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Figure 1: Model CI: snapshots taken every 26 orbits from t=60 to t=320 orbits, which is after the convergence of model CI. The radial slices of the density, temperature and azimuthal velocity are taken in the midplane at the location of the planet. Model CI defines the initial values for all the models that start off with an axisymmetric gap. |
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Figure 2: Model CDI: snapshots taken every 2 orbits from t=164 to t=184 orbits. The radial slices of the density are taken in the midplane at the location of the planet. The surface density is azimuthally averaged. |
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Figure 3:
Model CDI: ( upper row) accreted mass ![]() ![]() ![]() ![]() |
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Figure 4: Model CDI: evolution of planet migration rate in terms of migration time. The solid curve is based on the torques excluding the Roche lobe and the solid horizontal line is the time average. In addition we plot the torques based on an exclusion of 1.5 and 0.5 Hill radii (dotted and dashed lines respectively). In this particular model the gap is very clean, such that all three torques mostly coincide. |
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Figure 5: Model CD4I: snapshots taken each orbit from t=71 to t=81 orbits. The radial slices of the density are taken in the midplane at the location of the planet. The surface density is azimuthally averaged. The dotted line indicates the values for model CDI for comparison. |
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Figure 6: Model CD4: snapshot at t=5 orbits after the refinement of the grid. Radial slices of density and temperature are taken in the midplane at the location of the planet, while surface density is the azimuthal average. (solid line = Model CD4; dotted line = Model CD; dashed line = Model CDS). |
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Figure 7: Model CD: evolution of the planet migration rate in terms of migration time. The solid curve is based on the torques excluding the Roche lobe and the solid horizontal line is the time average. In addition we plot the torques based on an exclusion of 0.5 Hill radii (dotted lines) and 1.5 Hill radii (dashed lines). The horizontal lines refer to the time averaged values. |
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Figure 8:
Model DR4: early stage of gap opening. Temperature in the ![]() ![]() |
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Figure 9: Model DR: snapshot taken after t=121 orbits (solid line). Model DR4: after t=141 orbits (dotted line). Model DN: after t=121 orbits (dashed line). Model DN4: snapshot taken after t=55 orbits (dash dotted line). Radial slices of density and temperature are taken in the midplane at the location of the planet, while surface density is the azimuthal average. |
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Figure 10:
Model DR: ( upper row) accreted mass ![]() ![]() ![]() ![]() |
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Figure 11: Model DR: evolution of planet migration rate in terms of migration time. The solid curve is based on the torques excluding the Roche lobe and the solid horizontal line is the time average. In addition we plot the torques based on an exclusion of 0.5 Hill radii (dotted lines) and 1.5 Hill radii (dashed lines), plus the time averaged values. |
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Figure 12:
Model DR: density in the midplane of the protoplanetary disk after 121 orbits.
Dark means low, light means high density. The density ranges
from
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Figure 13: Model DR: temperature in the midplane of the protoplanetary disk after 121 orbits. Brightness corresponds to the logarithm of temperature. Black indicates 10 K and white 800 K. See the online edition for a color version of this plot. |
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Figure 14: Model DR4: pressure scale height in the midplane of the circumplanetary cloud after 141 orbits. Radial location is given in units of Hill radii. |
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Figure 15:
Model DR4: Temperature in the ![]() |
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