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Mass and Light distributions in Clusters of Galaxies - Henry A ...

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<strong>Mass</strong> <strong>and</strong> <strong>Light</strong> <strong>of</strong> A1703, A370 & RXJ1347-11<br />

1.5<br />

0.25<br />

Distortion g +<br />

0.2<br />

0.15<br />

0.1<br />

0.05<br />

0<br />

−0.05 0.2<br />

Fraction 1−g +<br />

(G)/g +<br />

(B)<br />

1<br />

0.5<br />

0<br />

g x<br />

0<br />

−0.2<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

−0.5<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

0.8<br />

1.5<br />

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Distortion g +<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

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Fraction 1−g +<br />

(G)/g +<br />

(B)<br />

1<br />

0.5<br />

0<br />

g x<br />

0<br />

−0.2<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

−0.5<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

1.5<br />

0.5<br />

Distortion g +<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0<br />

−0.1 0.2<br />

Fraction 1−g +<br />

(G)/g +<br />

(B)<br />

1<br />

0.5<br />

0<br />

g x<br />

0<br />

−0.2<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

−0.5<br />

1 2 5 10 20<br />

θ [arcm<strong>in</strong>]<br />

Figure 3.6 – Tangential reduced shear vs.<br />

radius for A1703, A370 <strong>and</strong> RXJ1347-11<br />

(top to bottom). The lower panels show the<br />

45 ◦ -rotated (g X ) component <strong>of</strong> the reduced<br />

shear. The green pentagrams represent the<br />

green sample, conta<strong>in</strong><strong>in</strong>g mostly cluster <strong>and</strong><br />

some background galaxies whose colors are<br />

similar to the cluster. The black squares<br />

show the level <strong>of</strong> tangential distortion <strong>of</strong> the<br />

comb<strong>in</strong>ed red+blue (triangles <strong>and</strong> circles,<br />

respectively) samples <strong>of</strong> the background.<br />

The green pentagrams slightly rise to the<br />

background level at large radii, <strong>in</strong>dicat<strong>in</strong>g<br />

the green sample still conta<strong>in</strong>s some level <strong>of</strong><br />

background galaxies at the outskirts <strong>of</strong> the<br />

cluster, <strong>and</strong> is consistent with zero towards<br />

the cluster center where cluster members<br />

dom<strong>in</strong>ate the green sample <strong>and</strong> dilute the<br />

lens<strong>in</strong>g signal.<br />

Figure 3.7 – Fraction <strong>of</strong> cluster membership<br />

vs. radius for A1703, A370 <strong>and</strong><br />

RXJ1347-11 (top to bottom). Cluster<br />

membership is proportional to the dilution<br />

<strong>of</strong> the distortion signal <strong>of</strong> the green sample,<br />

relative to the expected distortion <strong>of</strong> the<br />

background galaxies set by the comb<strong>in</strong>ed<br />

red <strong>and</strong> blue samples. The fraction departs<br />

from unity only at large radius.

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