Abstract: The invention relates to a method of tracking a target on an orbital trajectory by a spacecraft, the method comprising an acquisition phase which comprises the steps of activating a lidar, acquiring signals from the lidar system, determining target trajectory data from the lidar signals, wherein the spacecraft is engaged on a trajectory to approach or inspect the target, which trajectory is determined based on the target trajectory data, and if the target is no longer detected, activating a short-range detection phase, comprising activation of a wide-field radar.