This machine includes a tool (30) actuated by an actuating module (32); a dual-frequency satellite positioning module (40) able to take into account corrections relative to the disruptions affecting the propagation of radio navigation signals emitted by each of the visible radio navigation satellites and that are caused by the ionosphere, so as to determine an absolute position of the machine, and consequently of the tool, which is precise to within a centimeter; and a computer (50) able to compare the instantaneous absolute position of the tool and an absolute position of a current revisiting point, selected from among the revisiting points of a revisiting plan, the computer then being able to command the actuation module.