The present disclosure provides satellite tracking systems and tracking methods. The satellite tracking system includes an array of antenna elements and a control unit. A feed current for each of the antenna elements passes through a phase shifter. The control unit generates a control signal for the phase shifter. The satellite tracking system searches, positions, and tracks a target satellite in accordance with the control signal. The satellite tracking systems and methods utilize step scanning and particle swarm optimization in the search stage, compensating for gaps formed during the satellite searching in the positioning stage, and conical scanning in the tracking stage.