Table A.1.
Coefficients of fits to ratios of z = 0 halo radii and masses.
| Δ | Δ′ | rΔ′/rΔ | ℳΔ′/ℳΔ | |||||
|---|---|---|---|---|---|---|---|---|
| a0 | a1 | a2 | b0 | b1 | b2 | |||
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | |
| 180m | 200m | −0.026 | 0.011 | −0.003 | −0.032 | 0.032 | −0.010 | |
| 180m | vir | −0.156 | 0.069 | −0.022 | −0.203 | 0.207 | −0.067 | |
| 180m | 200c | −0.345 | 0.166 | −0.054 | −0.477 | 0.497 | −0.163 | |
| 200m | vir | −0.129 | 0.056 | −0.018 | −0.166 | 0.168 | −0.054 | |
| 200m | 200c | −0.314 | 0.149 | −0.049 | −0.430 | 0.446 | −0.146 | |
| vir | 200c | −0.172 | 0.077 | −0.025 | −0.225 | 0.230 | −0.074 | |
Notes. The ratios of radii and masses are obtained with Eqs. (A.6a) and (A.6b), respectively. The first two columns are respectively the prior and final overdensities, with suffixes “m” and “c” for relative to mean and critical densities of Universe, respectively; “vir” refers to the Bryan & Norman 1998 virial radius. In terms of the critical density of the Universe, at z = 0 one has Δc,180m = 180 Ωm = 55.4; Δc,200m = 200 Ωm = 61.6, while Δc,vir = 102.2. Columns 3 to 5 and 6 to 8 are the second-order polynomial coefficients for the ratios of final to prior halo radius and mass, respectively in terms of concentration, following Eq. A.6.
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