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Risa Wechsler - Astronomy and Astrophysics

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M 200<br />

Lensing Mass<br />

Cluster Size<br />

10 14<br />

10 13<br />

10 12<br />

r 200 [h !1 Mpc]<br />

S<br />

M200 = A Ngal A= 2.1±0.4 ×10 11<br />

S= 1.56±0.07<br />

χ 2 = 11.1 DOF=10<br />

1 10 100<br />

<br />

2.0<br />

1.0<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

Sheldon et al 2005 (in prep)<br />

Hansen et al 2005,<br />

ApJ in press<br />

0.4<br />

6 8 10 20 40 60 80 100<br />

N gals<br />

Sigma diff<br />

Velocity Dispersion<br />

1000<br />

100<br />

Real Data<br />

McKay et al 2005 (in prep)<br />

1 10 100 1000<br />

N gals<br />

several ways to measure the scaling<br />

between cluster richness <strong>and</strong> “mass”<br />

only problem: you don’t know what N is,<br />

<strong>and</strong> you don’t know what M (or sigma or R) is!

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