Table 1.
Mass–velocity anisotropy models.
Model | 6 | 7 | 7c | 12 | 12e | 15 | 15e | |
---|---|---|---|---|---|---|---|---|
(1) | Color | Magenta | Orange | Red | Turquoise | Royal blue | Green | Navy blue |
(2) | ρ(r) | gNFW | gNFW | gNFW | NFW | n = 6 Einasto | NFW | n = 6 Einasto |
(3) | β(r) | gOM | Tiret | Tiret | Tiret | Tiret | gOM | gOM |
(4) | R−1 | 0.011 | 0.040 | 0.040 | 0.031 | 0.031 | 0.003 | 0.002 |
(5) | Nfree | 12 | 15 | 15 | 14 | 14 | 11 | 11 |
(6) | r200 | Free | Free | Free | Free | Free | Free | Free |
(7) | c200 | f(M200) | f(M200) | free | f(M200) | f(M200) | f(M200) | f(M200) |
(8) | γ | Free | Free | Free | – | – | – | – |
(9) | rν | Free | Free | Free | Free | Free | Free | Free |
(10) | β0 | Free | Free | Free | Free | Free | Free | Free |
(11) | β∞ | Free | Free | Free | Free | Free | Free | Free |
(12) | rβ | rν | Free | Free | Free | Free | rν | rν |
Notes. The model number is the same as in Table 2 of Paper II. Letters following the model numbers indicate slight modifications to the models; we use ‘c’ to indicate that the halo concentration c200 is a fully free parameter, and ‘e’ that the Einasto total density model ρ(r) model is adopted. The rows are (1): color coding used in the figures (unless otherwise specified); (2): total density model; (3): velocity anisotropy model (parameter δ of Eq. (8)); (4): Gelman & Rubin (1992) convergence criterion of the 6 MCMC chains (values below 0.02 are considered very good, and values between 0.02 and 0.04 are considered adequate); (5): number of free parameters; (6): virial radius; (7): halo concentration (when c200 = f(M200) we use Eq. (9) from Dutton & Macciò (2014) to estimate c200 from M200, so c200 is not a fully free parameter: it has a Gaussian prior with uncertainty σ(log c200) = 0.1); (8): slope of the inner total mass density profile; (9–12): for each of the three morphological classes, the scale radius of the number density profile (9), the inner (10) and outer (11) velocity anisotropies, and the anisotropy radius (12), where rβ = rν means that we fixed the anisotropy radius to the tracer scale radius.
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