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Global stability and the mass-to-light ratio of galactic disks

D. Syer, Shude Mao, H. J. Mo

astro-pharXiv:astro-ph/9711160

Abstract

We examine the global stability of an exponential stellar disk embedded in a dark matter halo and constrain the mass-to-light ratio of observed disks in the I-band, YI. Assuming only that the radial surface density distribution of disks is exponential, we derive an analytic upper limit: YI <~ 2.4h, for a Hubble constant of 100h~-1. Using N-body simulations we derive a stability criterion significantly different from that of previous authors. Using this criterion we argue that, almost independent of the concentration of the halo, YI <~ 1.9h. We discuss this result in relation to other independent determinations of YI, its limitations and its implications for theories of disk formation and barred galaxies.

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