8 Barun Kumar Dhar and Liliya L.R. Williams

Barun Kumar Dhar and Liliya L.R. Williams
8
15
17
µ [mag arcsec-2]
19
21
23
NGC4472 VCC1226
rs=9.124, n=2.286
rs=49.727, n=5.101
2-component DW Fit
NGC4472 VCC1226
rs=3.864, n=0.717
rs=13.240, n=1.860
rs=45.709, n=5.359
3-component DW Fit
25
Fit range [0.02"-1052.0"]
Fit range [0.02"-1052.0"]
rms=0.0497
rms=0.0309
27
µ − µDW
0.1
0.05
0
-0.05
-0.1
0.1
1
10
100
1000
0.1
R (arcsec) 1" ≈ 83 pc
1
10
100
1000
R (arcsec) 1" ≈ 83 pc
Figure 6. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
NGC4486 VCC1316
rs=19.877, n=2.168
rs=40.621, n=7.892
2-component DW Fit
16
NGC4486 VCC1316
rs=0.266, n=1.090
rs=18.347, n=2.619
rs=73.616, n=6.451
3-component DW Fit
-2
µ [mag arcsec ]
18
20
22
24
26
Fit range [0.017"-1779"]
Fit range [0.017"-1779"]
28
µ − µDW
0.1
0.05
rms=0.0585
rms=0.0497
0
-0.05
-0.1
0.1
1
10
R (arcsec) 1" ≈ 83 pc
100
1000
0.1
1
10
100
1000
R (arcsec) 1" ≈ 83 pc
Figure 7. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Surface Mass Density of the Einasto family of dark matter halos: Are they Sersic like?
9
14
NGC4649 VCC1978
rs=8.273, n=1.085
rs=22.750, n=5.348
2-component DW Fit
16
NGC4649 VCC1978
rs=0.066, n=2.422
rs=8.147, n=1.151
rs=23.486, n=5.271
3-component DW Fit
µ [mag arcsec-2]
18
20
22
24
Fit range [0.03"-502"]
Fit range [0.03"-502"]
rms=0.0320
rms=0.0312
26
µ − µDW
0.1
0.05
0
-0.05
-0.1
0.1
1
10
100
0.1
R (arcsec) 1" ≈ 83 pc
1
10
100
R (arcsec) 1" ≈ 83 pc
Figure 8. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
14.5
NGC4406 VCC881
rs=3.009, n=1.358
rs=31.624, n=5.029
2-component DW Fit
-2
µ [mag arcsec ]
16.5
NGC4406 VCC881
rs=2.302, n=0.895
rs=244.462, n=1.488
rs=16.242, n=3.084
3-component DW Fit
18.5
20.5
22.5
24.5
Fit range [0.016"-153.3"]
Fit range [0.016"-800"]
µ − µDW
26.5
0.2
0.1
0
-0.1
-0.2
rms=0.0776
0.1
rms=0.0487
1
10
R (arcsec) 1" ≈ 81 pc
100
1000
0.1
1
10
100
1000
R (arcsec) 1" ≈ 81 pc
Figure 9. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Barun Kumar Dhar and Liliya L.R. Williams
10
15
µ [mag arcsec-2]
17
19
21
23
25
NGC4365 VCC731
rs=5.245, n=2.204
rs=20.571, n=6.331
2-component DW Fit
NGC4365 VCC731
rs=3.671, n=0.970
rs=11.085, n=3.720
rs=23.123, n=7.233
3-component DW Fit
Fit range [0.02"-657"]
Fit range [0.02"-657"]
µ − µDW
27
0.2
0.1
0
-0.1
-0.2
rms=0.0638
0.1
rms=0.0361
1
10
100
1000
0.1
R (arcsec) 1" ≈ 113 pc
1
10
100
1000
R (arcsec) 1" ≈ 113 pc
Figure 10. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
16
µ [mag arcsec-2]
18
20
NGC4374 VCC763
rs=5.017, n=2.005
rs=19.370, n=5.555
2-component DW Fit
NGC4374 VCC763
rs=3.973, n=0.935
rs=157.300, n=1.760
rs=9.919, n=3.965
3-component DW Fit
22
24
Fit range [0.01"-487"]
Fit range [0.01"-487"]
µ − µDW
26
0.1
0.05
0
-0.05
-0.1
rms=0.0482
0.01
0.1
rms=0.0274
1
10
R (arcsec) 1" ≈ 89 pc
100
0.01
0.1
1
10
100
R (arcsec) 1" ≈ 89 pc
Figure 11. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Surface Mass Density of the Einasto family of dark matter halos: Are they Sersic like?
11
µ [mag arcsec-2]
17
19
21
NGC4261 VCC345
rs=4.919, n=2.256
rs=23.332, n=4.652
2-component DW Fit
NGC4261 VCC345
rs=2.714, n=0.896
rs=9.548, n=1.446
rs=21.360, n=5.023
3-component DW Fit
23
Fit range [0.07"-240"]
Fit range [0.07"-240"]
rms=0.0579
rms=0.0240
µ − µDW
25
0.2
0.1
0
-0.1
-0.2
0.1
1
10
100
0.1
1
R (arcsec) 1" ≈ 153 pc
10
100
R (arcsec) 1" ≈ 153 pc
Figure 12. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
NGC4382 VCC798
rs=2.269, n=2.425
rs=17.252, n=5.688
2-component DW Fit
15
NGC4382 VCC798
rs=0.887, n=0.915
rs=3.712, n=1.680
rs=16.649, n=5.841
3-component DW Fit
µ [mag arcsec-2]
17
19
21
23
Fit range [0.02-26" and 221-488"]
Fit range [0.02-26" and 221-488"]
25
27
µ − µDW
0.2
0.1
rms=0.0417
rms=0.0215
0
-0.1
-0.2
0.1
1
10
R (arcsec) 1" ≈ 87 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 87 pc
Figure 13. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Barun Kumar Dhar and Liliya L.R. Williams
12
NGC4382 VCC798
rs=2.648, n=2.678
rs=41.073, n=3.334
2-component DW Fit
15
NGC4382 VCC798
rs=1.290, n=1.545
rs=6.252, n=0.903
rs=40.871, n=3.330
3-component DW Fit
µ [mag arcsec-2]
17
19
21
23
Fit range [0.02-606"]
Fit range [0.02-606"]
25
27
µ − µDW
0.2
0.1
rms=0.0980
rms=0.0901
0
-0.1
-0.2
0.1
1
10
100
0.1
R (arcsec) 1" ≈ 87 pc
1
10
100
R (arcsec) 1" ≈ 87 pc
Figure 14. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
NGC4636 VCC1939
rs=5.916, n=1.282
rs=35.231, n=6.064
2-component DW Fit
16
NGC4636 VCC1939
rs=6.375, n=1.457
rs=127.382, n=0.404
rs=35.782, n=6.244
3-component DW Fit
-2
µ [mag arcsec ]
18
20
22
24
Fit range [0.02-657"]
Fit range [0.02-657"]
rms=0.0288
rms=0.0234
µ − µDW
26
0.1
0.05
0
-0.05
-0.1
0.1
1
10
R (arcsec) 1" ≈ 71 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 71 pc
Figure 15. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Surface Mass Density of the Einasto family of dark matter halos: Are they Sersic like?
NGC4552 VCC1632
rs=2.965, n=3.786
rs=16.964, n=6.954
2-component DW Fit
15
13
NGC4552 VCC1632
rs=0.963, n=0.754
rs=4.133, n=3.306
rs=20.950, n=6.528
3-component DW Fit
-2
µ [mag arcsec ]
17
19
21
23
25
Fit range [0.045-495"]
Fit range [0.045-495"]
rms=0.0735
rms=0.0488
µ − µDW
27
0.3
0.2
0.1
0
-0.1
-0.2
-0.3
0.1
1
10
100
0.1
R (arcsec) 1" ≈ 77 pc
1
10
100
R (arcsec) 1" ≈ 77 pc
Figure 16. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
11
NGC4621 VCC1903
rs=0.067, n=8.788
rs=5.698, n=7.424
2-component DW Fit
13
NGC4621 VCC1903
rs=0.055, n=3.714
rs=48.550, n=0.985
rs=2.803, n=9.561
3-component DW Fit
µ [mag arcsec-2]
15
17
19
21
23
25
Fit range [0.02-512"]
Fit range [0.02-512"]
rms=0.0477
rms=0.0272
µ − µDW
27
0.1
0.05
0
-0.05
-0.1
0.1
1
10
R (arcsec) 1" ≈ 72 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 72 pc
Figure 17. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Barun Kumar Dhar and Liliya L.R. Williams
14
11
NGC4621 VCC1903
rs=0.041, n=6.851
rs=3.164, n=9.457
2-component DW Fit
13
NGC4621 VCC1903
rs=0.034, n=7.662
rs=29.226, n=0.286
rs=2.875, n=9.872
3-component DW Fit
µ [mag arcsec-2]
15
17
19
21
23
25
Fit range [0.02-512"]
Fit range [0.02-512"]
rms=0.0400
rms=0.0339
µ − µDW
27
0.1
0.05
0
-0.05
-0.1
0.1
1
10
100
0.1
Rgeo (arcsec) 1" ≈ 72 pc
1
10
100
Rgeo (arcsec) 1" ≈ 72 pc
Figure 18. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
13
NGC4459 VCC1154
rs=0.703, n=4.091
rs=14.661, n=3.835
2-component DW Fit
15
NGC4459 VCC1154
rs=1.021, n=5.626
rs=17.271, n=3.612
2-component DW Fit
µ [mag arcsec-2]
17
19
21
23
µ − µDW
25
27
0.2
0.1
0
-0.1
-0.2
Fit range [0.019-263"]
Fit range [0.019-1.24" and 9.6-263"]
rms=0.0498
0.1
rms=0.0403
1
10
R (arcsec) 1" ≈ 78 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 78 pc
Figure 19. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Surface Mass Density of the Einasto family of dark matter halos: Are they Sersic like?
15
13
NGC4478 VCC1279
rs=0.384, n=3.905
rs=6.735, n=2.689
2-component DW Fit
15
NGC4478 VCC1279
rs=-0.040, n=0.941
rs=0.617, n=1.217
rs=6.950, n=2.641
3-component DW Fit
µ [mag arcsec-2]
17
19
21
23
25
Fit range [0.01-106"]
Fit range [0.01-106"]
µ − µDW
27
0.2
0.1
0
-0.1
-0.2
rms=0.0993
0.1
rms=0.0355
1
10
100
0.1
R (arcsec) 1" ≈ 82 pc
1
10
100
R (arcsec) 1" ≈ 82 pc
Figure 20. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
NGC4434 VCC1025
rs=0.922, n=6.802
rs=11.209, n=1.674
2-component DW Fit
14
16
NGC4434 VCC1025
rs=0.097, n=1.238
rs=22.778, n=0.576
rs=1.609, n=5.532
3-component DW Fit
µ [mag arcsec-2]
18
20
22
24
26
µ − µDW
28
0.2
0.1
0
-0.1
-0.2
Fit range [0.022-115"]
Fit range [0.022-115"]
rms=0.0554
0.1
rms=0.0316
1
10
R (arcsec) 1" ≈ 109 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 109 pc
Figure 21. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Barun Kumar Dhar and Liliya L.R. Williams
16
14
NGC4387 VCC828
rs=0.249, n=3.562
rs=7.470, n=2.621
2-component DW Fit
16
µ [mag arcsec-2]
18
20
NGC4473 VCC1231
rs=3.164, n=2.300
rs=8.362, n=5.649
2-component DW Fit
22
24
Fit range [0.02-311"]
Fit range [0.02-93"]
µ − µDW
26
0.1
0.05
0
-0.05
-0.1
rms=0.0308
0.1
1
rms=0.0367
10
100
0.1
R (arcsec) 1" ≈ 74 pc
1
10
100
R (arcsec) 1" ≈ 87 pc
Figure 22. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
NGC4551 VCC1630
rs=-0.493, n=5.404
rs=9.160, n=2.412
2-component DW Fit
15
NGC4551 VCC1630
rs=0.170, n=1.634
rs=1.314, n=1.214
rs=8.842, n=2.446
3-component DW Fit
µ [mag arcsec-2]
17
19
21
23
25
Fit range [0.02-110"]
Fit range [0.02-110"]
µ − µDW
27
0.1
0.05
0
-0.05
-0.1
rms=0.0263
rms=0.0434
0.1
1
10
R (arcsec) 1" ≈ 78 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 78 pc
Figure 23. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Surface Mass Density of the Einasto family of dark matter halos: Are they Sersic like?
NGC4458 VCC1146
rs=0.232, n=3.003
rs=6.457, n=3.594
2-component DW Fit
14
NGC4458 VCC1146
rs=0.177, n=1.502
rs=0.505, n=3.078
rs=8.153, n=3.149
3-component DW Fit
16
µ [mag arcsec-2]
17
18
20
22
24
Fit range [0.02-95"]
Fit range [0.02-95"]
µ − µDW
26
0.1
0.05
0
-0.05
-0.1
rms=0.0506
rms=0.0265
0.1
1
10
100
0.1
R (arcsec) 1" ≈ 80 pc
1
10
100
R (arcsec) 1" ≈ 80 pc
Figure 24. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
12
NGC4464 VCC1178
rs=0.290, n=6.664
rs=3.911, n=2.822
2-component DW Fit
14
NGC4464 VCC1178
rs=0.089, n=1.994
rs=0.718, n=1.222
rs=3.225, n=3.094
3-component DW Fit
µ [mag arcsec-2]
16
18
20
22
24
Fit range [0.02-69"]
Fit range [0.02-69"]
26
µ − µDW
28
0.1
0.05
0
-0.05
-0.1
rms=0.0406
0.1
rms=0.0214
1
10
R (arcsec) 1" ≈ 77 pc
100
0.1
1
10
100
R (arcsec) 1" ≈ 77 pc
Figure 25. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
Barun Kumar Dhar and Liliya L.R. Williams
18
14
NGC4467 VCC1192
rs=0.150, n=2.673
rs=2.822, n=2.402
2-component DW Fit
18
-2
µ [mag arcsec ]
16
VCC1440 IC798
rs=0.073, n=1.378
rs=1.749, n=4.976
2-component DW Fit
20
22
24
µ − µDW
26
0.1
0.05
0
-0.05
-0.1
Fit range [0.02-69"]
Fit range [0.02-43"]
rms=0.0205
rms=0.0320
0.1
1
10
R (arcsec) 1" ≈ 80 pc
0.1
1
10
R (arcsec) 1" ≈ 78 pc
Figure 26. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.
14
VCC1627
rs=0.115, n=2.002
rs=1.739, n=2.907
2-component DW Fit
16
VCC1199
rs=0.087, n=1.896
rs=1.205, n=2.389
2-component DW Fit
-2
µ [mag arcsec ]
18
20
22
24
Fit range [0.02-29"]
Fit range [0.02-14"]
rms=0.0370
rms=0.0231
µ − µDW
26
28
0.1
0.05
0
-0.05
-0.1
0.1
1
R (arcsec) 1" ≈ 76 pc
10
0.1
1
10
R (arcsec) 1" ≈ 80 pc
Figure 27. Left: NGC4472 (VCC1226) two component fit with Dhar-Williams function. Rms for 2-component Sersic fit in Hopkins
et.al.2009 is 0.08. Note the presence of ACSVCS galaxies at VCC1192(247”), VCC1199(276”) and VCC1178(680”); Right: Same as in
left, but a 3-component fit with the Dhar-Williams function.