5:15 PM - 6:45 PM
[PPS07-P21] Linear Calculation for Type I Planetary Migration in Thee-dimensional Locally Isothermal Disks
Keywords:planet formation, inward planetary migration, linear calculation
Planetary inward migration due to gravitational interaction with the disk is a serious problem in planet formation. Although many linear calculations and hydrodynamical simulations have been done for this Type I planetary migration, there are still few examples of 3D hydrodynamical simulations, and their accuracy has not yet been verified. Linear calculations are expected to be highly accurate, but only solutions for the case of a completely isothermal disk have been obtained. In this study, we performed linear calculations of Type I planetary migration for a disk with a radial temperature gradient (local isothermal disk). We obtained the value of the torque on the planet. It was also confirmed that, in radially non-isothermal disks, the density waves diverge at corotation, which is an irregular singular point of the wave equation, but does not affect the torque. Comparisons of the results of the three-dimensional linear calculation with previous three-dimensional and two-dimensional hydrodynamical simulations are presented, as well as a discussion of the three-dimensional hydrodynamical simulations to be performed in the future.