[moring]

> Special relativity states that a fast moving object experiences time dilation – its clocks slow down relative to a stationary observer.

For more fun: A less known fact is that SR also states that from the POV of the satellite, the satellite is a stationary observer and the guy on earth is fast moving, therefore that observer's clock slows down relative to the satellite.

Yes, that's right: Each of them sees the other one's clock as slower.

IIRC It takes the fact that the satellite moves in an orbit, not in a straight line, to resolve which one is actually "slower" because up until then, the word "slower" isn't really meaningful at all.