lec14_30oct2009

Lec14_30oct2009 - What effects do 1-10 MEarth cores Jovian planets have on the surrounding disk Or Migration Gaps Ge/Ay133 Disks can be unstable

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
Ge/Ay133 What effects do 1-10 M Earth planets have on the surrounding disk? Or, … Migration & Gaps
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Disks can be unstable globally: Toomre’s criterion Q ≡ κ c/( π G Σ29 < 1 ( axisymmetric perturbations) κ = epicyclic frequency
Background image of page 2
Disks can be unstable globally if M disk /M * ≥h/r. Locally? 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 Need to look at Q.
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Local resonances can propagate globally !
Background image of page 4
Linblad resonance equations:
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Inner/outer tidal torque, f≈ 0.2 (const.) Torque from the viscous disk. Balance torques from tides and viscous response, or…
Background image of page 6
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:
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
To clear the inner disk, How big can gaps grow?
Background image of page 8
propagate globally ! Gas accretion can drive global structures in the disk.
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 10
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/03/2012 for the course GEL 133 taught by Professor List during the Fall '10 term at Caltech.

Page1 / 24

Lec14_30oct2009 - What effects do 1-10 MEarth cores Jovian planets have on the surrounding disk Or Migration Gaps Ge/Ay133 Disks can be unstable

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online