Potential-Density Basis Sets for Galactic Disks
arXiv:astro-ph/9601101 · doi:10.1086/177404
Abstract
A class of complete potential-density basis sets in cylindrical (R,phi,z) coordinates is presented. This class is suitable for stability studies of galactic disks in three dimensions and includes basis sets tailored for disks with vertical density profiles that are exponential (exp(-|z|/\zn)), Gaussian (exp(-(z/\zn)^2) or locally isothermal (sech^2(z/\zn)). The basis sets are non-discrete and non-biorthogonal; however, the extra numerical computations required (compared with discrete biorthogonal sets) are explained and constitute a small overhead. The method of construction (and proof of completeness) is simple and can be used to construct basis sets for other density distributions that are best described in circular or elliptic cylindrical coordinates. When combined with a basis set designed for spheroidal systems, the basis sets presented here can be used to study the stability of realistic disks embedded in massive halos.
Accepted for publication in The Astrophysical Journal, 13 pages, plain TeX, uses mtexsis.tex, no figures
Cited by in corpus (14)
- Bar-Induced Evolution of Dark Matter Cusps
- The Bar-Halo Interaction - II. Secular evolution and the religion of N-body simulations
- An adaptive algorithm for n-body field expansions
- Dark Matter Trapping by Stellar Bars: The Shadow Bar
- Applying Schwarzschild's orbit superposition method to barred or non-barred disc galaxies
- EXP: N-body integration using basis function expansions
- Expansion Techniques for Collisionless Stellar Dynamical Simulations
- Special Features of Galactic Dynamics
- Hydrodynamic simulations of the central molecular zone with realistic Galactic potential
- Using Multichannel Singular Spectrum Analysis to Study Galaxy Dynamics
- Basis function expansions for galactic dynamics: Spherical versus cylindrical coordinates
- Generation of potential/surface density pairs in flat disks Power law distributions
- A general basis set algorithm for galactic haloes and discs
- Basis sets and Coulomb resolutions in rotational coordinates