marcus
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Originally posted by Labguy
Without "matherizing", which I hate, I would have to say that the radius of curvature of the photon at 4.5 miles from the "center" would be 4.5 miles, in an attempt to obtain a circular orbit. Your 4.5 miles just happens to be 1.5 R_S.
That is right. If a black hole has schwarzschild radius 3 miles then the only distance at which light can go in circular orbits is 4.5 miles.
(this is for the ordinary case of non-rotating uncharged holes.)
The radius of the so-called "photon sphere" around the black hole, where light can orbit, is always 1.5 times the schw. radius.
Your turn Labguy.
(My son once took an introduction to astronomy course where the professor liked to tell students that if you put your head in the photosphere of a BH you would be able to see the back of your own head. for some reason that idea was popular with the students.)