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

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Abstract: We consider the minimum mass planet, as a function of radius, that is capableof opening a gap in an $\alpha$-accretion disk. We estimate that a half Jupitermass 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 andluminosity. The minimum mass is approximately proportional to $\dot M^{0.48}\alpha^{0.8} M *^{0.42} L *^{-0.08}$. This estimate can be used to rule out thepresence of massive planets in gapless accretion disks. We identify two radiiat which an inwardly migrating planet may become able to open a gap and so slowits migration; the radius at which the heating from viscous dissipation issimilar to that from stellar radiation in a flared disk, and the radius atwhich the disk has optical depth order 1 in a self-shadowed disk. If a gapopening planet cuts off disk accretion allowing the formation of a central holeor clearing in the disk then we would estimate that the clearing radius wouldapproximately be proportional to the stellar mass.

Autor: Richard G. Edgar, Alice C. Quillen, Jaehong Park

Fuente: https://arxiv.org/