Many such would like to, meanwhile, "The most feasible explanation is that icy ring particles raining down onto Saturn's atmosphere cause this heating. This could be due to the impact of micrometeorites, solar wind particle bombardment, solar ultraviolet radiation, or electromagnetic forces picking up electrically charged dust. "All this happens under the influence of Saturn's gravitational field pulling particles into the planet"
Extrapolate the rate from the claimed age of the solar system (4+ billion) and how warm should it be?
Or it 'could' have nothing to do with it at all. I just love scientific fiction writers.
Saturn's rings are nowhere near 4 billion years old.
Additionally, that extra heat does not simply build up indefinitely. It is eventually re-radiated - though the affected area will remain a few degrees higher in temperature than the unaffected areas.
Of course, I give no credence to the explanation proffered by Arthur C. Clarke, concerning an "industrial accident" involving Saturn's moon Japetus.
Regards,