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So I ended up using a follower in the Object, and put the tag in the center of the sphere. I used a trigger zone to get the distance to the center of the sphere, and used the square of that to adjust the strength of the mover to simulate gravity. This ended up giving me a nice orbital effect.
Some problems I ran into:
1.) Tags output the location of the tag in the scene, while followers move using the objects location. For a different thing I was working on, it would be useful to be able to access the location of the object since it can be hard to find its origin and put a tag there. Another way is to get the difference between the objects location using a mover and the tag's location, and combine that with the tag's location to get a little offset variable.
2.) I tried to make an object have the same angular orientation of another object. Tags can output their axis information in degrees but currently there doesn't appear to be a rotator that takes an orientation as an input. The closest thing I saw was the Look-At rotator, which uses a unit vector as input/output, but doesn't match on all axes. I also tried using the Advanced rotator to make a sort of 'Angle corrector' that would change speed on each axis depending on how close it was to being the right angle. Unfortunately I couldn't get it working, but if I messed around with it more I might be able to. An option under one of the rotators to input orientation would be very useful.
If I can get this working I should be able to make objects that stick to eachother, maybe even a little Katamari.