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Table 1
Parameterization of the circumplanetary disk as described in Heller & Pudritz (2015).
| Symbol | Meaning | Fiducial value |
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| Constant or parameterized planetary disk parameters | ||
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| r | distance to the planet | |
| RH | planetary Hill radius | |
| rcf | centrifugal radius | |
| rc | transition from optically thick to optically thin (viscously spread) outer part | 27.22 / 22 × rcf a |
| rd | outer disk radius | RH/ 5 bc |
| Λ(r) | radial scaling of Σ(r) | |
| Tm(r) | midplane temperature | |
| Ts(r) | surface temperature | |
| Σ(r) | gas surface density | |
| h(r) | effective half-thickness | |
| ρ0(r) | gas density in the midplane | |
| ρs(r) | gas density at the radiative surface level | |
| zs(r) | radiative surface level, or photospheric height | |
| qs(r) | vertical mass coordinate at the radiative surface | |
| cs(Tm(r)) | speed of sound | |
| α | viscosity parameter | 0.001d |
| ν(r,Tm) | gas viscosity | |
| Γ | adiabat exponent, or ratio of the heat capacities | 1.45 |
| χ | dust enrichment relative to the protostellar, cosmic value | 10c |
| Xd | dust-to-mass fraction | 0.006 ef |
| μ | mean molecular weight of the H/He gas | 2.34 kg / mol g |
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| Variable planetary disk parameters | ||
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| κP | Planck mean opacity | 10-3−10-1 m2 kg-1 h |
| ks | fraction of the solar radiation flux contributing to disk heating at z ≤ zs | 0.1−0.5 c |
| Ṁshut | shutdown accretion rate for moon formation | 100,10,1 MGan/ Myr |
Notes. See Heller & Pudritz (2015) and additional references for details about the respective parameter values or ranges.
Reference.
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