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\subsection{Merger tree}
Where we got the merger data from and how we extracted it.
- Using Andrea Kulier's cosmological simulation, we plotted galaxy masses as a function of time.
- We took the data from the three most massive galaxies (ie, most massive at redshift z=0).
- We curve-fit each galaxy's mass to polynomial functions of time.
- We also curve-fit each galaxy's (accreted+seeded) central black hole mass to exponential functions of time.
- We added those functions to the Fortran hermite code
- We implemented the SO potential-density pair (using the m200, r200 from the fitting functions above, getting half-mass radius from NFW profile, and using it as half-mass radius for the SO profile).
Simulation of Cen et al. (have to look up the year)