A method for detecting targets using a mobile radar having a rotary antenna, the said method containing: - a step of determining pre-detections during N antenna revolutions, where N is a strictly positive integer, this step including, for an integer k varying from 1 to N: ∘ during the k th antenna revolution, a step of determining pre-detections, a pre-detection corresponding to a radar echo received from an azimuth and a distance beyond a given amplitude, each pre-detection being stored in a grid of cells centered on the position that the radar occupied at the start of the k th antenna revolution when the latter pointed to a reference azimuth, each pre-detection including its amplitude, its azimuth, its distance and the rank k, each cell of the grid corresponding to an azimuth range and a distance range; ∘ at the instant when the k th antenna revolution ends by pointing again to the reference azimuth, and after the grid has been re-centered on the position that the radar occupies at that instant, a step of shifting all the pre-detections stored in the grid during the preceding revolutions, the pre-detections being shifted by the movement undergone by the radar during the k th antenna revolution; characterized in that the said method contains: - a step of determining detections, a target being detected from the moment that a set of pre-detections stored in the grid has its distances to the radar varying in a linear manner during the N antenna revolutions; in such a way as to detect small targets buried in the radar clutter without increasing the number of false detections, this step of determining detections including: - if a grid cell contains a number of pre-detections above a given number, a step of grouping all the pre-detections stored in said cell with all the pre-detections stored in neighboring cells of said cell, - for cells resulting from the grouping step, a step of constructing a histogram of the gradients of distance to the radar as a function of rank k for all the pairs of pre-detections contained in the cells resulting from the grouping step; - if the histogram contains a peak corresponding to a number of pairs of pre-detections having a same gradient value above a given threshold, a step of linear regression over the distance to the radar as a function of rank k for all the pre-detections resulting from the grouping step, the cells for which the histogram maximum is below said given threshold not being retained for the linear regression step. - a step of determining pre-detections during N antenna revolutions, where N is a strictly positive integer, this step including, for an integer k varying from 1 to N: ∘ during the k th antenna revolution, a step of determining pre-detections, a pre-detection corresponding to a radar echo received from an azimuth and a distance beyond a given amplitude, each pre-detection being stored in a grid of cells centered on the position that the radar occupied at the start of the k th antenna revolution when the latter pointed to a reference azimuth, each pre-detection including its amplitude, its azimuth, its distance and the rank k, each cell of the grid corresponding to an azimuth range and a distance range; ∘ at the instant when the k th antenna revolution ends by pointing again to the reference azimuth, and after the grid has been re-centered on the position that the radar occupies at that instant, a step of shifting all the pre-detections stored in the grid during the preceding revolutions, the pre-detections being shifted by the movement undergone by the radar during the k th antenna revolution; ∘ during the k th antenna revolution, a step of determining pre-detections, a pre-detection corresponding to a radar echo received from an azimuth and a distance beyond a given amplitude, each pre-detection being stored in a grid of cells centered on the position that the radar occupied at the start of the k th antenna revolution when the latter pointed to a reference azimuth, each pre-detection including its amplitude, its azimuth, its distance and the rank k, each cell of the grid corresponding to an azimuth range and a distance range; ∘ at the instant when the k th antenna revolution ends by pointing again to the reference azimuth, and after the grid has been re-centered on the position that the radar occupies at that instant, a step of shifting all the pre-detections stored in the grid during the preceding revolutions, the pre-detections being shifted by the movement undergone by the radar during the k th antenna revolution; - a step of determining detections, a target being detected from the moment that a set of pre-detections stored in the grid has its distances to the radar varying in a linear manner during the N antenna revolutions; - if a grid cell contains a number of pre-detections above a given number, a step of grouping all the pre-detections stored in said cell with all the pre-detections stored in neighboring cells of said cell, - for cells resulting from the grouping step, a step of constructing a histogram of the gradients of distance to the radar as a function of rank k for all the pairs of pre-detections contained in the cells resulting from the grouping step; - if the histogram contains a peak corresponding to a number of pairs of pre-detections having a same gradient value above a given threshold, a step of linear regression over the distance to the radar as a function of rank k for all the pre-detections resulting from the grouping step, the cells for which the histogram maximum is below said given threshold not being retained for the linear regression step.