From the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole?

Question: From the viewpoint of an observer in the orbiting rocket, what happens to time on the other rocket as it falls toward the event horizon of the black hole?

From the perspective of an observer in an orbiting rocket, the passage of time on another rocket falling toward a black hole's event horizon would appear to slow down significantly. This phenomenon, known as gravitational time dilation, occurs due to the intense gravitational pull of the black hole, which distorts spacetime around it. As the falling rocket approaches the event horizon, the observer would see its clock ticking slower and slower, eventually appearing to freeze at the moment it reaches the event horizon. However, this is an optical illusion; the falling rocket actually crosses the event horizon and continues inward, but the light signals that carry this information are stretched and redshifted to such an extent that they never reach the observer. For the occupants of the falling rocket, time would continue normally; they would not perceive any change as they pass through the event horizon into the black hole.

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