A new method to find the potential center of N-Body systems
Fuente:
Redalyc
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Artículo científico |
| Sprache: | en |
| Veröffentlicht: |
Universidad Nacional Autónoma de México
2002
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1876465843983876096 |
|---|---|
| author | L. A. Aguilar |
| author_facet | L. A. Aguilar |
| contents | A new method to find the potential center of N-Body systems L. A. Aguilar F. Cruz D. D. Carpintero Física, Astronomía y Matemáticas NUMERICAL METHODS: N BODY SIMULATIONS GLOBULAR CLUSTERS: GENERAL We present a new and fast method to find the potential center of an N-bodydistribution. The method uses an iterative algorithm which exploits the fact thatthe gradient of the potential is null at its center: it uses a smoothing radius toavoid getting trapped in secondary minima. We have tested this method on severalrandom realizations of King models (in which the numerical computation of thiscenter is rather difficult, due to the constant density within their cores), and com-pared its performance and accuracy against a more straightforward, but computerintensive method, based on cartesian meshes of increasing spatial resolution. In allcases, both methods converged to the same center, within the mesh resolution, butthe new method is two orders of magnitude faster.We have also tested the method with one astronomical problem: the evolution of a 105 particle King model orbiting around a fixed potential that representsour Galaxy. We used a spherical harmonics expansion N-body code, in which thepotential center determination is crucial for the correct force computation. Wecompared this simulation with another one in which a method previously used todetermine the expansion center is employed (White 1983). Our routine gives betterresults in energy conservation and mass loss. 2002 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57138207 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.38 |
| format | Artículo científico |
| id | redalyc_57138207 |
| institution | Redalyc |
| language | en |
| publishDate | 2002 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | A new method to find the potential center of N-Body systems L. A. Aguilar Física, Astronomía y Matemáticas NUMERICAL METHODS: N BODY SIMULATIONS GLOBULAR CLUSTERS: GENERAL A new method to find the potential center of N-Body systems L. A. Aguilar F. Cruz D. D. Carpintero Física, Astronomía y Matemáticas NUMERICAL METHODS: N BODY SIMULATIONS GLOBULAR CLUSTERS: GENERAL We present a new and fast method to find the potential center of an N-bodydistribution. The method uses an iterative algorithm which exploits the fact thatthe gradient of the potential is null at its center: it uses a smoothing radius toavoid getting trapped in secondary minima. We have tested this method on severalrandom realizations of King models (in which the numerical computation of thiscenter is rather difficult, due to the constant density within their cores), and com-pared its performance and accuracy against a more straightforward, but computerintensive method, based on cartesian meshes of increasing spatial resolution. In allcases, both methods converged to the same center, within the mesh resolution, butthe new method is two orders of magnitude faster.We have also tested the method with one astronomical problem: the evolution of a 105 particle King model orbiting around a fixed potential that representsour Galaxy. We used a spherical harmonics expansion N-body code, in which thepotential center determination is crucial for the correct force computation. Wecompared this simulation with another one in which a method previously used todetermine the expansion center is employed (White 1983). Our routine gives betterresults in energy conservation and mass loss. 2002 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57138207 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.38 |
| title | A new method to find the potential center of N-Body systems |
| topic | Física, Astronomía y Matemáticas NUMERICAL METHODS: N BODY SIMULATIONS GLOBULAR CLUSTERS: GENERAL |
| url | https://www.redalyc.org/articulo.oa?id=57138207 |