Migration and Resonance Crossing (Tsiganis et al.)
So this works, but is there any observational evidence that it happened?
- We found that we can solve this problem if Jupiter and Saturn crossed 1:2 MMR.
- Thus, we believe that the migration proceeded as follows:
- System is initially compact with Saturn inside of 1:2 MMR and a massive disk beyond planets.
- Jupiter and Saturn diverge until they hit the 1:2 MMR.
- The resonance excites the eccentricity of both Jupiter and Saturn
Uranus and Neptune go unstable.
- Uranus and/or Neptune scatter off of Saturn, keeping its eccentricity large.
- Uranus and Neptune settle to current orbits due to dynamical friction with the disk.
- This process reproduces the orbital elements of the giant planets fairly well.
- We put an edge to the disk near 30AU, which determines Neptune's location.
- I will justify this in the Kuiper belt section.
- Results are only sensitive to one free parameter - disk mass.
- Needs a disk of about 35ME.