The navigation system can measure the attitude (EULER ANGLES) through 2 technologies, strap-down and gimbal systems.

If the gimbal axis is not aligned with the "inertial axis (because some reason) , how can I model the error at that case? How will be the Euler angles sensed by my sensor? I know that the two system the inertial and gimbal axis( which is inertial fixed) are related by a direct cossine matrix.

But how can I calculate the difference between the true euler angles(inertial axis) and false angle that you suppose it was aligned with inertial axis but it's not.

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