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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, 1010M)
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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