A method for detecting a substantially invariant rotation axis of a motion of a mobile body equipped with at least one inertial or magnetic sensor with three sensitive axes that includes acquiring physical measurements with respect to the three sensitive axes of the sensor, the physical measurements including at least three samples at different times, estimating a substantially invariant rotation axis in the physical measurements space, and identifying the estimated axis as the substantially invariant rotation axis of the motion. In one aspect, the method is applicable for estimating the motion of a mobile body rotating about a substantially invariant axis.