A drive that moves a telescope at sidereal rate moves the scope round the Right Ascension axis at the rate that stars move across the sky. If a telescope was able to move a full 360 degrees around the RA axis it would take about 4 minutes less than 24 hours. This is the difference between a sidereal day and the mean solar day of 24 hours. This is why stars/constellations appear to rise a bit earlier every night (4 minutes earlier) using the same time each night.
The moon moves at a different rate across the sky compared to that of the stars. This is the lunar rate. If you have a computerized tracking system on your scope it will often have the lunar rate built in. If you watch the moon carefully it appears to rise about 1 hour 8min later each night.
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