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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>and</strong> search for correlations with other properties of the central eng<strong>in</strong>e that might<br />

<strong>in</strong>dicate a connection between M• (the black hole mass) <strong>and</strong>/or ˙ M, the accretion<br />

rate (or at least the central eng<strong>in</strong>e fuel<strong>in</strong>g rate) <strong>in</strong> the nucleus. We also extend<br />

the earlier work of Verdoes Kleijn et al. (2002a), correlat<strong>in</strong>g fluxes <strong>in</strong> the nucleus of<br />

each galaxy, out to the X-ray regime. F<strong>in</strong>ally we will discuss connections between<br />

k<strong>in</strong>ematic parameters <strong>and</strong> the properties of the central eng<strong>in</strong>es.<br />

5.2 Global k<strong>in</strong>ematic parameterizations<br />

In order to more reliably parameterize the k<strong>in</strong>ematics <strong>in</strong> the nucleus of each galaxy,<br />

we now def<strong>in</strong>e three weighted-mean parameters: (i) the difference <strong>in</strong> the weighted<br />

mean gas velocity with<strong>in</strong> 100 pc on each side of the nucleus:<br />

�⎛<br />

�<br />

�<br />

∆100 = �⎝<br />

�<br />

�<br />

� vj<br />

j<br />

236<br />

/<br />

dvj<br />

�<br />

⎞ �<br />

1 � vk ⎠ − /<br />

dvj dvk<br />

�<br />

�<br />

1<br />

dvk<br />

� �<br />

����<br />

; (5.1)<br />

j<br />

(ii) the mean velocity dispersion of the gas with<strong>in</strong> 100 pc of the nucleus:<br />

σ100 = �<br />

i<br />

σi<br />

dσi<br />

� �<br />

i<br />

k<br />

1<br />

dσi<br />

k<br />

� −1<br />

; (5.2)<br />

<strong>and</strong> (iii) an estimator of the po<strong>in</strong>t-to-po<strong>in</strong>t variations <strong>in</strong> the gas velocity profile

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