JPL announced the stop of the Ulysses mission recently . It is orbiting the sun in a higly inclinated orbit bringing it over the suns poles .  
In the baut-forum someone analysed the JPL Horizons data and came with the result the spacecraft will have a close encounter with Jupiter in 2098 ...As a result the spacecraft might be ejected out of our solarsystem . ( I don't know if JPL announced this fact itself ). Reason to start a simulation .  
Animation herunder is generated with frames 6.2 years apart . Visible are Jupiter / Mars and Earth .  
In 2098 the spacecraft indeed makes a close approach with Jupiter , changing its orbit dramatically , but I wasn't able to get an ejection .

Partly due to its Earths origin and gravity boost with Jupiter the Ulysses spacecraft is in a near 1:2 resonance with Jupiter . Animated herunder is the spacecrafts orbit in rotating frame to Jupiter ( Jupiter being at 7 'o clock ) . Frames are 6.5 years apart . The craft orbits in a rather unusual pattern until it gets out of its resonance in 2098...
Edit : I changed the animation to 12.8 years  

Nice animation, Frank!
 
Have you tried getting the data just prior to the 2098 ejection and seeing if you can get an ejection that way?  Perhaps forces not considered effect the ability to accurately propogate the spacecraft 90 years into the future and still pass Jupiter at the precise distance for an ejection.  Spacecraft have very low densities, and may be affected by light pressure.

An animation as a side product of the Ulysses animation I think I should share  ... Staying on Jupiter and looking towards the sun one can  see Mercury performing its orbit around the sun . The wobbling effect is due to the changing point of view . One frame covers 0.5 years.