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1D: Constrained two disk fits

Two galaxies were selected for a test of the 1D constrained two disk fit. We selected on the basis of a clearly present thick disk component in the profiles, but with a low thick disk scaleheight. IC 3322A and NGC 5981, both in the J-band, were chosen. An outer limit was determined by comparing the shape and extent of the different vertical profiles to see where the noise clearly started to dominate. For both galaxies $z_{\textrm{\scriptsize max}}$ was set at 30 arcseconds. No lower surface brightness limit was set as the fit is weighted with the intensities. $z_{\textrm{\scriptsize min}}$ is the same for the 2D Two Disk fit (see Table 11), determined at where the flattening of the inner part of the profile started, which is approximately equal to two times the FWHM. For each quadrant we determined the average or mean, depending if they deviated by more than 0.3 arcseconds, of $z_n$ for each cut by selecting 4-5 datapoints of the inner part of the profile and fitting a linear slope to it. The thin disk scaleheight is given in the title of each subtable of Tables 8 and 9.


TABLE 8

IC 3322A J
1D: CONSTRAINED TWO DISK FIT RESULTS


A: UPPER NORTH-WEST [ = 4.1]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
(1) (2) (3) (4) (5)
- 30.5 -    
- 34.1 -    
0.0053 38.0 18.33 22.95 8.65*
0.0151 42.4 18.49 22.33 4.19
0.0257 47.1 18.66 22.22 3.57
0.0593 51.9 19.05 21.73 3.02
0.0387 57.4 19.58 21.43 2.64
0.0815 63.4 20.97 20.51 1.80*
0.0065 70.1 20.19 21.83 2.83*
0.0663 77.2 21.05 21.16 2.00*
0.0484 84.7 20.32 23.41 8.78*
         

B: LOWER NORTH-WEST [ = 3.6]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
(1) (2) (3) (4) (5)
0.0225 30.9 18.38 21.59 4.36
0.0340 34.1 18.42 21.95 4.77
0.0143 38.0 18.60 21.36 3.19
0.0338 42.4 18.80 21.12 2.54
0.0169 47.1 18.79 22.48 6.40
0.0181 51.9 18.85 23.06 9.60*
0.0277 57.4 19.14 22.37 4.01
0.0982 63.4 19.63 21.79 2.88
0.0349 70.1 19.78 21.82 2.72
0.0242 77.2 20.27 21.33 2.00*
0.0225 84.7 19.97 23.67 9.56*
         

C: UPPER SOUTH-EAST [ = 4.1]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
0.0244 30.9 18.36 22.35 3.90
0.3393 34.5 18.99 19.71 1.38*
0.0576 38.0 18.50 22.58 3.70
0.0206 42.4 18.65 22.90 6.12
0.0231 47.1 18.93 22.27 3.69
0.0206 52.3 19.34 21.55 2.45
0.1572 57.8 20.71 20.32 1.57*
0.1354 63.8 21.06 20.61 1.56*
0.0510 70.1 20.38 22.15 2.71
0.0572 77.2 20.50 22.73 3.07
         

D: LOWER SOUTH-EAST [ = 4.0]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
0.0144 30.9 18.73 21.96 3.92
0.0485 34.5 18.75 22.19 3.33
0.0089 38.0 18.89 21.78 3.09
0.0762 42.4 20.76 19.40 1.33*
0.0280 47.1 19.09 21.49 2.37
0.0344 52.3 19.06 21.99 2.88
0.0154 57.8 19.15 23.01 6.34
0.0445 63.8 19.66 21.33 1.95*
0.0596 70.1 19.48 22.82 2.99
0.1554 77.2 19.83 22.05 1.98*
         

Notes: (1) See Section 3.6 for the defitinion. (2) central radial position of the bin. (3) Thin disk central surface brightness. (4) Thick disk central surface brightness. (5) Thick disk/thin disk scaleheight ratio. * cuts not taken into account for determining the average parameters.

The results are shown in Table 8 and 9 for IC 3322A and NGC 5981 respectively. The tables are set in sets of four, for each quadrant of the galaxy. For IC 3322A J we found an average $z_n$ of 3.9 $\pm$ 0.4 arcseconds and an average $f_z$ of 3.7 $\pm$ 1.2 with an average $\mu_{n-k}$ of 3.0 $\pm$ 0.7 mag arcsec$^{-2}$. We chose to represent $\mu_{n-k}$ as this value gives a good indication of the brightness difference between the thin and the thick disk. For NGC 5981 J we found a $z_n$ of 3.1 $\pm$ 0.4 arcseconds and a $f_z$ of 3.9 $\pm$ 1.7 with a $\mu_{n-k}$ of 3.7 $\pm$ 1.0 mag arcsec$^{-2}$.
The cuts in the tables marked with a * were not used to determine the average parameter values as they either contained background structure making $f_z$ too large to be trustworthy, were partially masked or contained other irregularities that made the fit doubtful. We were not able to fit all profiles due to residual background structures or too heavy irregularities in the profile.
One can clearly see a lot of variation in the results and that the results are very sensitive to the local intrinsic vertical structure of the galaxy. It is hard to see any trends, especially in the case of NGC 5981 which has many cuts which could not be fitted.


TABLE 9

NGC 5981 J
1D: CONSTRAINED TWO DISK FIT RESULTS


A: UPPER NORTH-WEST [ = 3.1]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
0.0109 21.4 17.22 22.09 5.94
0.0382 24.2 17.23 22.38 6.52
0.1234 27.3 17.39 21.27 2.83
0.0248 30.5 17.39 22.95 9.17*
0.1103 34.1 17.51 21.89 3.45
0.0251 38.0 17.53 23.54 8.65*
- 42.4 -    
- 47.1 -    
0.0260 51.9 18.60 19.82 1.49*
0.3152 57.4 18.94 20.19 1.58*
         

B: LOWER NORTH-WEST [ = 3.3]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
0.1121 21.4 18.00 20.90 2.61
0.0434 24.2 17.97 22.02 4.94
0.0384 27.3 18.05 21.95 3.79
0.0315 30.5 18.14 21.85 2.88
0.0575 34.1 18.59 20.11 1.64
0.0188 38.0 18.41 21.73 2.68
0.1352 42.4 18.45 22.38 2.79
- 47.1 -    
- 51.9 -    
- 57.4 -    
         

C: UPPER SOUTH-EAST [ = 3.3]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
- 21.8 -    
- 24.6 -    
- 27.3 -    
0.3317 30.9 17.79 23.00 8.12*
- 34.5 -    
0.0640 38.0 18.17 22.06 3.27
0.0319 42.4 18.40 21.82 2.88
- 47.1 -    
0.1280 52.3 18.89 21.45 2.42
0.4340 57.8 19.16 22.32 3.59
0.0744 63.8 20.84 20.72 1.98*
         

D: LOWER SOUTH-EAST [ = 3.0]
  [$''$] [mag/$\Box ''$] [mag/$\Box ''$]  
0.0652 21.8 17.49 22.17 5.95
0.0344 24.6 17.54 22.98 11.94*
0.0407 27.3 17.66 22.71 7.99*
- 30.9 -    
0.0321 34.5 17.94 22.84 7.70*
0.0140 38.0 18.18 22.47 5.22
0.0401 42.4 18.74 20.63 2.13
0.1170 47.1 18.84 22.03 3.54
0.0397 52.3 19.28 21.96 3.88
- 57.8 -    
- 63.7 -    
         

Notes: See Table 9 for a description.


next up previous contents
Next: 1D: Alternative fitting function Up: Results Previous: Sample selection   Contents
O.A. van den Berg 2006-09-05