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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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<strong>in</strong>tensity contours are aligned concentric ellipses with an axial ratio<br />

153<br />

q ′ ≡ cos 2 i + q 2 s<strong>in</strong> 2 i. (4.5)<br />

Values of q ′ , measured from the ellipticity of the isophotes <strong>in</strong> the WFPC2 images,<br />

are also listed <strong>in</strong> Table 4.1. Though the values of q ′ , <strong>and</strong> of the position angle of the<br />

major axis of the isophotes varies over the region <strong>in</strong> which we are <strong>in</strong>terested (Verdoes<br />

Kleijn et al., 1999), we do not expect this to have a significant impact on the results<br />

we derive (see Verdoes Kleijn et al., 2002b, <strong>and</strong> Section 4.2.6 below).<br />

We determ<strong>in</strong>ed the mean stellar flux profiles <strong>in</strong> the direction along the semi-<br />

m<strong>in</strong>or axis with least dust obscuration, <strong>in</strong> the reddest image observed by WFPC2<br />

(to m<strong>in</strong>imize the effects of both dust <strong>and</strong> emission l<strong>in</strong>es) for each galaxy. We then<br />

iteratively fit the model parameters to obta<strong>in</strong> the best fitt<strong>in</strong>g values for the parameters<br />

α, β, a <strong>and</strong> j0, these are shown <strong>in</strong> Table 4.3.<br />

We assume that the stellar mass density ρ(R, z) follows the lum<strong>in</strong>osity density<br />

distribution j(R, z) through a constant mass to light ratio (Υ) towards the center of<br />

the galaxy. No conclusive data exist about how Υ may change towards the center,<br />

though we observe changes <strong>in</strong> (V −I) (Verdoes Kleijn et al., 1999), much of this may<br />

be attributed to dust rather than to changes <strong>in</strong> the stellar population. The fit is not<br />

<strong>in</strong>credibly sensitive to this parameter until some distance from the nucleus where the

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