ASTR 610 Theory of Galaxy Formation Lecture 16
ASTR 610 Theory of Galaxy Formation Lecture 16
ASTR 610 Theory of Galaxy Formation Lecture 16
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Disk <strong>Formation</strong>: The Standard Picture<br />
As shown by Mo, Mao & White (1998; hereafter MMW), in this case one has that<br />
R d = 1 √<br />
2<br />
λ<br />
<br />
jd<br />
m d<br />
<br />
R vir F −1<br />
R F −1/2<br />
E<br />
new addition<br />
F E is defined by<br />
F R is defined by<br />
E = − M vir Vvir<br />
2<br />
2<br />
F R = 1 2<br />
Rvir /R d<br />
0<br />
F E<br />
u 2 e −u V c(uR d )<br />
V vir<br />
du<br />
see MMW for simple<br />
fitting functions for<br />
both F E and F R ....<br />
V 2<br />
c (R) =V 2<br />
c,d(R)+V 2<br />
c,h(R) =V 2<br />
c,d(R)+ GM h,ac(R)<br />
R<br />
contribution to<br />
rotation curve due to<br />
self-gravity <strong>of</strong> disk<br />
With this modification, the MW can be reproduced with<br />
λ m d 0.05 in much better agreement with expectations<br />
circular velocity <strong>of</strong> the dark<br />
matter halo, corrected for<br />
adiabatic contraction due to<br />
disk formation<br />
<strong>ASTR</strong> <strong>610</strong>: <strong>Theory</strong> <strong>of</strong> <strong>Galaxy</strong> <strong>Formation</strong> © Frank van den Bosch: Yale 2012
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