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Gas Disks and Supermassive Black Holes in Nearby Radio Galaxies

Gas Disks and Supermassive Black Holes in Nearby Radio Galaxies

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4.2 Th<strong>in</strong> disk models with <strong>and</strong> without a black<br />

hole<br />

We have created model velocity profiles assum<strong>in</strong>g that the emission l<strong>in</strong>e gas that we<br />

observe orig<strong>in</strong>ates from a th<strong>in</strong> rotat<strong>in</strong>g circular disk <strong>in</strong> each nucleus. This assumption<br />

matches our f<strong>in</strong>d<strong>in</strong>gs that the gas can be expla<strong>in</strong>ed by a rotat<strong>in</strong>g system as we showed<br />

<strong>in</strong> Chapter 3; however, the large velocity dispersions that we measure <strong>in</strong>dicate that<br />

the assumption that the disk is th<strong>in</strong> may not be very reliable. Yet for the purposes of<br />

model<strong>in</strong>g this assumption is necessary: to enable first steps to be made <strong>and</strong> to give<br />

us some h<strong>and</strong>le on explanations of the nuclear gas dynamics.<br />

We use model<strong>in</strong>g techniques very similar to those described by van der Marel &<br />

van den Bosch (1998) <strong>and</strong> Verdoes Kleijn et al. (2002b) to generate velocity profiles<br />

along the observed slits for gas sitt<strong>in</strong>g <strong>in</strong> the gravitational potential generated by the<br />

stellar population of the galaxy <strong>and</strong> <strong>in</strong>clud<strong>in</strong>g (i) no black hole, (ii) a 1 × 10 8 M⊙<br />

black hole <strong>and</strong> (iii) a 9×10 8 M⊙ black hole, <strong>and</strong> tak<strong>in</strong>g <strong>in</strong>to account the <strong>in</strong>strumental<br />

PSF. These values of black hole mass are <strong>in</strong> the range typically conjectured for the<br />

nuclei of galaxies of this size, <strong>and</strong> we would not expect to resolve black holes of less<br />

than ∼ 1 ×10 8 M⊙ at the distances of the majority of the galaxies <strong>in</strong> our sample. We<br />

assume that the galaxy is at a distance D = v/H0, where v is the mean recessional<br />

149

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