Herschel survey of brown dwarf disks in ρ Ophiuchi

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Table 2

Range of validity from the Bayesian inference for the disk model parameters.

Identifier	M _BD ^a	Inclination	Dust mass	R _in	h₀@100AU^b	β ^b	p ^b	amax

	(M_Jup)	(°)	Log₁₀(M/M_⊙)	(AU)				(μm)

GY92 154	75...121	41 [0:46]	−4 [−6:−4]	0.0354 [0.0096:0.0679]	10 [10:20]	1.1 [1.1:1.15]	−1.5 [−1.5:−1.5]	1000 [1:1000]
GY92 171	75...121	32 [0:60]	−4.5 [−7:−5]	0.0184 [0.0096:0.0354]	10 [10:20]	1.0 [1.0:1.1]	−1.5 [−1.5:−0.5]	1000 [1:1000]
GY92 204	75...121	63 [0:66]	−5 [−5:−5]	0.0354 [0.0184:0.0354]	15 [10:20]	1.15 [1.0:1.15]	−1.5 [−1.5:−1.0]	1 [1:1]
ISO-Oph 160	75...121	70 [0:66]	−5 [−6.5:−4]	0.005 [0.005:0.0679]	15 [10:20]	1.05 [1.05:1.15]	−0.5 [−1.5:−0.5]	1000 [1:1000]
GY92 371AB	75...121	70 [26:76]	−6.5 [−7:−5]	0.0184 [0.0095:0.0354]	10 [10:15]	1.0 [1.0:1.05]	−1 [−1.5:−1.0]	1 [1000:1000]
GY92 397	75...121	18 [0:60]	−5 [−6.5:−4.5]	0.005 [0.0096:0.0679]	20 [10:20]	1.0 [1.05:1.15]	−0.5 [−1.5:−0.5]	1 [1:1000]
ISO-Oph 193	75...121	18 [0:53]	−4.5 [−7:−5]	0.005 [0.005:0.0679]	15 [10:20]	1.0 [1.05:1.15]	−0.5 [−1.5:−0.5]	1 [1:1000]
CFHTWIR-Oph 66	25...48	87 [84:90]	−6.5 [−7:−6]	0.0679 [0.0096:0.2500]	15 [15:20]	1.2 [1.1:1.2]	−1 [−1.5:−0.5]	1000 [1000:1000]
GY92 3	20...40	41 [0.0:53]	−5.5 [−6:−4]	0.0184 [0.0096:0.0354]	20 [15:20]	1.05 [1.0:1.1]	−1 [−1.5:−0.5]	1 [1:1000]
GY92 264	20...40	32 [0.0:53]	−6 [−6.5:−4]	0.0184 [0.0184:0.0354]	20 [15:20]	1.1 [1.0:1.15]	−1.5 [−1.5:−0.5]	1 [1:1000]
GY92 310	15...30	32 [0.0:46]	−5 [−5:−4]	0.0184 [0.005:0.1303]	20 [15:20]	1.1 [1.1:1.1]	−1.5 [−1.5:−1.5]	1 [1:1000]

Notes. In Cols. 3 to 9, the first number corresponds to the model plotted in Fig. 2.

^(a)

Masses were derived by converting the spectral types from Table 1 to temperature using the empirical relation from Luhman et al. (2003), and the Dusty evolutionary models (Chabrier et al. 2000). The range in masses denotes a typical error in spectral classification of half a sub-spectral type.

^(b)

In MCFOST, the scale height and the dust surface density are treated as power-law distributions of the form h(r) = h₀(r/r₀)^β and Σ(r) = Σ₀(r/r₀)^− p, respectively, where r is the radial coordinate in the disk plane, and h₀ is the scale height at a fiducial radius at 100 AU.

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