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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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with<strong>in</strong> 100 pc of the nucleus:<br />

�<br />

N−1 � �<br />

�<br />

�<br />

�<br />

i=2<br />

ɛ100 =<br />

� vi−1<br />

dvi−1<br />

+ vi+1<br />

� �<br />

1<br />

/ +<br />

dvi+1 dvi−1<br />

1<br />

�<br />

dvi+1<br />

N−1<br />

�<br />

i=2<br />

1<br />

dvi<br />

These parameters are def<strong>in</strong>ed over the region such that<br />

�<br />

�<br />

�<br />

− vi�<br />

�<br />

· 1<br />

dvi<br />

237<br />

. (5.3)<br />

|xi| ≤ 100pc, (5.4)<br />

−100pc ≤ xj < 0pc, <strong>and</strong> (5.5)<br />

0pc < xk ≤ 100pc. (5.6)<br />

vj are the gas velocities <strong>and</strong> σj are the gas velocity dispersions measured <strong>in</strong> each<br />

spectrum j; dvj <strong>and</strong> dσj are their respective formal errors. All of the parameters<br />

were measured along the central slit position only (<strong>and</strong> <strong>in</strong> the negative offset slit only<br />

for NGC 4261, which appears to be closer to the nucleus of that galaxy). We give<br />

the values of these parameters for each galaxy <strong>in</strong> Table 5.1. We do not <strong>in</strong>clude the<br />

galaxies NGC 741 or NGC 5490 <strong>in</strong> the discussions <strong>in</strong> this chapter as both of these<br />

galaxies have very low signal to noise out to 100 pc so provide very unreliable data.<br />

In the follow<strong>in</strong>g discussions where we describe ‘no-correlation’ we have tested that<br />

the probability of a l<strong>in</strong>ear correlation P ≪ .0001 from a χ 2 test of the best fitt<strong>in</strong>g<br />

straight l<strong>in</strong>e.

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