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The escape velocity is affected by altitude for any celestial body; the further away from the mass, the lower the escape velocity from that point. At the event horizon, the escape velocity is the speed of light. Within the photon sphere but outside the event horizon, light paths not pointing outward will intersect the event horizon. At the photon sphere, a notionally tangential light beam would ideally remain in a perfectly circular "orbit" around the black hole (although, traveling in a geodesic, the light beam will be only traveling straight as far as it's concerned, space itself is bent).... outside the photon sphere, the escape velocity continues to fall with distance.

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