Ultraharmonics and Secondary Spiral Wakes Induced by a Planet

Abstract

We investigate the ultraharmonics response of a protoplanetary disk to an orbiting planet. We find that the multi-armed spiral structure can be excited by the higher-order forcing due to nonlinear mode-coupling. In particular, the preferential excitation of gas response with small azimuthal wavenumber $(m\sim 2)$ is a direct consequence of mode-coupling among linear waves. The presence of multiple Fourier components in a planet's potential is a distinct feature compared to the previous studies in the context of spiral galaxies, which turns out to be crucial for the generation of ultraharmonics waves. This analysis may shed light on understanding some results regarding the spiral structures excited by a massive planet.

17 pages, 7 figures, submitted to ApJ. Comments are very welcome

References in corpus (9)

• A comparative study of disc-planet interaction
• Asymmetric features in the protoplanetary disk MWC758
• A tidal encounter caught in the act: modelling a star-disc fly-by in the young RW Aurigae system
• Rossby Wave Instability in three dimensional discs
• Surface Geometry of Protoplanetary Disks Inferred From Near-Infrared Imaging Polarimetry
• Near-IR High-Resolution Imaging Polarimetry of the SU Aur Disk: Clues for Tidal Tails?
• One-armed spirals in locally isothermal, radially structured self-gravitating discs
• Formation of Isothermal Disks around Protoplanets. I. Introductory Three-Dimensional Global Simulations for Sub-Neptune-Mass Protoplanets
• Spiral Density Waves in M81. II. Hydrodynamic Simulations for Gas Response to Stellar Spiral Density Waves

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