The first thing you learn when you read Einstein's Universe is to throw away the concept of stationary. Everything is moving. The only question is...relative to what? It's all a matter of perspective.
Spaceships are normally orbiting around something. Whether that something is the Earth, the moon, the sun or the Galaxy. Which one is up to you.
In orbit the shuttle would seem to be motionless next to the space station but look down and earth is spinning and compared to the Earth the shuttle and station are moving at 17000 mph.
If we broke Earth's orbit and just went out into interplanetary space...now the sun looks stationary but the Earth is moving away...or is it we're moving away? It depends on your perspective. On Earth it looks like the ship is moving away where as on the ship the sun stands still and the Earth is moving away.
That's General Relativity.