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Table B.3

Model parameters and results for M⋆, f = 1 M

Parameter 104 5 × 104 105 [yr] 2 × 105 3 × 105 5 × 105 106 5 × 106 107 Description
[yr] [yr] [yr] [yr] [yr] [yr] [yr] [yr] [yr]
L [L] 0.08 1.19 1.85 3.22 3.22 3.22 2.02 0.65 0.46 Protostellar luminosity
Lacc [L] 24.8 33.2 27.4 8.5 2.3 0.1 2 × 10−4 0 0 Accretion luminosity
T [K] 2945 3849 4111 4397 4397 4397 4379 4310 4363 Protostellar effective temperature
M [M] 0.11 0.46 0.73 0.96 1.02 1.04 1.04 1.04 1.04 Protostellar mass
Menv [M] 0.34 0.19 0.10 0.02 6 × 10−3 4 × 10−4 4 × 10−7 0 0 Envelope mass in 2500 au
R [R] 1.1 2.5 2.7 3.1 3.1 3.1 2.5 1.4 1.2 Protostellar radius
ϵ 0.3 0.3 0.2 0.2 0.2 0.2 0.1 0.1 0.1 Initial value of H/R
Mdisk [M] 0.02 0.02 0.01 0.01 0.01 0.01 0.001 0.001 0.001 Disk mass
Tmid−plane [K] 436 366 275 139 71 38 40 38 31 Mid-plane temperature at 1 au
H/R 0.044 0.040 0.035 0.025 0.017 0.011 0.013 0.013 0.012 H/R at 1 au
Mgap [M] 13 10 7 2 1 0.5 0.4 0.3 0.3 Min gap-opening planet mass at 1 au
Tmid−plane [K] 140 166 156 100 70 43 48 38 36 Mid-plane temperature at 10 au
H/R 0.077 0.084 0.081 0.065 0.054 0.043 0.045 0.040 0.039 H/R at 10 au
Mgap [M] 73 94 85 44 25 12 15 10 9 Min gap-opening planet mass at 10 au

Notes. The parameters used for the radiative transfer models (top block) and the results of the models assuming Rdisk = 50 au and small dust grains (bottom two blocks) for the case of M⋆, f = 1 M. Values below 10−10 are given as zero. Initial envelope mass, Menv, 0, and the time required for the protostar to accrete half of its mass, tH, are taken as 0.39 M and 5 × 104 yr. For all models, the centrifugal radius (Rc) was assumed as 50 au, and the inner and outer radii of the grid are set to 0.4 au and 150 au. All models were run once with a disk radius (Rdisk) of 50 au and once with Rdisk of 100 au.

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