Do satellites change position

Some do. There are two types of orbits we use regularly. The first is Geosynchronous That is the satellite changes speed at exactly the same rate as our planet, so it appears that it doesn't move.

The second we use allot is polar orbits. This is a lower orbit that allows the satellite to see every point on the planet at regular intervals. We use these as spy satellites and for places like google maps.

It is possible to change a satellite's position by using other satellites in the same orbit, as landmarks. This is done by entering the four digits of the landmark satellite into a computer and then programming the satellite to change to that direction.

Natural satellites don't usually change position because for mankind to alter their orbiting path would be interfering. they occasionally change position due to their own cause.