NOTES
Earlier, I mentioned the gravity of the Ring itself. The complete calculation requires some calculus, but there’s an easier calculation to get an upper bound – the gravity due to an infinite plate is given by this formula, which for the Ring would give this result (note that for an infinite plate, the gravitational effect is the same regardless of how far from the plate you are). This is a pretty small gravity for an object that weighs as much as Jupiter, but while Jupiter’s volume is about 1.4*1015 km3, the ring is spread out over a volume 10 billion times larger.