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双经纬仪测量火炮轴线指向的方向余弦矩阵方法

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针对火炮底盘不水平条件下测量身管绝对空间指向的实际需求,提出基于方向余弦矩阵解算的双经纬仪空间角测量方法.综合运用北斗双天线定向和双经纬仪测量3个标记点方案,以经纬仪测量3个标记点的水平角和垂直角为已知量,根据双矢量定姿原理,通过相关矢量和方向余弦矩阵运算,获取火炮身管在地理坐标系下的方位角和高低角.通过蒙特卡洛仿真方法分析了双经纬仪空间角测量精度,方位测角精度优于57.6″,高低测角精度优于28.8″.利用高精度双轴转台搭建了实验测试系统,在考虑北斗定向误差的情况下,该方法方位测量精度为65.5″,高低测角精度为51.1″.仿真和实验结果表明,该方法可用于火炮轴线空间指向的测量.
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

李国栋、李哲、王向进、张玺

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陆军工程大学 军械士官学校,湖北 武汉 430075

方向余弦矩阵 火炮轴线 双经纬仪 北斗定向 空间角测量

2024

陆军工程大学学报
解放军理工大学科研部

陆军工程大学学报

影响因子:0.556
ISSN:2097-0730
年,卷(期):2024.3(6)