Table 2
Collected efficiency expressions used in recent studies.
| Limit | 2D/shear | 3D | i = e∕2 ≫ hP |
|---|---|---|---|
| Leading term ε |  |
qp∕ηhP | qp∕ηiP |
| This work/Paper I | 0.23 | 0.39 | 0.31 |
| Chambers (2014)a | 0.31 | 0.5 | 0.5 |
| Morbidelli et al. (2015)b | 0.36 | 0.33c | |
| Ida et al. (2016)d | 0.46 | 0.40 |
Notes. In comparing the expressions we adopt the shear-dominated velocity regime in the 2D limit (massive planets). (a) Using their Eqs. (1), (29) and (31). (b)In the 2D limitthe expression followed Lambrechts & Johansen (2014). Bitsch et al. (2015) also adopts these expressions. (c) Did not obtain the correct leading term in the case when the approach velocity was given by the Keplerian shear. (d) Their Eq. (59).
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