Theoretical Considerations in Measuring the Six-Degree-of-Freedom Motion of Gun Tubes by Accelerometers
ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD
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The second total derivative of the position vector, which describes the position of an accelerometer fixed to a body moving in space, is examined to determine the six-degree-of-freedom acceleration vector. The dot product of the accelerometer response vector with the acceleration vector is examined to determine the spacial relationships required to separate vectorial components of acceleration and the effect of cross-axis sensitivity on the measurement of gun tube motion. Basic array geometries are presented with the algorithms required to analyze the data for each array. Cross-axis sensitivity and data system response requirements are also discussed.
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