Geosynchronous orbit seems like a good idea for floating giant space structures to me. Given the International Space Station is truckin' along up there, would you want 30 HUGE structures going at different speeds? And Ritifo is right, that's a lot of mass to make change a different direction without comming to your feet. All a star would do is make the objects orbits oblong, they have to overcome said planet's gravity first.
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