Method of Measuring Artillery Axis Orientation with Dual Theodolites Based on Direction Cosine Matrix
In response to the practical requirement of measuring the absolute spatial orientation of the artillery axis under the condition of an uneven artillery chassis,a dual theodolite spatial angle measurement method based on the solution of the direction cosine matrix is proposed.This method integrates the Beidou dual-antenna orientation and the dual theodolite measurement of three marked points to obtain the absolute spatial orientation of the artillery axis.With the horizontal and vertical angles of these three marked points determined by the theodolites as known inputs,the azimuth and elevation angles of the artillery barrel in the geographical coordinate system are derived through vector correlation and direction cosine matrix calcu-lations,following the principle of double vector attitude determination.The accuracy of spatial angle measurement with dual theodolites is analyzed through the Monte Carlo simulation method,revealing that the azimuth angle measurement precision exceeds 57.6″ and the elevation angle measurement precision sur-passes 28.8".An experimental test system,constructed with a high-precision two-axis turntable,demon-strates the azimuth measurement accuracy of 65.5″ and the elevation angle measurement accuracy of 51.1″,accounting for Beidou orientation errors.Both the simulation and experimental results confirm the effec-tiveness of this method for measuring the spatial orientation of the artillery axis.
direction cosine matrixartillery axisdual theodoliteBeidou orientationspatial angle measurement