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Up: Structure and kinematics of NGC 128


Subsections

3 Spectroscopic data  

3.1 Stellar kinematics

Details of the available spectra and of the data reduction are given in Appendix A. Here we discuss the rotation curves (RCs) of the star component extracted from the absorption features of the spectra. The radial velocity measurements of the spectra along the major axis were combined and folded about the center of the galaxy and shown in Fig. 5 (bottom panel), choosing the radial offset and the systemic velocity which minimize the dispersion of points in the folded curves ($0\hbox{$.\!\!^{\prime\prime}$}6$ along the South direction corresponding to $\sim$150 pc). Our heliocentric systemic velocity is $4180\pm50$ km s-1, lower by 30 km s-1 than in Dressler & Sandage (1983). The error takes into account the zero point uncertainty of the RC derived from the three standards stars used.

Note that the folded curves match very well in the inner $\sim$20'', while the curve along the North side suffer from the presence of the interaction with NGC 127. The South side has a short extension because the RC is extracted from the off-centered spectrum of the first night. The spectrum of the second night (much more noisy) does not extend far out Southwards.

The RC is very steep in the central region: at a distance of 5'' from the center along the major axis the rotation velocity is already 100 km s-1. In BC77 the RC grows more slowly in the range $20'' \div 40''$, while in our measurements the velocity increases outside 50'' up to a value of $\sim$350 km s-1 in the North direction.

In NGC 128 we do not see in the RC the characteristic "figure-of-eight'' feature, neither for the stellar or the gaseous component. Here the gas is counter-rotating and we have an X-shaped RC (see Sect. 3.2). According to Friedli & Udry (1993) and Emsellem & Arsenault (1997) the counter-rotating gas is tracing the anomaouls orbits existent in a tumbling triaxial potential.

  
\begin{figure}
\resizebox {\hsize}{!}{\includegraphics{ds7507f5.ps}}\end{figure} Figure 5: Upper panel: The folded velocity dispersion profiles along the major axis of NGC 128. Bottom panel: The folded RCs along the major axis. The South and North axes are indicated by open and filled circles respectively
  
\begin{figure}
\resizebox {\hsize}{!}{\includegraphics{ds7507f6.ps}}\end{figure} Figure 6: Upper panel: The folded minor axis velocity dispersion profiles of NGC 128. Bottom panel: The folded minor axis RCs. Open and filled circles indicate the East and West side respectively

The folded RC along the minor axis of the galaxy is shown in the bottom panel of Fig. 6. The curve along the minor axis is less extended since beyond $\sim$15'' the spectra reach the level of the sky surface brightness and the errors become larger. There is a hint of a non-zero velocity pattern along the minor axis suggested by the occurrence of a maximum and of a minimum velocity at symmetric places along the two sides opposite to the center. If this behaviour will be confirmed by future data, the presence of a small ring of stars (remnants of a polar ring?) can be suspected.

A number of off-centered spectra of NGC 128, along directions parallel and orthogonal to the main axes, have been obtained by B. Jarvis (private communication). We list the Jarvis' logbook in Table 2 and we plot the corresponding RCs in Fig. 7. The agreement with our data is quite good. The comparison of the measured velocities at a given distance r along the RC is shown in Table 3.


  
Table 2: B. Jarvis long-slit observations of NGC 128


\begin{tabular}
{@{}lllllr@{}}
\hline\hline\noalign{\smallskip}
Telescope & Inst...
 ....6 & $4'' ~~ \parallel$\space E \\ \hline\hline\noalign{\smallskip}\end{tabular}


Such spectra show that the cylindrical rotation is observed up to 20'' ($\sim$5.4 kpc). The major axis off-set RCs are also quite similar to our curve, differing for a smaller gradient only.


  
Table 3: Comparison of our velocities with the data extracted from the RC of B. Jarvis

\begin{tabular}
{l\vert ll}
\hline\hline\noalign{\smallskip}
$r$\space & $V_{\rm...
 ...120 \\ $15''$\space & 142 & 140 \\ \hline\hline\noalign{\smallskip}\end{tabular}

  
\begin{figure}
\resizebox {\hsize}{!}{\includegraphics{ds7507f7.ps}}\end{figure} Figure 7: Upper panel: The RCs of NGC 128 along cuts perpendicular to the major axis. Filled square mark the RC at r=10''. Open square at r=15''. Bottom panel: The RCs along cuts parallel to the major axis: filled circles (r=4''), open circles (r=8'')

The upper panel of Fig. 6 shows the folded minor axis velocity dispersion (VD) profile. The central value is around 220-240 km s-1. Note the increase of $\sim$100 km s-1 in the inner 3'' and the wave-shape which keeps the velocity dispersion to an high level out to the last measurable point.

The folded VD profile along the major axis is shown in Fig. 5 (upper panel). The shape is that characteristic of the early-type galaxies, with a bulge dominated region where the velocity dispersion decreases, and a disk dominated part, where the velocity remains appromimately constant. It is interesting to note the asymmetry in the VD profile at $\sim$40'' in correspondence of the arm of NGC 127.

3.2 Gas kinematics

 Here we discuss the RCs of the gas component detected in our spectra and the results of CIGALE observations (see Appendix A and Appendix B, for details of the data acquisition and reduction).

In Fig. 8 together with the unfolded RC obtained from the absorption lines, we plotted the behaviour of the gas component resulting from the emission lines. We took the peak of a Gaussian curve, fitted to the emission lines in each row of the spectra, as a measure of the rotational velocity of the gas. It appears a clear counter-rotating gas component which extends up to $\sim$8'' (2.2 kpc) around the nucleus. The gas seems to have the same gradient of the stellar component. In the first 4'' around the nucleus the rotation velocity increases up to $\sim 
100\div120$ km s-1. This behaviour is in agreement with the velocity field derived by Emsellem & Arsenault (1997) with TIGER. They found that the gas and the stellar velocity at 3.5'' along the major axis is $\sim 140$km s-1.

  
\begin{figure}
\resizebox {\hsize}{!}{\includegraphics{ds7507f8.ps}}\end{figure} Figure 8: Upper panel: The gas velocity dispersion along the major axis of NGC 128 (filled circles) compared to the inner star velocity dispersion (open circles) averaged over the two semiaxes. The error bars, non plotted here, are of $\sim$20 km s-1. Lower panel: The counter-rotation of the gas component in NGC 128 along the major axis. The long slit RC of the gas, derived from emission lines, is marked by filled circles. The RC of the stars is plotted with open circles. North is on the left. The error bars, not plotted here, are comparable to the dot sizes

Unfortunately the S/N ratio is not high enough to follow the gas emission at larger distances. We also do not observe the "figure-of-eight'' in the rotation curve which is a strong signature of a barred potential (Kuijken & Merrifield 1995).

The velocity dispersion of the gas is more difficult to evaluate. We derived an approximate value by correcting the sigma of the Gaussian, used to fit the emission lines, for the instrumental dispersion through the relation: $\sigma_{\rm c} = \sqrt(\sigma^2 - \sigma^2_{\rm instr})$. The velocity dispersion is nearly constant at $\sim$175 km s-1 within the central 5''. This is only $\sim$55 km s-1 lower than the central stellar velocity dispersion. A possible explanation for this high value is that the gas is not in equilibrium yet.

The velocity field of NGC 128 derived by the CIGALE data is plotted in Fig. 9. It is well consistent with a disk-like gas component. The rotational velocity is positive along the SE direction and negative in the NW. The major axis of the H$\alpha$ disk is observed to extend up to $\sim$25'' and is approximately oriented at a position angle PA $\sim$ $120^\circ$. The PA decreases from the center (PA $\sim$ $130^\circ$) to the outer parts (PA $\sim$ $100^\circ$).

CIGALE is in poor agreement with the long slit spectroscopic data (Fig. 8). The gradient of the RC, the maximum rotational velocity, and the systemic velocity of the galaxy (greater by $\sim$90 km s-1) do not match the EFOSC data. The discrepancy is probably due to the loss of resolution caused by the binning of the CIGALE data. On the other hand the agreement is fair with the photometric observations, despite the lower resolution and the bad seeing condition. The extension and the PA of the gas disk component are similar.

  
\begin{figure}
\includegraphics [height=8cm]{ds7507f9.ps}\end{figure} Figure 9: The velocity field of NGC 128 resulting from CIGALE. The center is marked by a cross

From the 2D velocity field of the gas, following Plana & Boulesteix (1996), we derived an inclination for the disk of $\sim$50$^\circ \pm5^\circ$ which is in fair agreement with the value of $\sim$60$^\circ$ computed from the apparent flattening of the H$\alpha$ image (see Sect. 5).


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