lec14-15_31oct2011

lec14-15_31oct2011 - What effects do 1-10 MEarth cores have...

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Ge/Ay133 What effects do 1-10 M Earth cores have on the surrounding disk? Today = Gaps Wednesday = Migration (included here)
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Disks can be unstable globally: Toomre’s criterion Q ≡ κ c/( π G Σ29 < 1 ( axisymmetric perturbations) κ = epicyclic frequency
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Disks can be unstable globally: κ 2 = r -3 d/dr[(r 2 Ω29 2 ] Ι n a Keplerian disk, where 2 = GM/r 3 , κ 2 = Ω 2 κ = epicyclic frequency S. Corder et al. 2005, OVRO 2" AB Aur
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Local resonances can propagate globally !
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Linblad resonance equations:
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Inner/outer tidal torque, f≈ 0.2 (const.) Torque from the viscous disk. Balance torques from tides and viscous response, or…
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Look at time to open a gap as compared to the viscous response time scale of the disk gas. Find: Planet mass needed to open gap:
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To clear the inner disk, How big can gaps grow?
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Local resonances can propagate globally ! Gas accretion can drive global structures in the disk.
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propagate globally ! Sufficiently large planets can create gaps, but
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lec14-15_31oct2011 - What effects do 1-10 MEarth cores have...

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