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I was reading one of my textbooks and I had a thought. For a black hole, there is minimum orbiting radius of ##R_{min}=3R_s## where ##R_s## is the Schwarzschild Radius. This minimum orbit is created by the fact that in order to obtain an orbit of that radius around a black hole, you would need to be traveling at a velocity exceeding ##c##. That's all good and dandy. However, wouldn't it be true that there exists a minimum orbit for any massive body due to the the velocity limit of c? In other words, if I am in an orbit around the earth such that my velocity is equal to ##c##, what is my radius? Just something I thought up.

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# Minimum Orbital Radius

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