That doesn’t jibe with what I understood about the Trojan points. I thought the Trojan points were where the Sun, planetary, and moons gravity cancelled each other out and the objects in them were locked in place. So how can Jupiter throw the comet out again?
They wobble, sometimes moving in elliptical orbits. Maybe in doing so any orbital bodies around them might have their orbits disturbed?
I think you are thinking of LaGrange points.
Each planet also has trojan points relative to its orbits and any moons it might have. I would imagine that the gravitational environment of Jupiter would be pretty darn complex. It has a lot of moons.