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sims_python_files/estimate_relative_pbh_velocity_from_halo_mass.py

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import numpy as np
G = 42.981 #everything here is in Gadget-units
def v_halo_from_mass(m_halo:int, L_box: float, N_res:int, m_particle:float):
m_box = N_res**3 * m_particle
rho_mean = m_box / (L_box ** 3)
rho_halo = 200 * rho_mean
r_halo = (3 * m_halo / (4 * np.pi * rho_halo)) ** (1/3)
v_halo = np.sqrt(G * m_halo / r_halo)
return v_halo
v_result = v_halo_from_mass(m_halo=0.000067742, L_box=30.0, N_res=128, m_particle=0.1107263)
print(v_result)
# #Results:
# 11.75 for 0.067742 * 10^10 / h
# 6.21 for 0.01 ...
# 2.88 for 0.001 ...
# 1.17 for 0.000067742 ... (i.e. 10^6 M_sun halos, i.e. three orders of magnitude smaller than the 10^9 we started with)