As a tribute to the spacecraft Ulysses which will be put on rest ...
The most beautiful animation I found here :
http://www.esa.int/esaSC/SEMAGTUG3HF_index_1.html Simulating the Galilean Moons with GravSim and postprocessing the data in 3D gives the following picture:
Viewpoint is the sun .
Simulation is run reversed and goes back to the time where Ulysses made its close flyby with Jupiter in order to pump it on a higly inclinated orbit aroud the sun . Timespan is mor than 15 years.
In reality Ulysses came from the bottom of the screen , encounters Jupiter and gets in its high inclination orbit .