A new method to find the potential center of N-body systems
- Autores
- Aguilar, L. A.; Cruz, F.; Carpintero, Daniel Diego
- Año de publicación
- 2002
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We present a new and fast method to nd the potential center of an N-body distribution. The method uses an iterative algorithm which exploits the fact that the gradient of the potential is null at its center: it uses a smoothing radius to avoid getting trapped in secondary minima. We have tested this method on several random realizations of King models (in which the numerical computation of this center is rather dicult, due to the constant density within their cores), and com- pared its performance and accuracy against a more straightforward, but computer intensive method, based on cartesian meshes of increasing spatial resolution. In all cases, both methods converged to the same center, within the mesh resolution, but the new method is two orders of magnitude faster. We have also tested the method with one astronomical problem: the evolu- tion of a 105 particle King model orbiting around a xed potential that represents our Galaxy. We used a spherical harmonics expansion N-body code, in which the potential center determination is crucial for the correct force computation. We compared this simulation with another one in which a method previously used to determine the expansion center is employed (White 1983). Our routine gives better results in energy conservation and mass loss.
Fil: Aguilar, L. A.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; México
Fil: Cruz, F.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; México
Fil: Carpintero, Daniel Diego. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina - Materia
-
Globular clusters
Numerical methods
N Body simulations - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/36956
Ver los metadatos del registro completo
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A new method to find the potential center of N-body systemsAguilar, L. A.Cruz, F.Carpintero, Daniel DiegoGlobular clustersNumerical methodsN Body simulationsWe present a new and fast method to nd the potential center of an N-body distribution. The method uses an iterative algorithm which exploits the fact that the gradient of the potential is null at its center: it uses a smoothing radius to avoid getting trapped in secondary minima. We have tested this method on several random realizations of King models (in which the numerical computation of this center is rather dicult, due to the constant density within their cores), and com- pared its performance and accuracy against a more straightforward, but computer intensive method, based on cartesian meshes of increasing spatial resolution. In all cases, both methods converged to the same center, within the mesh resolution, but the new method is two orders of magnitude faster. We have also tested the method with one astronomical problem: the evolu- tion of a 105 particle King model orbiting around a xed potential that represents our Galaxy. We used a spherical harmonics expansion N-body code, in which the potential center determination is crucial for the correct force computation. We compared this simulation with another one in which a method previously used to determine the expansion center is employed (White 1983). Our routine gives better results in energy conservation and mass loss.Fil: Aguilar, L. A.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; MéxicoFil: Cruz, F.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; MéxicoFil: Carpintero, Daniel Diego. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; ArgentinaUniversidad Nacional Autónoma de México. Instituto de Astronomía2002-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/36956Aguilar, L. A.; Cruz, F.; Carpintero, Daniel Diego; A new method to find the potential center of N-body systems; Universidad Nacional Autónoma de México. Instituto de Astronomía; Revista Mexicana de Astronomía y Astrofísica; 38; 9-2002; 225-2310185-1101CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://adsabs.harvard.edu/abs/2002RMxAA..38..225Cinfo:eu-repo/semantics/altIdentifier/url/http://www.astrosmo.unam.mx/rmaa/RMxAA..38-2/PDF/RMxAA..38-2_cruz.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:23:19Zoai:ri.conicet.gov.ar:11336/36956instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-15 14:23:19.722CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A new method to find the potential center of N-body systems |
title |
A new method to find the potential center of N-body systems |
spellingShingle |
A new method to find the potential center of N-body systems Aguilar, L. A. Globular clusters Numerical methods N Body simulations |
title_short |
A new method to find the potential center of N-body systems |
title_full |
A new method to find the potential center of N-body systems |
title_fullStr |
A new method to find the potential center of N-body systems |
title_full_unstemmed |
A new method to find the potential center of N-body systems |
title_sort |
A new method to find the potential center of N-body systems |
dc.creator.none.fl_str_mv |
Aguilar, L. A. Cruz, F. Carpintero, Daniel Diego |
author |
Aguilar, L. A. |
author_facet |
Aguilar, L. A. Cruz, F. Carpintero, Daniel Diego |
author_role |
author |
author2 |
Cruz, F. Carpintero, Daniel Diego |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Globular clusters Numerical methods N Body simulations |
topic |
Globular clusters Numerical methods N Body simulations |
dc.description.none.fl_txt_mv |
We present a new and fast method to nd the potential center of an N-body distribution. The method uses an iterative algorithm which exploits the fact that the gradient of the potential is null at its center: it uses a smoothing radius to avoid getting trapped in secondary minima. We have tested this method on several random realizations of King models (in which the numerical computation of this center is rather dicult, due to the constant density within their cores), and com- pared its performance and accuracy against a more straightforward, but computer intensive method, based on cartesian meshes of increasing spatial resolution. In all cases, both methods converged to the same center, within the mesh resolution, but the new method is two orders of magnitude faster. We have also tested the method with one astronomical problem: the evolu- tion of a 105 particle King model orbiting around a xed potential that represents our Galaxy. We used a spherical harmonics expansion N-body code, in which the potential center determination is crucial for the correct force computation. We compared this simulation with another one in which a method previously used to determine the expansion center is employed (White 1983). Our routine gives better results in energy conservation and mass loss. Fil: Aguilar, L. A.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; México Fil: Cruz, F.. Universidad Nacional Autonoma de Mexico. Instituto de Astronomia; México Fil: Carpintero, Daniel Diego. Universidad Nacional de la Plata. Facultad de Ciencias Astronómicas y Geofísicas; Argentina |
description |
We present a new and fast method to nd the potential center of an N-body distribution. The method uses an iterative algorithm which exploits the fact that the gradient of the potential is null at its center: it uses a smoothing radius to avoid getting trapped in secondary minima. We have tested this method on several random realizations of King models (in which the numerical computation of this center is rather dicult, due to the constant density within their cores), and com- pared its performance and accuracy against a more straightforward, but computer intensive method, based on cartesian meshes of increasing spatial resolution. In all cases, both methods converged to the same center, within the mesh resolution, but the new method is two orders of magnitude faster. We have also tested the method with one astronomical problem: the evolu- tion of a 105 particle King model orbiting around a xed potential that represents our Galaxy. We used a spherical harmonics expansion N-body code, in which the potential center determination is crucial for the correct force computation. We compared this simulation with another one in which a method previously used to determine the expansion center is employed (White 1983). Our routine gives better results in energy conservation and mass loss. |
publishDate |
2002 |
dc.date.none.fl_str_mv |
2002-09 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion 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://hdl.handle.net/11336/36956 Aguilar, L. A.; Cruz, F.; Carpintero, Daniel Diego; A new method to find the potential center of N-body systems; Universidad Nacional Autónoma de México. Instituto de Astronomía; Revista Mexicana de Astronomía y Astrofísica; 38; 9-2002; 225-231 0185-1101 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/36956 |
identifier_str_mv |
Aguilar, L. A.; Cruz, F.; Carpintero, Daniel Diego; A new method to find the potential center of N-body systems; Universidad Nacional Autónoma de México. Instituto de Astronomía; Revista Mexicana de Astronomía y Astrofísica; 38; 9-2002; 225-231 0185-1101 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://adsabs.harvard.edu/abs/2002RMxAA..38..225C info:eu-repo/semantics/altIdentifier/url/http://www.astrosmo.unam.mx/rmaa/RMxAA..38-2/PDF/RMxAA..38-2_cruz.pdf |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Universidad Nacional Autónoma de México. Instituto de Astronomía |
publisher.none.fl_str_mv |
Universidad Nacional Autónoma de México. Instituto de Astronomía |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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