# Nonlinear Propagation of Planet-generated Tidal Waves

@article{Rafikov2002NonlinearPO, title={Nonlinear Propagation of Planet-generated Tidal Waves}, author={Roman R. Rafikov}, journal={The Astrophysical Journal}, year={2002}, volume={569}, pages={997 - 1008} }

The propagation and evolution of planet-generated density waves in protoplanetary disks is considered. The evolution of waves, leading to shock formation and wake dissipation, is followed in the weakly nonlinear regime. The 2001 local approach of Goodman and Rafikov is extended to include the effects of surface density and temperature variations in the disk as well as the disk cylindrical geometry and nonuniform shear. Wave damping due to shocks is demonstrated to be a nonlocal process spanning…

## 51 Citations

Planet Migration and Gap Formation by Tidally Induced Shocks

- Physics, Geology
- 2002

Gap formation in a gas disk triggered by disk-planet tidal interaction is considered. Density waves launched by the planet are assumed to be damped as a result of their nonlinear evolution leading to…

DENSITY WAVES EXCITED BY LOW-MASS PLANETS IN PROTOPLANETARY DISKS. II. HIGH-RESOLUTION SIMULATIONS OF THE NONLINEAR REGIME

- Physics
- 2011

We investigate numerically the propagation of density waves excited by a low-mass planet in a protoplanetary disk in the nonlinear regime, using two-dimensional local shearing box simulations with…

Disk Accretion Driven by Spiral Shocks

- Physics, Geology
- 2017

Spiral density waves are known to exist in many astrophysical disks, potentially affecting disk structure and evolution. We conduct a numerical study of the effects produced by a density wave,…

Density Waves Excited by Low-Mass Planets in Protoplanetary Disks I: Linear Regime

- Physics, Geology
- 2011

Density waves excited by planets embedded in protoplanetary disks play a central role in planetary migration and gap opening processes. We carry out two-dimensional shearing sheet simulations to…

PARTICLE CONCENTRATION AT PLANET-INDUCED GAP EDGES AND VORTICES. I. INVISCID THREE-DIMENSIONAL HYDRO DISKS

- Physics, Geology
- 2014

We perform a systematic study of the dynamics of dust particles in protoplanetary disks with embedded planets using global two-dimensional and three-dimensional inviscid hydrodynamic simulations.…

Ultraharmonics and Secondary Spiral Wakes Induced by a Planet

- Physics, Geology
- 2016

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…

Protoplanetary Disk Heating and Evolution Driven by the Spiral Density Waves

- Physics, Geology
- 2016

Scattered light imaging of protoplanetary disks often reveals prominent spiral arms, likely excited by massive planets or stellar companions. Assuming that these arms are density waves, evolving into…

GLOBAL MHD SIMULATIONS OF ACCRETION DISKS IN CATACLYSMIC VARIABLES. I. THE IMPORTANCE OF SPIRAL SHOCKS

- Physics
- 2016

We present results from the first global 3D MHD simulations of accretion disks in cataclysmic variable (CV) systems in order to investigate the relative importance of angular momentum transport via…

Planet–Disk Interaction in Disks with Cooling: Basic Theory

- Physics, GeologyThe Astrophysical Journal
- 2020

Gravitational coupling between young planets and their parent disks is often explored using numerical simulations, which typically treat the disk thermodynamics in a highly simplified manner. In…

Planetary Migration in Protoplanetary Disks.

- Physics, Geology
- 2018

The known exoplanet population displays a great diversity of orbital architectures, and explaining the origin of this is a major challenge for planet formation theories. The gravitational interaction…

## References

SHOWING 1-10 OF 33 REFERENCES

Planet Migration and Gap Formation by Tidally Induced Shocks

- Physics, Geology
- 2002

Gap formation in a gas disk triggered by disk-planet tidal interaction is considered. Density waves launched by the planet are assumed to be damped as a result of their nonlinear evolution leading to…

The Effect of an Isothermal Atmosphere on the Propagation of Three-dimensional Waves in a Thermally Stratified Accretion Disk

- Physics, Geology
- 1999

We extend our analysis of the three-dimensional response of a vertically polytropic disk to tidal forcing at Lindblad resonances by including the effects of a disk atmosphere. The atmosphere is…

Radiatively Damped Density Waves in Optically Thick Protostellar Disks

- Physics
- 1996

The redistribution of angular momentum and mass in circumstellar disks by spiral density waves is governed by processes that dissipate the waves. Dissipation is usually attributed to unspecified…

Wave propagation in gaseous accretion disks

- Physics, Geology
- 1990

Linear wave propagation is studied in geometrically thin accretion disks where the equilibrium variables, such as density and temperature, are stratified in the direction normal to the plane of the…

Planetary Torques as the Viscosity of Protoplanetary Disks

- Physics, Geology
- 2001

We revisit the idea that density wave wakes of planets drive accretion in protostellar disks. The effects of many small planets can be represented as a viscosity if the wakes damp locally but the…

Orbital migration of protoplanets - The inertial limit

- Physics, Geology
- 1989

The dynamical evolution of a disk and the orbital migration of an embedded protoplanet are examined. It is shown how the migration of a protoplanet due to density wave torques can suppress the…

Nonlinear Evolution of the Magnetorotational Instability in Ion-Neutral Disks

- Physics
- 1998

We carry out three-dimensional magnetohydrodynamical simulations of the magnetorotational (Balbus-Hawley) instability in weakly ionized plasmas. We adopt a formulation in which the ions and neutrals…

Viscous damping in self-gravitating accretion discs

- Physics
- 1996

A two-dimensional numerical hydrodynamics code is developed to model viscous accretion discs, employing the method of smoothed particle hydrodynamics. The effective shear viscosity present in the…

Protoplanet Migration by Nebula Tides

- Geology, Physics
- 1997

Abstract The tidal interaction of a protoplanet with a circumstellar gaseous disk results in mutual angular momentum exchange that modifies both the disk and the orbit of the secondary. There are…