system
Given the following post, respond as if you're commenting on Reddit:
human
Do we observe the handful of stars orbiting the Milky Way's central black hole moving slower during their perigees due to the intense gravity?

Since a distant observer sees an object moving more and more slowly as it approaches an extremely massive object, do we see this manifested in the stars that orbit close to the central supermassive black hole?  Or, do they​ just not get close enough to have the effect be measurable.  

Basically...Do we observe on some level what happened in "Interstellar"?
gpt
They don't quite get close enough for that. You basically need to be right on top of the event horizon of a black hole to get a significant effect, and a star would be torn apart before it reaches that point.

For the details - it depends on the radius of the event horizon, which we called the Schwarzchild Radius. How much time dilation you get depends on how many Schwarzchild radii you are away from the centre of the black hole. At 10 Schwarzchild radii, you get time slowed down by about 5%. At 5 Schwarzchild radii, that becomes about 10%. At two Schwarzchild radii, it goes up to 30%. At 1.1 Schwarchild radii, it's 70%. At 1.0001 Schwarzchild radii, time is slowed down by a factor of a hundred. So it increases really rapidly as you start to reach the event horizon, but the effect is only strong if you're really really close.

The closest stars get maybe 0.004 parsecs away from the black hole, which is about one hundred billion kilometres - i.e. a hundred thousand million kilometres. The event horizon of the black hole has a radius of about ten million kilometres. So they're very close, as far as stars go, but not nearly close enough for time dilation to have a strong effect.

This is one of the somewhat unrealistic things about the movie. For a planet to get such a huge amount of time dilation, it'd need to basically be right on top of the event horizon, and the black hole would take up basically the entire sky. It's not a very likely place to find a habitable planet. It also doesn't fit with the visualisation they showed of the black hole, which shows it with an accretion disc. This planet should actually be *inside* the accretion disc.