Abstract: Satellites in low earth orbit, which have many advantages such as low time-delay between space and ground, low link loss and high system capacity, play a key role in space-ground integrated network. High gain antennas are in high demand. However, it is difficult for small beam angle antennas to point rapidly and accurately and track stably. In order to solve the problem, a high-precision pointing linear control method is proposed, which is able to make high gain mechanical rotating antennas track quickly and stably, so that the reliability and efficiency of satellite-ground transmission can be assured. This article first introduces the selection of coordinate systems, the definition of antenna pointing angles, and conventional pulse control methods. After that, the high-precision pointing linear control method is proposed. Differing from conventional methods, the new method also integrates functions such as independent chain building and software limiting to make sure antennas' autonomous operation and management is available. The simulation verification results show that the algorithm can achieve an antenna pointing angle deviation of no more than 0.015 ° throughout the entire tracking process, which can meet the needs of satellites in low earth orbit, particularly suiting for large-scale satellite constellations.