Table 2.
Parameters of the BLR model with definitions, priors, and units where appropriate (all angles are in radians).
RBLR | Mean radius of the BLR | LogUniform(10−4, 10 pc) |
F | Minimum radius of the BLR in units of RBLR | Uniform(0, 1) |
β | Unit standard deviation of BLR radial profile | Uniform(0, 2) |
θo | Angular thickness measured from the mid-plane | Uniform(0, π/2) |
i | Inclination angle | Uniform(cos i(0, π/3)) |
PA | Position angle of the line of nodes on sky (east of north) | Uniform(0, 2π) |
κ | Anisotropy of the cloud emission | Uniform(−0.5, 0.5) |
γ | Clustering of the clouds at the edge of the disk | Uniform(1, 5) |
ξ | Mid-plane transparency | Uniform(0, 1) |
MBH | Black hole mass | LogUniform(105, 1010 M⊙) |
fellip | Fraction of clouds in bound elliptical orbits | Uniform(0, 1) |
fflow | Flag for specifying inflowing or outflowing orbits | Uniform(0, 1) |
θe | Angular location for radial orbit distribution | Uniform(0, π/2) |
σρ, circ | Radial standard deviation for circular orbit distribution | LogUniform(0.001, 0.1) |
σΘ, circ | Angular standard deviation for circular orbit distribution | LogUniform(0.001, 1) |
σρ, radial | Radial standard deviation for radial orbit distribution | LogUniform(0.001, 0.1) |
σΘ, radial | Angular standard deviation for radial orbit distribution | LogUniform(0.001, 1) |
σturb | Normalised standard deviation of turbulent velocities | LogUniform(0.001, 0.1) |
λemit | Central wavelength of the emission line | Norm(2.2896, 0.002 μm) |
fpeak | Peak flux of the normalised line profile | Uniform(0.05, 0.065) |
(xo, yo) | Offset of the origin of the BLR | Uniform(−1, 1 mas) |
Notes. The priors for most parameters are specified here in one of two ways. Uniform(min,max) denotes uniform sampling over the range specified. LogUniform(min,max) indicates that the logarithm of the parameter is sampled uniformly over the logarithm of the range. The prior for the inclination angle (i) is set between 0 and π/2 so that cos i is uniformly sampled between 0 and 1. The prior for the central wavelength of the emission line (λemit) follows a Gaussian distribution centred at 2.2896 μm and with a standard deviation 0.002 μm.
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