Interesting link. I wonder how that actually went down, since Jupiter and the other gas giants have relatively circular orbits. Is it just the gravity exchange of all the planets together? Quite difficult maneuver to just adjust your orbit height I would think.
Edit: Basically, the gas giants started really close into the sun but later moved outwards. We see a lot of other systems with gas giants close into their suns right now. In the Nice model, the larger gas giants had their orbits move slowly outwards, causing havoc in our system. This is possibly when the Moon was formed. It's still a lively debate, as we have not yet found Planet X yet.