A method and a system for detecting the spatial movement state of moving objects, e.g., vehicles. Due to a, for example, non-cartesian arrangement of four rotational rate sensors and/or acceleration sensors, it is also possible to obtain a redundant signal in addition to the desired useful signal indicating the spatial movement state, e.g., the rotational movement and/or acceleration in space; if this redundant signal is large enough in comparison with the rotational rate actually applied, it may be used for detection of the size of the error and the defective sensor. The four sensors are mounted, for example, on a sensor platform forming a three-sided truncated pyramid so that all possible three-way combinations of sensors are mutually linearly independent. The accuracy about the vertical axis is defined by the angle of inclination of the side faces of the truncated pyramid.