Softened potentials and the multipolar expansion

When the gravitational potential is developed in a multipolar series, each multipole is well defined and corresponds to a finite sum of terms in the series. In order to use the gravitational potential in numerical simulations, however, a multipolar expansion is usually applied to a softened Newtoni...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Wachlin, Felipe Carlos, Carpintero, Daniel Diego
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2006
Materias:	Ciencias Astronómicas Galaxy N-body simulations Numerical methods Kinematics (galaxias) Dynamics (galaxias)
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/93541 http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0185-11012006000200010 http://www.astroscu.unam.mx/rmaa/RMxAA..42-2/PDF/RMxAA..42-2_dcarpintero.pdf
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-93541
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Astronómicas Galaxy N-body simulations Numerical methods Kinematics (galaxias) Dynamics (galaxias)
spellingShingle	Ciencias Astronómicas Galaxy N-body simulations Numerical methods Kinematics (galaxias) Dynamics (galaxias) Wachlin, Felipe Carlos Carpintero, Daniel Diego Softened potentials and the multipolar expansion
topic_facet	Ciencias Astronómicas Galaxy N-body simulations Numerical methods Kinematics (galaxias) Dynamics (galaxias)
description	When the gravitational potential is developed in a multipolar series, each multipole is well defined and corresponds to a finite sum of terms in the series. In order to use the gravitational potential in numerical simulations, however, a multipolar expansion is usually applied to a softened Newtonian potential. It turns out that the commonly used multipolar expansion in this case no longer isolates each multipole as in the former case; instead, each multipole is spilled over an infinity of terms. In this paper we show how to recover the complete multipoles. Fortunately, the overall effect of using incomplete multipoles instead of complete ones turns out to be negligible in the cases of interest, for example, in its use in treecodes.
format	Articulo Articulo
author	Wachlin, Felipe Carlos Carpintero, Daniel Diego
author_facet	Wachlin, Felipe Carlos Carpintero, Daniel Diego
author_sort	Wachlin, Felipe Carlos
title	Softened potentials and the multipolar expansion
title_short	Softened potentials and the multipolar expansion
title_full	Softened potentials and the multipolar expansion
title_fullStr	Softened potentials and the multipolar expansion
title_full_unstemmed	Softened potentials and the multipolar expansion
title_sort	softened potentials and the multipolar expansion
publishDate	2006
url	http://sedici.unlp.edu.ar/handle/10915/93541 http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0185-11012006000200010 http://www.astroscu.unam.mx/rmaa/RMxAA..42-2/PDF/RMxAA..42-2_dcarpintero.pdf
work_keys_str_mv	AT wachlinfelipecarlos softenedpotentialsandthemultipolarexpansion AT carpinterodanieldiego softenedpotentialsandthemultipolarexpansion
bdutipo_str	Repositorios
_version_	1764820491287134209

Softened potentials and the multipolar expansion

Ejemplares similares