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Table 1
Breakdown of the expressions and parameters involved in the pebble accretion efficiency.
| Expr. | Dependence | Description and reference |
|---|---|---|
| or definition | ||
| εset | ε2D, ε3D | settling efficiency, Eq. (40) |
| ε2D | A2, Δvy, fset | settling efficiency in 2D limit, Eq. (39a) |
| ε3D | A3, heff, fset | settling efficiency in 3D limit, Eq. (39b) |
| fset | Δv, σP, v*, aturb | settling fraction, Eq. (35) |
| Δvy | vcir, vecc | azimuthal approach velocity, Eq. (28) |
| Δvz | ai | vertical approach velocity, Eq. (31) |
| v* |  |
critical settling velocity |
| vcir | acir, ash | circular velocity, Eq. (29) |
| vecc | ae | eccentric velocity, Eq. (30) |
| heff | ip, hP | effective aspect ratio, Eq. (27) |
| hP | αz, tcorr | pebble aspect ratio, Eq. (15) |
| A2 | 0.32 | fit constant |
| A3 | 0.39 | fit constant |
| acir | 5.7 | fit constant |
| ae | 0.76 | fit constant |
| ai | 0.68 | fit constant |
| aset | 0.5 | fit constant |
| ash | 0.52 | fit constant |
| aturb | 0.33 | fit constant |
| αz | turbulent diffusivity | |
| η | disk radial pressure gradient parameter, Eq. (6) | |
| τs | tstopΩ | dimensionless stopping time |
| σP | (σx, σy, σz) | pebble rms velocity (Eq. (33)) |
| ep | planet eccentricity | |
| hgas | Hgas∕r | disk aspect ratio |
| ip | planet inclination | |
| qp | Mpl∕M⋆ | planet-to-star mass ratio |
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