Where photons orbit a black hole is called a Photon Sphere. https://en.m.wikipedia.org/wiki/Photon_sphere https://en.m.wikipedia.org/wiki/Photon_sphere It's a

Where photons orbit a black hole is called a Photon Sphere. https://en.m.wikipedia.org/wiki/Photon_sphere https://en.m.wikipedia.org/wiki/Photon_sphere It's at 1.5 times the radius of the event horizon for a non-charged, non-rotating black hole. But it's more of a theoretical than practical construct. You wouldn't expect to actually find any photons there because the orbit is unstable and any deviance from a perfect orbit would accumulate exponentially.