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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/140891
Ver los metadatos del registro completo
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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 Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
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 |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0035-8711 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 1-21 |
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reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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