Orbiting the photon sphere requires maintaining a specific speed, which is unattainable for a spaceship since it cannot move at the speed of light. Therefore, a spaceship cannot achieve a free-fall orbit at the photon sphere, where only photons can exist. Instead, a spaceship would need to exert thrust to remain in orbit at this location, which would require significant force. It is possible to orbit just outside the photon sphere, but if the spaceship is finite in size, parts of it could extend into the photon sphere, leading to tidal gravitational effects. The complexities of gravitational forces near the photon radius make this a challenging scenario to navigate.
