Answer:
It actually moves in many ways! This is fun to think about.
First, it’s rotating. Everyone knows that part. But, like a top, the axis of rotation is also moving. It traces out a sinusoidal/ circular trajectory.
Now, the moon orbits the Earth, right? Wrong. At least a little wrong. The moon and Earth orbit each other in an unequal partnership. Think of a large man swinging a small child around in a fun non-abusive way. The kid does most of the swinging, but the man is influenced by the mass of the child. Even stars are influenced by the far lesser mass of their planets. This is the primary means used to detect extrasolar planets. We can actually see the stars wiggle a little bit (by observing the Doppler shift).
