Stéphane Courteau
Stéphane Courteau
Stéphane Courteau
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Scaling Relations of Galaxies<br />
• For a virialized DM halo:<br />
• At early times, with:<br />
MVir 3<br />
RVir ∝ a−3<br />
• Constant M/L :<br />
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• N-body simul :<br />
Observed:<br />
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V obs ∝ a −1/ 2 L 0.33<br />
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Vobs ∝ LI 0.31±0.02<br />
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L ∝ MVir 2 MVir VVir ∝<br />
RVir a = (1+ z) −1<br />
VVir ∝ a −1/ 2 1/ 3<br />
MVir €<br />
R disk ≅ λR Vir<br />
R disk ∝ aL 0.33<br />
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R disk ∝ L 0.28±0.02<br />
1/ 3<br />
RVir ∝ aMVir V obs ≅ V Vir
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