Fly thru the center of Jupiter you say? I think I'll pass. - 30,000ºC, gravity compressed liquid metal hydrogen with a rocky iron molten core at pressures of 100 million Earth atmospheres, with a magnetic and electrical force that extends to the orbit of Saturn. No one, that I know of, has ever calculated what the magnetic and electrical properties would be like the core, but you would not survive it. Hell, sheer absolute hell!
Nope, no place I want to go anywhere near.
I have no idea now who wrote it, but i recall a sci-fi book from many years ago describing a construction project on Jupiter... working a crane and scaffold a hundred miles high over the surface... huge winds... gravity... electrical effects, etc.
It is a bit sad sometimes when we find out so much about one of these monsters that we have to discard the romantic stories and possibilities... although... who knows what engineering feats we will be able to accomplish a thousand years hence?