# Why do the stars in the galaxy core move so fast?

There are a bunch of stars orbiting the black hole in the center of our galaxy.

These stars move at huge speed. Why do we see this? Why do the black hole not impose any noticeable time dilation on these stars?

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$v(R)\sim \sqrt{ \frac{GM}{R}}$
Now, the effects of general relativity are only significant when you're near the event horizon. In this case, even though the stars are relatively 'close' (about $10^{15}$ cm), they're still almost about 1000 times further away than the event-horizon! And so the effects of general relativity (e.g. time dilation) are very very small (in this case, currently unobservable at all).