A method of classifying generic orbits in arbitrary 2D and 3D potentials is presented. It is based on the concept of spectral dynamics introduced by Binney &38; Spergel that uses the Fourier transform of the time series of each coordinate. The method is tested using a number of potentials previously studied in the literature and is shown to distinguish correctly between regular and irregular orbits, to identify the various families of regular orbits (boxes, loops, tubes, boxlets, etc.), and to recognize the second-rank resonances that bifurcate from them. The method returns the position of the potential centre and, for 2D potentials, the orientation of the principal axes as well, should this be unknown. A further advantage of the method is that it has been encoded in a FORTRAN program that does not require user intervention, except for ‘fine tuning’ of search parameters that define the numerical limits of the code. The automatic character makes the program suitable for classifying large numbers of orbits.
Facultad de Ciencias Astronómicas y Geofísicas
description A method of classifying generic orbits in arbitrary 2D and 3D potentials is presented. It is based on the concept of spectral dynamics introduced by Binney &38; Spergel that uses the Fourier transform of the time series of each coordinate. The method is tested using a number of potentials previously studied in the literature and is shown to distinguish correctly between regular and irregular orbits, to identify the various families of regular orbits (boxes, loops, tubes, boxlets, etc.), and to recognize the second-rank resonances that bifurcate from them. The method returns the position of the potential centre and, for 2D potentials, the orientation of the principal axes as well, should this be unknown. A further advantage of the method is that it has been encoded in a FORTRAN program that does not require user intervention, except for ‘fine tuning’ of search parameters that define the numerical limits of the code. The automatic character makes the program suitable for classifying large numbers of orbits.
publishDate 1998
dc.date.none.fl_str_mv 1998-07-21
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/140891
url http://sedici.unlp.edu.ar/handle/10915/140891
dc.language.none.fl_str_mv eng
language eng
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info:eu-repo/semantics/altIdentifier/issn/1365-2966
info:eu-repo/semantics/altIdentifier/doi/10.1046/j.1365-8711.1998.01320.x
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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