An experimental device of laser scanning, acquisition and tracking in deep-space non-cooperative target was designed, and the courses of scanning and tracking between two satellites at the same orbit were simulated, the smallest acceleration of laser directional driving motor in the scanning and tracking device and its moving characteristics during scanning and tracking were calculated theoretically. Theoretical analysis and simulation shows that the direction driving motor accelerates first, and then decelerates to compensate for the eccentricity when the satellite is deviated from laser center with a certain distance, and reacquires the tracking satellite. The needed time from reacquisition to tracking is affected by motor acceleration, telescope′s detecting precision, and detector′s response and treatment time, and the effect of detector precision on the reacquisition and re-tracking time is greater, as a result, the detector response and treatment time is decreased to the least. In order to make the satellite within the scope of scanning laser spot during acquisition and tracking, the smallest angular acceleration of the driving motor of the theodolite is 25.5°/s2.