基于地磁与卫星组合的高旋弹丸滚转角高频测量及系统误差计算研究

High-frequency Measurement and Calculation Study of Systematic Errors of High-rolling Projectile Roll Angle Based on a Combination of MR /GNSS

为了研究地磁与卫星组合测量的系统误差并提高其测量频率,利用高旋弹丸的飞行特性,建立了基于小攻角及单轴旋转假设的弹丸滚转角及其角速率的高频测量方法,并推导了其滚转角及其角速率计算的系统误差方程。通过建立以俯仰角为变量的仿真模型,完成了组合测量系统在全域范围内实时变化的系统误差计算。经6自由度(DOF)外弹道仿真验证,在排除弹轴与地磁矢量的较小夹角区域后,其整体滚转角误差小于±5°,角速率误差小于±5°/s.在中小射角发射条件下,地磁与卫星组合的滚转角计算方法能够满足高旋弹丸的高频高精度的滚转角测量。

In order to study the systematic errors of MR/GNSS measurement system and improve its meas- uring frequency, a high-frequency measuring method for the projectile roll angle and angular rate, which is based on the assumptions of small angle-of-attack and single axis rotation, is established by using the flight characteristics of high-spin projectile. The systematic error equations of roll angle and angular rate are derived. The real-time systematic error of this combined measuring system in the global scope is cal- culated by establishing the simulation model with pitch angle as a variable. The results of 6-DOF exterior ballistic simulation show that the overall roll angle error is less than ±5° and the angular rate error is less than ±5°/s after the region of smaller angle between projectile axis and geomagnetic vector is excluded. In the condition of medium or small launching angle, the roll angle calculation method based on MR/ GNSS can meet the needs of high-frequency and high-accuracy roll angle measurement for the high- spin projectile.