Space shuttles don't use GPS either.
Here is some interesting info
QUESTION:
Does the space shuttle navigate on GPS or does it navigate by the stars?
Actually there are two parts to this issue: "State Vector" and "Attitude" (or trajectory and orientation). The state vector contains information on where the Orbiter is and how fast it is moving at a given instant in time. This navigation information is supplied by the onboard Inertial Measurement Units (IMUs). The IMUs also provide Orbiter attitude information (i.e., nose forward payload bay to earth, tail forward payload bay to space etc.). The IMUs are built with mechanical gyroscopes that drift due to friction. To compensate for this drift the IMUs are corrected by ground uplink of tracking data. This corrects the state vector information. To correct the attitude information, the Shuttle takes star sightings every so often to keep the error in the attitude bellow .25 degrees. We have used GPS in tests but only as stand-alone systems. We have never used the information from GPS to actually compensate the IMU's or to assist with Shuttle navigation. The Space Station, on the other hand, will be using GPS for all its attitude and state vector data; there will be no IMUs on board.