Abstract: In a method according to the invention for estimating the accuracy of azimuthal orientations (a) of a measuring device (1) having an electronic magnetic compass (2), a plurality of determinations of an azimuthal orientation (a, a?, a?, a??, a??) are carried out, in which the measuring device is aligned with one and the same measuring points at different measuring locations (P, P?, P?, P??, P??) adjacent to one another. On the basis of these determined azimuthal orientations (a, a?, a?, a??, a??), the value of the accuracy is automatically estimated by the measuring device (1) by means of a computational method. The adjacent measuring locations (P, P?, P?, P??) are advantageously located one above the other or along a straight line to the measuring point. By means of this method, stationary stray fields of local scale can be detected and the effects thereof on the accuracy can be estimated. Further methods according to the invention are designed in each case specifically for further types of stray fields.