1996/03/18 by P. Vauterin, Vauterin, P., H. Dejonghe +1
Engineering · Physics and Astronomy · #Astrophysics (astro-ph) #Astrophysics and Star Formation Studies #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Solar and Space Plasma Dynamics #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9603094
12 pages LaTeX format, uses laa.tex (enclosed), 16 PostScript figures. tarred, gzipped, uuencoded. Postscript version available at ftp://naos.rug.ac.be/pub/LINMOD2.ps.Z Accepted for publication in A & A
arxiv created 1996/03/18 · openalex publication_date 1996/03/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a method for solving the two-dimensional linearized collisionless Boltzmann equation using Fourier expansion along the orbits. It resembles very much solutions present in the literature, but it differs by the fact that everything is performed in coordinate space instead of using action-angle variables. We show that this approach, though less elegant, is both feasible and straightforward. This approach is then incorporated in a matrix method in order to calculate self-consistent modes, using a set of potential-density pairs which is obtained numerically. We investigated the stability of some unperturbed disks having an almost flat rotation curve, an exponential disk and a non-zero velocity dispersion. The influence of the velocity dispersion, halo mass and anisotropy on the stability is further discussed.