Left panel: timescales for the 5-M_♃ example of Sect. 4 studied in this appendix. The timescales are, from top to bottom in the legend, the accretion timescale τ_acc = M/ (Ṁ_XY + Ṁ_Z); Kelvin-Helmholtz time τ_KH = E_tot/L_int; local impact timescale from Eq. (C.28), using the geometric mean of ℓ_ρ and ℓ_Sedov; global and eddy mixing times given by Eq. (C.21); global impact timescale given by Eq. (C.24); and cooling time of the region affected by one impact, τ_cool = E_impact/L_int. Right panel: relevant lengthscales: from top to bottom, total radius R; (outer) radiative-convective boundary; radius of maximal energy deposition R_maxE; core radius R_core; size of a convective eddy at R_maxE, which is equal to the pressure scale height since α_MLT = 1; size of the Sedov blast wave estimate ℓ_Sedov; size of the density-contrast estimate ℓ_ρ; and the size (diameter) of the planetesimals.