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Home All issues Volume 504 / No 1 (September II 2009) A&A, 504 1 (2009) 1-13 Full HTML
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Table 1:

Results from fitting theoretical density profiles to the measured shear values, where each subheadline indicates the cluster centre around which the fitting was done.
BCG Abell 1351 Abell 1995 SS01a $\kappa $ map Abell 1351 Abell 1995
SIS [ $\chi^2/\;{\rm d.o.f.}$] 1.60 1.70 SIS [ $\chi^2/\;{\rm d.o.f.}$] 1.44 1.14
$\theta_{\rm E}$ [ $\hbox{$^{\prime\prime}$ }$] $16.2{+2.3\atop-2.4}$ $12.2\pm2.6$ $\theta_{\rm E}$ [ $\hbox{$^{\prime\prime}$ }$] $15.0{+2.5\atop-2.3}$ $12.0{+2.5\atop-2.8}$
$\sigma_v$ [ ${\rm km\;s}^{-1}$] $1040{+70\atop-80}$ $900{+90\atop-100}$ $\sigma_v$ [ ${\rm km\;s}^{-1}$] $1000\pm80$ $890{+90\atop-110}$
$M_{\rm SIS}$ [ $10^{14}~h_{70}^{-1}~M_\odot$] $8.7{+1.3\atop-1.4}$ $5.8{+1.2\atop-1.3}$ $M_{\rm SIS}$ [ $10^{14}~h_{70}^{-1}~M_\odot$] $7.8{+1.3\atop-1.4}$ $5.5{+1.3\atop-1.4}$
NFW [ $\chi^2/\;{\rm d.o.f.}$] 1.32 1.64 NFW [ $\chi^2/\;{\rm d.o.f.}$] 1.12 1.11
c $9.1{+\infty\atop-4.6}$ $5.2{+\infty\atop-3.4}$ c $16.1{+\infty\atop-8.4}$ $3.0{+9.0\atop-1.9}$
r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.73{+0.13\atop-0.10}$ $1.53{+0.17\atop-0.13}$ r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.69{+0.10\atop-0.11}$ $1.50{+0.20\atop-0.11}$
M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $8.1{+1.8\atop-1.4}$ $5.6{+1.9\atop-1.4}$ M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $7.5{+1.3\atop-1.5}$ $5.3{+2.1\atop-1.2}$
NFW (fixed c) [ $\chi^2/\;{\rm d.o.f.}$] 1.42 1.66 NFW (fixed c) [ $\chi^2/\;{\rm d.o.f.}$] 1.31 1.12
c 3.7 3.7 c 3.7 3.7
r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.81{+0.057\atop-0.16}$ $1.56{+0.13\atop-0.16}$ r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.67{+0.16\atop-0.086}$ $1.51{+0.16\atop-0.14}$
M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $9.4{+0.9\atop-2.4}$ $5.9{+1.5\atop-1.8}$ M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $7.4{+2.1\atop-1.1}$ $5.4{+1.7\atop-1.5}$
KS93b $\kappa $ map     Galaxy density    
SIS [ $\chi^2/\;{\rm d.o.f.}$] 1.30 2.32 SIS [ $\chi^2/\;{\rm d.o.f.}$] 1.17  
$\theta_{\rm E}$ [ $\hbox{$^{\prime\prime}$ }$] $16.5{+2.6\atop-2.4}$ $10.4{+2.7\atop-2.6}$ $\theta_{\rm E}$ [ $\hbox{$^{\prime\prime}$ }$] $16.5{+2.3\atop-2.4}$  
$\sigma_v$ [ ${\rm km\;s}^{-1}$] $1050\pm80$ $830{+100\atop-110}$ $\sigma_v$ [ ${\rm km\;s}^{-1}$] $1050{+70\atop-80}$  
$M_{\rm SIS}$ [ $10^{14}~h_{70}^{-1}~M_\odot$] $8.9\pm1.5$ $4.9{+1.3\atop-1.4}$ $M_{\rm SIS}$ [ $10^{14}~h_{70}^{-1}~M_\odot$] $9.0{+1.3\atop-1.5}$  
NFW [ $\chi^2/\;{\rm d.o.f.}$] 0.96 2.22 NFW [ $\chi^2/\;{\rm d.o.f.}$] 0.88  
c $11.2{+\infty\atop-4.9}$ $0.9{+2.1\atop-0.4}$ c $11.3{+\infty\atop-6.7}$  
r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.74{+0.11\atop-0.10}$ $1.50{+0.17\atop-0.24}$ r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.76{+0.10\atop-0.11}$  
M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $8.3{+1.6\atop-1.4}$ $5.3{+1.8\atop-2.6}$ M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $8.5{+1.5\atop-1.7}$  
NFW (fixed c) [ $\chi^2/\;{\rm d.o.f.}$] 1.13 2.33 NFW (fixed c) [ $\chi^2/\;{\rm d.o.f.}$] 1.00  
c 3.7 3.7 c 3.7  
r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.81{+0.10\atop-0.13}$ $1.51{+0.11\atop-0.23}$ r200 [ $h_{70}^{-1}\;{\rm Mpc}$] $1.79{+0.10\atop-0.11}$  
M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $9.4{+1.6\atop-2.0}$ $5.4{+1.2\atop-2.5}$ M200 [ $10^{14}~h_{70}^{-1}~M_\odot$] $9.0{+1.5\atop-1.7}$  
Integration of SS01 $\kappa $ maps          
r200 [ $h_{70}^{-1}\;{\rm Mpc}$] 1.69 1.50      
$M_{\rm 2D}(<r_{200})$ [ $10^{14}~h_{70}^{-1}~M_\odot$] $11.7\pm3.1$ $10.5\pm2.7$      
a Seitz & Schneider (2001). b Kaiser & Squires (1993).
Note that the KSB+  PSF correction tends to underestimate the shear by $10{-}15\%$, which in turn reduces the cluster masses up to $20\%$.

Source LaTeX | All tables | In the text

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