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根据直线交会测量原理,构建了机载光电平台目标定位数学模型。首先建立5个坐标系,确定了坐标系之间的变换关系,在地心直角坐标系下,根据光电平台观测目标的方位和俯仰角度参数,结合飞机的位置和姿态测量参数,通过坐标变换确定从光电平台到目标之间的观测直线方程。选择一组目标观测直线建立目标交会测量目标函数,根据最小二乘原理,建立关于直线交会点坐标的线性方程组。解出直线交会点的三维坐标并根据从地心直角坐标系到大地地理坐标系的变换关系,计算目标的大地经纬度和高程坐标,通过样本数据进行交会定位精度实验。实验结果表明,本文方法定位结果和实际测量数据接近,经度误差为0.65″,纬度误差为0.82″,高程误差为5 m,验证了本文方法的准确性。本文方法有效可行,对机载光电平台目标定位具有实用价值。
According to the principle of straight intersection measurement, a mathematical model of the target positioning of airborne optical platform is established. Firstly, five coordinate systems are established to determine the transformation relationship between the coordinate systems. In the geocentric coordinate system, according to the azimuth and elevation angle parameters of the observatory, the parameters of the aircraft position and attitude are measured and the coordinate transformation is used to determine Observational line equations from the optoelectronic platform to the target. Select a set of target observation line to establish target intersection measurement objective function, according to the principle of least squares, the establishment of linear intersection point coordinates of linear equations. The three-dimensional coordinates of the intersection of the straight line are solved and the geodetic latitude and longitude coordinates of the target are calculated according to the transformation from the geocentric coordinate system to the geospatial coordinate system. The accuracy of the experiment is verified by the sample data. The experimental results show that the proposed method is close to the actual measured data, the longitude error is 0.65 “, the latitude error is 0.82” and the elevation error is 5 m, which verifies the accuracy of this method. This method is effective and feasible, and has practical value for the target positioning of airborne optical platform.