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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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models <strong>in</strong>tegrat<strong>in</strong>g us<strong>in</strong>g 150 by 150 Gauss-Legendre quadrature (GL) po<strong>in</strong>ts (see<br />

Press et al., 1992), we found that <strong>in</strong>creas<strong>in</strong>g the number of grid po<strong>in</strong>ts beyond this<br />

limit had no effect on the result - <strong>in</strong>dicat<strong>in</strong>g to us that it is numerically stable. Aga<strong>in</strong>,<br />

150 by 150 GL po<strong>in</strong>ts were used to compute the velocity profiles, <strong>and</strong> found this to<br />

be numerically stable also (even with lower values <strong>in</strong> this case).<br />

We tested the effect of chang<strong>in</strong>g the STIS PSF by repeat<strong>in</strong>g the models us<strong>in</strong>g a<br />

s<strong>in</strong>gle Gaussian (γ1 = 1.00, σ1 = 0.0327) to represent the PSF <strong>in</strong>stead of the sum<br />

of five Gaussians. In Figure 4.19 we over-plot the results for the M• = 1 × 10 8 M⊙<br />

model for NGC 193 with each PSF, to illustrate that the differences are <strong>in</strong>significant<br />

compared to the r<strong>and</strong>om variations <strong>in</strong> the observed velocity profile. This is the case<br />

for all galaxies other than M84 <strong>and</strong> M87 which are much closer to us <strong>and</strong> so the PSF<br />

becomes an important factor <strong>in</strong> these models.<br />

Maciejewski & B<strong>in</strong>ney (2001) expla<strong>in</strong> many important difficulties that may be<br />

encountered when model<strong>in</strong>g spectra of galaxies obta<strong>in</strong>ed through a ‘wide’ slit. In<br />

this context wide may be judged by the steepness of the central velocity profile <strong>and</strong><br />

the size of the <strong>in</strong>strumental PSF. They found that the struggle between real velocity<br />

differences with<strong>in</strong> an object <strong>and</strong> offsets <strong>in</strong> velocity that arise because light is enter<strong>in</strong>g<br />

the slit from different positions <strong>and</strong> at different angles can cause the <strong>in</strong>tensity of<br />

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