also, what would be even awesomer would be to have a second ring that shows a proportional gravitational effect, calibrated so the sun's ring marks out the same as pluto's orbit, roughly, and then apply the same distance versus mass to generate the rings for each planet, and draw these as a 10% opacity ring around all of the planets so you can actually see the interaction of the gravity effects

for extra bonus points, there is magnetic fields around each planet and the shape of it is altered by their rotational tilt and in fact each planet has a primary-secondary magnetic field axis, they call them "geomagnetic anomaly" and ours here on earth marks out a weak second pole that cuts through about between japan and phillipines and across to somewhere in the carribean

having both the gravitational overlay and the magnetic overlay would be extremely indicative of the chances of things to happen i think

gravity is definitely important, but so is magnetic field, but only our planet and everything larger has one - but the smaller planets, mars, venus, mercury, have field induction, they are just smaller

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The gravitational Hill-Sphere is fun. But it isn't centered on the planet. I know that isn't exactly what you are talking about but the Hill sphere indicates where a particular is the dominant gravitational force.

oh yeah, that would be like the summation of the fields of multiple objects, it would be pretty