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    $\begingroup$ " (even just outside) it can, in principle, happily orbit the black hole." Not really true. $\endgroup$
    – ProfRob
    Commented Apr 5, 2018 at 9:24
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    $\begingroup$ What Rob said. The closest "orbits" are in the photon sphere at 1.5 times the Schwarzschild radius, but you have to be massless to orbit there, and even then your orbit is unstable. $\endgroup$
    – PM 2Ring
    Commented Apr 6, 2018 at 11:34