The subsection Mercury–Jupiter 1:1 perihelion-precession resonance in the Wikipedia article Stability of the Solar System links to the article Solar system could go haywire before the Sun dies in the NewScientist, which references two articles that were still in press back in 2008 when it was published.
More time (both people-time and CPU-time) has passed. In 2016, is there still thought to be a 2% chance that when Jupiter increases Mercury's eccentricity beyond 0.6, it could get ejected?
I bring this up because the question of weather an orbit is "stable" or "unstable" always dances around the fact that many things are really in the middle ground - stable for months, or eons, but not necessarily actually stable in the sense that two masses orbiting in an otherwise totally empty Euclidian non-relativistic universe would be gravitationally stable. Put a handful (or more) bodies in orbit and chaotic behavior can arise.
So I'm looking for a good example of "stability is an illusion" loosely speaking, and Mercury is the best one I can think of at the minute - only I'm stuck in Wikipedia in 2008.
Has there been any further analysis?