On the stability of Kuzmin/Toomre disks

Statistics – Computation

Scientific paper

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Computational Astrophysics, Disk Galaxies, Galactic Rotation, Galactic Structure, Systems Stability, Density Distribution, Distribution Functions, Galactic Mass, Halos, Velocity Distribution

Scientific paper

A simple two-component system consiting of a Kuzmin/Toomre disk embedded in a spherically symmetrical 'halo' is studied with Plummer's density distribution. The bounds on the mass fraction of the disk component which result from applying the semiempirical criterion against bar instabilities due to Ostriker and Peebles are studied analytically and the results are compared with recent numerical simulations. It is found that the locus t = 0.14, calculated using analytic approximations for a variety of rotation laws, agrees reasonably well with the neutral stability line derived from numerical results.

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