Navigation system for a vehicle, especially a land craft

The invention relates to a navigation system for a vehicle, in particular for a land vehicle, having at least one single-axis gyro for the vehicle vertical axis (z axis), having two accelerometers in the horizontal vehicle plane (x axis, y axis), and having a vehicle-axis velocity measurement device, for example, a distance-travelled sensor. In addition, supporting signal devices, in particular a satellite receiver and/or a map, are available as well as a controller, which uses a suitable Kalman filter to determine the vehicle position and/or the direction of travel from the measured and stored signals. The Kalman filter is assigned at least one partial filter, of which a first partial filter is used for dynamic levelling and/or a second partial filter is designed as a position filter which provides track calibration, position calibration and sensor calibration.