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Table A.1
List of notations.
Symbol | Description |
---|---|
ε3D or ε2D | 3D or 2D pebble accretion efficiency (probability of capture) |
ε0 | Pebble accretion efficiency for planets on circular orbits |
εset | Pebble accretion efficiency in the settling regime |
εbal | Pebble accretion efficiency in the ballistic regime |
A2D | Prefactor of pebble accretion efficiency in 2D |
am | Acceleration for type I migration |
ae | Acceleration for the eccentricity damping |
ap | Planet semimajor axis |
b | Impact parameter in the local frame |
bset | Accretion radius in the settling regime |
bbal | Accretion radius in the ballisitc regime |
ep | Planet eccentricity |
eeq | Equilibrium eccentricity at resonance |
Ωp | Keplerian angular velocity at planet’s location |
η | Headwind prefactor |
Σgas | Gas surface density |
ΣP | Pebble surface density |
ρgas | Gas volume density |
ρP | Pebble volume density |
fset | Attenuation factor |
Hgas | Gas disk scaleheight |
HP | Pebble disk scaleheight |
hgas | Gas disk aspect ratio |
hP | Pebble disk aspect ratio |
Mp | Planet mass |
Mp,sio | Pebble isolation mass |
M⋆ | Star mass |
Nhit | Number of pebbles hit onto the planet in the global simulation |
Ntot | Total number of pebbles initially given in the global simulation |
P | gas disk pressure |
qp | Mass ratio between the planet and the star |
RH | Hill radius of the planet |
RBondi | Bondi radius of the planet |
Rp | Planet physical radius |
rp | Distance between the planet and the central star |
r | Distance between the pebble and the central pebble |
tstop | Stopping time of the pebble |
tsyn | Synodical time of the pebble |
τm | Type I migration timescale |
τe | Eccentricity damping timescale |
τs | Dimensionless stopping time (τs = tsΩK) |
vesc | Planet escape velocity |
v* | Transition velocity from the settling regime to the ballistic regime |
vr | Radial drift velocity of the pebble |
vϕ | Azimuthal velocity of the pebble |
vhw | Headwind velocity of disk gas |
vsh | Keplerian shear velocity between the planet and the pebble |
vecc | Relative velocity between a planet on an eccentric and a circular orbit |
vcir | Relative velocity between the pebble and the planet on a circular orbit |
vK | Keplerian velocity at planet’s location |
Ṁ PA | Pebble mass accretion rate onto the planet |
Ṁ disk | Pebble mass flux in the disk |
Δrp | Distance between the pebble and the planet |
Δv | Relative velocity between the pebble and the planet |
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