Stable ringworld interactivity with other solar system objects

I thought of two questions regarding ringworld structures in solar systems with results I can't assume, so I will try to describe each (assume stability):

1. If a (toroidal) ringworld were massive enough, bodies or planets nearby would orbit it in a spiral fashion along its length, as opposed to in discrete orbits "in front of" or "behind" it (I'm picturing something close to a demonstration made on the ISS that used electromagnetism but was a close analog to gravitation). What most affects the periodicity of this orbit, and how quick can this orbit occur, if the planet is earth-sized and the Ringworld has a radius of 1AU? Could this orbit be as short as one week, or one day?

2. moved here.

posted over 7 years ago

Ross‭

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