Hostname: page-component-7b9c58cd5d-9k27k Total loading time: 0 Render date: 2025-03-14T21:40:15.171Z Has data issue: false hasContentIssue false
  • English
  • Français

A new 3D potential-density basis set

Published online by Cambridge University Press:  01 July 2007

Alireza Rahmati  and
Mir Abbas Jalali
Alireza Rahmati
Affiliation:
Physics Department, Sharif University of Technology, Tehran, Iran email: alistar@sharif.edu
Mir Abbas Jalali
Affiliation:
Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran email: mjalali@sharif.edu
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A set of bi-orthogonal potential-density basis functions is introduced to model the density and its associated gravitational field of three dimensional stellar systems. Radial components of our basis functions are weighted integral forms of spherical Bessel functions. We discuss on the properties of our basis functions and demonstrate their shapes for the latitudinal Fourier number l = 2.

Keywords

galaxies: kinematics and dynamicscelestial mechanicsmethods: numerical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 3 , Symposium S245: Formation and Evolution of Galaxy Bulges , July 2007 , pp. 37 - 38
Copyright
Copyright © International Astronomical Union 2008

References

Arfken, G. 1985, Mathematical Methods for Physicists, 3rd ed.(Academic Press)Google Scholar
Clutton-Brock, M. 1972, Ap&SS 16, 101Google Scholar
Clutton-Brock, M. 1973, Ap&SS 23, 55Google Scholar
Jalali, M. A. & Hunter, C. 2007, to be submittedGoogle Scholar
Hernquist, L. & Ostriker, J. P. 1992, ApJ 386, 375Google Scholar
Weinberg, M. D. 1999, AJ 117, 629Google Scholar