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

Mass and Light of A1703, A370 & RXJ1347-11
0−0.3 Mpc/h
0.2
0.3−0.8 Mpc/h
0.8−2.5 Mpc/h
0.1
0
0.1
Φ(M) [h 2 Mpc −2 mag −1 ]
−0.93
α=−0.95±0.05 M *
=−21.4±0.6
−0.94
−0.95α
10 2
−0.96
−1.06
α=−1.08±0.08 M *
=−21.7±0.8
−1.07
g + 0.05
10 1
−1.08
−1.09α
−1.1
0
0.02
α=−1.24±0.2 M
10 0
*
=−21.8±3
−1.2
10 3 M R
g +
−24 −22 −20 −18 −16 −14
g +
−24 −23 −22 −21
0.01
0
−0.01
−24 −22 −20 −18 −16 −14
M r’
10 −1
M *r’
−1.25α
−1.3
g
g
0.6
10 3 −1.03
0−0.3 Mpc/h
α=−1±0.04 M *
=−22.4±0.6
0.3−1 Mpc/h
−1.035
0.4
+
1−2.2 Mpc/h
−1.04 α
0.2
10 2
−1.045
0
−1.11
0.15
α=−1.12±0.05 M *
=−22.1±0.7
g + 0.1
10 1
−1.12
α
0.05
−1.13
0
−1.14
0.06
α=−1.18±0.09 M *
=−22.8±1
10 0
−1.16
0.04 +
−1.18α
0.02
−1.2
0
10 −1
−1.22
−25 −20 −15
−24 −22 −20 −18 −16 −14 −23.5 −23 −22.5 −22
M R
M R
M *R
Φ(M) [h 2 Mpc −2 mag −1 ]
10 3
g
−23 −21
0.25
0−0.8 Mpc/h
α=−1±0.06 M *
=−21.6±0.5
0.8−2 Mpc/h
0.2
0.15
+
10 2
0.1
0.05
10 1
0
0.06
α=−1.12±0.1 M *
=−22±2
10 0
0.04
0.02
10 −1
0
−0.02
10 −2
−25 −20 −15
M R
−24 −22 −20
M R
−18 −16 −14
−22
M *R
g +
Φ(M) [h 2 Mpc −2 mag −1 ]
−0.98
−0.985
−0.99
−0.995α
−1
−1.005
−1.01
−1.08
−1.1
−1.12α
−1.14
−1.16
Figure 3.14 – Luminosity functions of A1703 (top), A370 (middle) and RXJ1347-11
(bottom). Center part: LFs and their Schechter fits are shown for several independent
radial bins, indicating little trend of the shape of the LF with radius. Left part: tangential
distortion g T of the green sample as a function of magnitude used in the derivation of
the corresponding LF. Right part: 1σ, 2σ, and 3σ contours for the Schechter function fits
parameters M ∗ and α, for each of the corresponding LFs of each radial bin.