The Minimum Gap-opening Planet Mass in an Irradiated Circumstellar Accretion Disk

Abstract

We consider the minimum mass planet, as a function of radius, that is capable of opening a gap in an $\alpha$-accretion disk. We estimate that a half Jupiter mass planet can open a gap in a disk with accretion rate $\dot M \la 10^{-8} M_\odot$/yr for viscosity parameter $\alpha =0.01$, and Solar mass and luminosity. The minimum mass is approximately proportional to ${\dot{M}}^{0.48}{\alpha }^{0.8}{M}_{\ast }^{0.42}{L}_{\ast }^{-0.08}$. This estimate can be used to rule out the presence of massive planets in gapless accretion disks. We identify two radii at which an inwardly migrating planet may become able to open a gap and so slow its migration; the radius at which the heating from viscous dissipation is similar to that from stellar radiation in a flared disk, and the radius at which the disk has optical depth order 1 in a self-shadowed disk. If a gap opening planet cuts off disk accretion allowing the formation of a central hole or clearing in the disk then we would estimate that the clearing radius would approximately be proportional to the stellar mass.

arXiv commentEight pages, submitted to MNRAS Resubmitting accepted version of the paper

References in corpus (26)

• Spectral Energy Distributions of T Tauri Stars With Passive Circumstellar Disks
• Using FU Orionis Outbursts to Constrain Self-Regulated Protostellar Disk Models
• Accretion Disks around Young Objects. I. The Detailed Vertical Structure
• On the width and shape of gaps in protoplanetary disks
• Evidence for a developing gap in a 10 Myr old protoplanetary disk
• Accretion Disks Around Young Objects. III. Grain Growth
• Flaring vs. self-shadowed disks: the SEDs of Herbig Ae/Be stars
• Photoevaporation of protoplanetary discs II: evolutionary models and observable properties
• A comparative study of disc-planet interaction
• Episodic accretion in magnetically layered protoplanetary discs
• Local Magnetohydrodynamical Models of Layered Accretion Disks
• X-ray irradiation in low mass binary systems
• Measuring Accretion in Young Substellar Objects: Approaching the Planetary Mass Regime
• Analytical protostellar disk models 1: the effect of internal dissipation and surface irradiation on the structure of disks and the location of the snow line around Sun-like stars
• The Truncated Disk of CoKu Tau/4
• Cavity opening by a giant planet in a protoplanetary disc and effects on planetary migration
• Planet migration and gap formation by tidally-induced shocks
• Low-Mass Proto-Planet Migration in T-Tauri Alpha-Disks
• On the Planet and the Disk of CoKuTau/4
• Infrared Signatures of Protoplanetary Disk Evolution
• Dust Coagulation and Settling in Layered Protoplanetary Disks
• Gap Formation by Planets in Turbulent Protostellar Disks
• Type I Migration in a Non-Isothermal Protoplanetary Disk
• Dead Zones and Extrasolar Planetary Properties
• Dead Zones and the Origin of Planetary Masses
• Overcoming migration during giant planet formation

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• Extrasolar planet population synthesis I: Method, formation tracks and mass-distance distribution
• Radial migration of gap-opening planets in protoplanetary disks. I. The case of a single planet
• A Spatially Resolved Inner Hole in the Disk around GM Aurigae
• Intermediate mass black holes in AGN disks II. Model predictions & observational constraints
• Planetary Construction Zones in Occultation: Discovery of an Extrasolar Ring System Transiting a Young Sun-like Star and Future Prospects for Detecting Eclipses by Circumsecondary and Circumplanetary Disks
• Accretion in Evolved and Transitional Disks in Cep OB2: Looking for the Origin of the Inner Holes
• The Masses of Transition Circumstellar Disks: Observational Support for Photoevaporation Models
• Transitional disks and their origins: an infrared spectroscopic survey of Orion A
• From discs to planetesimals I: evolution of gas and dust discs
• Kepler-1656b's Extreme Eccentricity: Signature of a Gentle Giant
• Photoevaporation of the Jovian circumplanetary disk I. Explaining the orbit of Callisto and the lack of outer regular satellites
• Influence of inhomogeneous stochasticity on the falsifiability of mean-field theories and examples from accretion disc modeling