基于弹道模型的磁测系统偏航干扰误差分析

Yaw Interference Error Analysis of Magnetic Measurement System Based on Trajectory model

常规弹丸在使用地磁算法测量滚转角的过程中,常将偏航角设为0°解算弹丸滚转角。当弹丸在飞行过程中偏航角发生变化时,滚转角解算精度受到一定影响。针对偏航角变化带来的误差与多种因素有关,且规律不清楚。在建立偏航角误差系数的基础上,使用Matlab软件建立了弹丸在不同偏航角、俯仰角、射向条件下的误差模型。首先建立了横风修正的质点弹道模型,通过蒙特卡罗方法仿真弹丸的轨迹分布,分析了弹载环境下磁测算法的滚转角误差,并验证了误差系数的准确性。通过仿真验证,误差系数可以较准确地表示滚转角误差与偏航角变化之间的关系,误差系数计算的误差与理论误差的差值小于10%,为后续实弹试验做好理论准备。

In the process of measuring roll angle with geomagnetic algorithm, the yaw angle is usually set to 0° to calculate the roll angle of projectile. When the yaw angle of a projectile changes during flight, the calculation accuracy of roll angle is affected to some extent. The error caused by the change of yaw angle is related to many factors, and the rule is not clear. On the basis of establishing the error coefficient of yaw angle, the error model of projectile under different yaw, pitch and firing direction is established with Matlab. Firstly, the particle trajectory model corrected by transverse wind is established, and the trajectory distribution of projectile is simulated by Monte Carlo method. The roll angle error of magnetic measurement method under the environment of missile is analyzed to verify the accuracy of error coefficient. Simulation results show that the error coefficient can accurately represent the relationship between roll angle error and yaw angle change, and the calculation result is less than 10%, which is a theoretical preparation for subsequent live ammunition tests.