All Tables

Table 1: Parameters chosen in the different simulations and their results. These parameters are the dimensioning of the grid ( $n_r, n_\vartheta ,n_\varphi$ ), the kind of spacing (lc = logarithmically centered around the planet), the thermodynamics (iso = locally isothermal, rad = ideal gas plus radiation transport, rad+ = ideal gas, radiation transport and conservation of total energy for gas accreted onto planet), the gravitational smoothing radius ( $q_{\rm g}$ = fraction of the Hill radius over that smoothing is applied), the accretion radius ( $q_{\rm acc}$ = fraction of the Roche lobe (respectively Hill radius) that mass is taken out of), the type of the initial model (G: starting with an existing gap), and the total number of orbits calculated ( $t_{\rm int}$ ). The results we give are the accretion rate onto the Planet ( $\dot M$ ) in units of Jupiter masses per orbit, the mass contained in the Roche lobe ( $M_{\rm Roche}$ ), the maximum density and temperature in the Roche lobe ( $\rho _{\rm max}, T_{\rm max}$ ) and the migration time-scale that we determined ( $\tau _{\rm mig}$ ).