Your perception of time is always the same, give or take your boredom level of course ;). But in terms of relativity, the differences show up when compared to others, either their perception of you or your perception of them.
In the case of Interstellar, the astronauts all feel time going regularly, however an outside observer would see them looking basically stationary from a far enough distance (and a super telescope I suppose).
The part that really blew my mind is the idea that the first astronaut who came and explored had only been there for one cycle of the tides. I thought I had caught an error when they found the wreckage relatively in tact, but they sewed that one up nicely right away.
What a film and soundtrack.
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