Stability of Jupiter-core-core-Saturn System

• Rest of disk goes away.
  
  
• The resulting Jupiter-core-core-Saturn can be stable for a long time.

Our test:

• Moved Saturn to 10AU to get away of the 5:2 resonance.
  (OK since Saturn moves around after instability.)
• Put cores at 6.6AU and 8.3AU.
• Initial eccentricity of Saturn and cores was zero.
• Initial eccentricity of Jupiter between 0 and 0.05 (current value).
• Did 4 runs using the Wisdom-Holman Map.
  • Found lifetimes from 100Myr to 3Gyr.
  • This spread includes 700Myr, which is the rough date of the LHB.

Jupiter-core-core-Saturn lasts for 700Myr and then goes unstable.