Three-Dimensional Disk-Satellite Interaction: Torques, Migration, and Observational Signatures

Abstract

The interaction of a satellite with a gaseous disk results in the excitation of spiral density waves which remove angular momentum from the orbit. In addition, if the orbit is not coplanar with the disk, three-dimensional effects will excite bending and eccentricity waves. We perform three-dimensional hydrodynamic simulations to study nonlinear disk-satellite interaction in inviscid protoplanetary disks for a variety of orbital inclinations from $0^{\circ }$ to $180^{\circ }$. It is well known that three-dimensional effects are important even for zero inclination. In this work we (1) show that for planets with small inclinations (as in the Solar system), effects such as the total torque and migration rate strongly depend on the inclination and are significantly different (about 2.5 times smaller) from the two-dimensional case, (2) give formulae for the migration rate, inclination damping, and precession rate of planets with different inclination angles in disk with different scale heights, and (3) present the observational signatures of a planet on an inclined orbit with respect to the protoplanetary disk. For misaligned planets we find good agreement with linear theory in the limit of small inclinations, and with dynamical friction estimates for intermediate inclinations. We find that in the latter case, the dynamical friction force is not parallel to the relative planetary velocity. Overall, the derived formulae will be important for studying exoplanets with obliquity.

12 pages, 9 figures, accepted by MNRAS

References in corpus (8)

• Vortex generation in protoplanetary disks with an embedded giant planet
• On the evolution of eccentric and inclined protoplanets embedded in protoplanetary disks
• Evolution of Migrating Planets Undergoing Gas Accretion
• Interaction between massive planets on inclined orbits and circumstellar discs
• The gravitational interaction between planets on inclined orbits and protoplanetary disks as the origin of primordial spin--orbit misalignments
• Highly inclined and eccentric massive planets. II. Planet-planet interactions during the disc phase
• Disk-satellite interaction in disks with density gaps
• Disk Accretion Driven by Spiral Shocks

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• The GRAVITY young stellar object survey -- XI. Probing the inner disk and magnetospheric accretion region of CI Tau
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• Pushing the limits of eccentricity in planet-disc interactions
• Simulation of the Free Fall of a Gas Stream on a Protoplanetary Disk
• Observable scattered light features from inclined and non-inclined planets embedded in protoplanetary discs
• Linear bending wave propagation in laminar and turbulent discs
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