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Bright-end consistency checks

Total Magnitudes of Virgo Galaxies. I.
Construction of a Self-consistent Reference Dataset
Spanning 8th to 18th mag.

Christopher Ke-shih Young
, PASA, 18 (2), in press.

Next Section: The scope of this
Title/Abstract Page: Total Magnitudes of Virgo
Previous Section: Bright galaxy sample (14th-8th
Contents Page: Volume 18, Number 2

Bright-end consistency checks

It is reassuring to find that for the 3 objects in common between Tablesá 2 and 3, the new total-magnitude values are in good agreement. For NGCá 4352, NGCá 4431 and NGCá 4436, the differences (Tableá 2 minus Tableá 3) are -0.01, +0.04 and +0.18 mag. respectively.
Table 4: BT values adopted from Michard (1982) in order to provide a consistency check on the improved values listed in Tableá 3
Designation VCC type/ BT

$B_{A_{{\rm max}}}-B_T$

á  membership (mag.) (mag.)
NGCá 4124 S0/M 12.10 0.42
NGCá 4168 E/M 12.25 0.45
NGCá 4262 SB0/M 12.43 0.16
NGCá 4267 SB0/M 11.81 0.47
NGCá 4339 S0/M 12.37 0.44
NGCá 4365 E/M 10.64 0.44
NGCá 4374 E/M 10.26 0.40
NGCá 4382 S0(pec)/M 10.03 0.33
NGCá 4387 E/M 12.97 0.22
NGCá 4406 S0/M 10.08 0.59
NGCá 4417 S0/M 12.02 0.27
NGCá 4425 SBa/M 12.75 0.18
NGCá 4429 S0-Sa(pec)/M 11.11 0.49
NGCá 4435 SB0/M 11.68 0.37
NGCá 4442 SB0/M 11.32 0.28
NGCá 4458 E/M 12.85 0.44
NGCá 4459 S0/M 11.39 0.43
NGCá 4461 Sa/M 12.08 0.31
NGCá 4472 E-S0/M 9.34 0.74
NGCá 4473 E/M 11.07 0.56
NGCá 4474 S0/M 12.57 0.29
NGCá 4476 S0/M 13.17 0.29
NGCá 4477 SB0-SBa/M 11.45 0.49
NGCá 4486 E/M 9.65 0.72
NGCá 4503 Sa/M 12.13 0.38
NGCá 4526 S0/M 10.70 0.15
NGCá 4550 E-S0/M 12.46 0.19
NGCá 4564 E/M 11.96 0.32
NGCá 4570 S0-E/M 11.79 0.24
NGCá 4596 SBa/M 11.50 0.44
NGCá 4638 S0/M 12.22 0.20
NGCá 4649 S0/M 9.88 0.80

á  á  á 
  • Notes: (1) The

    $B_{A_{{\rm max}}}-B_T$ extrapolation values listed here are based on the maximum aperture for which a reliable measurement was obtained. (2) Membership assignments are based on radial velocities: M (for member) if less than 3500 km ${\rm s}^{-1}$. (3) NGCá 4124 is not listed in the VCC. Its type was taken from the RC3 instead.


Figure 2: A comparison between the new Bt values derived from Caon et al.'s surface-brightness profiles (Tableá 3) and Michard's BT values (Tableá 4) for the 18 galaxies in common between Tablesá 3 and á 4. The datapoints represent individual galaxies and the equality line is shown for reference. The error bars only represent uncertainties in the extrapolation terms, and have been set to one quarter of the extrapolation terms in mag. Larger `$\bullet $' symbols have been used to distinguish the 6 objects for which n<0.25. These objects are listed in Tableá 5. If these objects are excluded, the mean BT(Tableá 4) - Bt(Tableá 3) offset for the remaining 12 objects is only +0.03($\pm 0.04$)á mag.
\begin{figure} \begin{center} \psfig{file=p1f2.ps,height=7.5cm,angle=-90} \end{center} \end{figure}

For bright Virgo galaxies, another dataset was identified as likely to be of the highest quality-that of Michard (1982) whose total magnitudes, which were derived from photoelectric aperture photometry measurements, have been adopted here without modification. Note however, that whilst we have excluded all objects whose photometry Michard flagged as unreliable, we have not excluded objects when his only concern was that the extrapolation terms were large. One aspect of Michard's work that sets it apart from most other authors' is that it took into account systematic departures from the standard growth curves relevant to each galaxy's morphological type. This was done by applying the best fitting standard growth curve from the Second Reference Catalog of Bright Galaxies (RC2) of de Vaucouleurs et al. (1976) in each case, not the one listed as appropriate to the galaxy's morphogical type. A list of the values adopted is given in Tableá 4. As is evident from Fig.á 2, there is no evidence for any scale error between the new total magnitudes derived from Caon et al.'s original photometry and Michard's values, provided one excludes the six bright objects for which the profile-shape parameter n was found to be less than 0.25. This would appear to confirm that zero-point differences between the photometry of Caon et al. and Michard are small1. Note that the error terms on Michard's magnitudes are generally larger than those on our values due to larger extrapolation terms2 and fewer measurements per luminosity profile. Unfortunately there is only one object in common between Michard's galaxy sample and those objects listed in Tableá 2, namely NGCá 4468. As Michard flagged most of the aperture measurements for this galaxy as unreliable, it has not been listed in Tableá 4. However, our value of Bt=13.82 is in excellent agreement with Michard's value of BT=13.79.
Table 5: A comparison between the total magnitude values derived by Michard, Caon et al. and the author for galaxies listed in Tableá 3 that were found to possess luminosity profiles of n<0.25
Designation Tableá 3 Michard Caon et al. Caon et al. Caon et al. Tableá 3
á  n BT BT (1990) Tableá I BT (1990) Tableá VI BT (1994) Bt
á  á  (mag.) (mag.) (mag.) (mag.) (mag.)
NGCá 4261 0.19 - - - 11.03 11.00
NGCá 4269 0.15 - - - 13.32 13.38
$\bullet $ NGCá 4365 0.19 10.64 - - 10.35 10.28
$\bullet $ NGCá 4374 0.15 10.26 10.26 9.71 - 9.71
$\bullet $ NGCá 4406 0.15 10.08 10.06 9.63 - 9.15
$\bullet $ NGCá 4472 0.20 9.34 - - 8.87 8.93
$\bullet $ NGCá 4473 0.22 11.07 11.10 11.02 - 11.07
$\bullet $ NGCá 4486 0.23 9.65 9.58 9.48 - 9.43
NGCá 4552 0.15 (10.91) 10.78 10.38 - 10.48
NGCá 4621 0.15 (10.83) 10.76 10.30 - 10.30
NGCá 4636 0.21 - - - 10.01 9.79
  • Notes: (1) Three objects were not observed by Michard: NGCá 4261, 4269 and 4636; whilst Michard's BT values for a further two are listed in parentheses because they were flagged by him as unreliable. Only the six objects for which Michard obtained reliable BT measurements appear on Fig.á 2. These objects are flagged with `$\bullet $' symbols.

In the cases of the six bright objects shown in Fig.á 2 for which n<0.25 then (see also Tableá 5), the large systematic differences between our new Bt values and Michard's BT ones cannot be the result of zero-point differences, but must primarily be due to the different extrapolations applied. The RC2 set of standard growth curves available to Michard did not include any curve specific to galaxies more centrally concentrated than n=0.25 objects, and so Michard necessarily applied the growth curve specific to the n=0.25 case to his most centrally concentrated objects. Consistency checks on our extrapolation terms for all of the objects listed in Tableá 3, including the most centrally concentrated ones, can be provided by comparisons with Caon et al.'s total magnitudes. It was found that for objects of $n \geq 0.25$ (with a scatter of 0.24á mag. about the mean offset):

\begin{displaymath} {\rm Extrapolated} \hspace{1mm} B_{T}{\rm (Caon \hspace{1mm... ...hspace{1mm} 3)} = -0.06 (\pm 0.05) \hspace{1mm} {\rm mag.} \end{displaymath} (1)

and (with a scatter of 0.14á mag.):

\begin{displaymath} {\rm Integrated\/} \hspace{1mm} B_{T}{\rm (Caon \hspace{1mm... ...space{1mm} 3)} = -0.06 (\pm 0.02) \hspace{1mm} {\rm mag.;} \end{displaymath} (2)

where `extrapolated' values are from Caon et al. (1990) Tableá I and `integrated' values are from Caon et al. (1990) Tableá VI or Caon et al. (1994). For objects of n < 0.25 on the other hand, it was found that (with a scatter of 0.31á mag.):

\begin{displaymath} {\rm Extrapolated\/} \hspace{1mm} B_{T}{\rm (Caon \hspace{1... ...hspace{1mm} 3)} = +0.40 (\pm 0.12) \hspace{1mm} {\rm mag.} \end{displaymath} (3)

and (with a scatter of 0.17á mag.):

\begin{displaymath} {\rm Integrated\/} \hspace{1mm} B_{T}{\rm (Caon \hspace{1mm... ...\hspace{1mm} 3)} = +0.05 (\pm 0.05) \hspace{1mm} {\rm mag.} \end{displaymath} (4)

In the latter case, if NGCá 4406 were excluded3, we find that (with a scatter of 0.09á mag.):

\begin{displaymath} {\rm Integrated\/} \hspace{1mm} B_{T}{\rm (Caon \hspace{1mm... ...\hspace{1mm} 3)} = +0.01 (\pm 0.03) \hspace{1mm} {\rm mag.} \end{displaymath} (5)

The agreement with Caon et al.'s integrated magnitudes is therefore very good and much better than with Caon et al.'s extrapolated values. This is reassuring because integrations to large radii should yield relatively unbiased (even if often relatively noisy) estimates of total magnitude4. The disagreements with Caon et al.'s extrapolated magnitudes and Michard's values at the bright end are therefore no cause for concern. Both of the latter sources of magnitude estimates are strongly affected by the

$r^{\frac{1}{4}}$-law extrapolations applied-especially in the cases of the most centrally concentrated objects. As far as our profile fits and parameterisations for the most centrally concentrated objects are concerned, the almost perfect agreement between the Bt(systemic) and Bt(integrated to $r_{{\rm max}}$ & extrapolated) values listed in Tableá 35, would appear to confirm the superiority of our fits with respect to ones rigidly assuming n=0.25. Furthermore, our finding that the profiles of the brightest early-type Virgo galaxies are best fitted by Sö©rsic profiles of n<0.25 is in full agreement with Graham et al.'s (1996) conclusion that brightest cluster galaxies typically have n<0.256.


Next Section: The scope of this
Title/Abstract Page: Total Magnitudes of Virgo
Previous Section: Bright galaxy sample (14th-8th
Contents Page: Volume 18, Number 2

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