The invention relates to a method (34) for tracking a target (10), using an electronic target tracking system (14) on board a drone (12), the method (34) comprising at least determining (40) a movement trajectory of the drone (12), the trajectory comprising a plurality of successive orbits respectively centered on a plurality of successive positions (C) of the target (10), the orbit radius being able to vary, from one successive orbit to another, based on at least one element belonging to the group comprising: at least one datum (50) associated with the movement performance of the drone (12), the current position of the target (10), a predetermined elevation angle (ζ) of the drone relative to the target (10), the current altitude of the drone (12) relative to the target (10).