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Table A.1
Expressions for the minimum mass nebula scaling used in this article.
Quantity | Description | Equation | Value | |
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m g | Gas molecular mass | 3.9 × 10-24 g | ||
σ g | Gas collisional cross section (H2) | 2 × 10-15 cm2 | ||
μ g | Gas dynamic viscosity (H2) |
~
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M ∗ | Stellar mass | 1.989 × 1033 g | ||
Σg | Gas surface density |
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T | Disk temperature |
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ΩK | Keplerian frequency |
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v K | Keplerian velocity |
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c g | Isothermal sound speed |
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h g | Disk scale height | cg/ ΩK |
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ρ g | Mid-plane gas density |
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ν g | Gas kinematic viscosity (H2) | μ g / ρ g |
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ν t | Gas turbulent viscosity | α c g h g | α × 4.9 × 1016rAU cm2 s-1 | |
η | Sub-Keplerian factor | Eq. (19) |
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λ g | Gas mean free path | m g / σ g ρ g |
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s lim | Epstein to Stokes limiting size | 9/4 λg |
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s max | Stokes to quadratic limiting size | 27λgcg/ (2ηrΩK) |
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τ s | Dimensionless stopping time | Eq. (21) |
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t s | Stopping time | τs/ ΩK |
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Stokes to Epstein orbital distance for τs = 1 |
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τ f | Dimensionless friction time | Eq. (100) |
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R B | Bondi radius | Eq. (81) | ![]() |
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R H | Hill radius | Eq. (80) | ![]() |
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geometrical-Bondi limit | Eq. (82) | ![]() |
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Bondi-Hill limit | Eq. (83) | ![]() |
Notes. rAU ≡ r/ AU; δlim ≡ s/slim; xlim ≡ r/rlim. μg = 8.76 × 10-5 g cm-1 s-1 × 365.85 K/(T + 72 K)(T/ 293.85 K)3/2 (Sutherland’s formula for H2).
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