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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