Non-linear collapse

Question 1

Turnaround at delta=

Answer 1

1.06, which is actually 5.5 (9pi^2/16)

Question 2

collapse at delta=

Answer 2

1.69, which is at 18pi^2

Question 3

Turnaround to virialised, rho:

Answer 3

rho -> 5.5 rho_bg at turnaround. at virialisation, r->r/2 so rho->rho*8. This is not 178 because this is not the overdensity. To get overdensity, rho_bg->rho_bg/4.

Question 4

t_coll=

Answer 4

2t_max