在弹道修正弹的修正控制过程中,需要实时准确的测量弹丸的滚转角信息。利用地磁与卫星组合的测量原理,建立了弹丸滚转角组合测量的数学解算模型,并完整的推导了该系统的奇异点位置及误差解析式。利用数值仿真的方法,验证了组合测量的奇异点位置,并找出该系统误差的主要因素为俯仰角和偏航角误差。在去除奇异点区域,及弹道攻角和侧滑角小于1°时,地磁与卫星组合测量的弹丸滚转角误差小于5°。

During correctional control of trajectory correction projectiles, an accurately real-time measurement of projectile's roll angle is necessary. A math model of combined measurement of projectile's roll angle was established by using the principle of combined measurement of geomagnetic and satellite, also, the singular point position and error analytic formula was derived. The singular point position of combined measurement was verified by using numerical simulation method, and the main factors of system error for the combined measurement were found out to be pitching angle and yaw angle error. After removing the singular point area, and the area where the ballistic angle of attack and sideslip angle are less than 1°, the projectile's roll error is less than 5° by the combined measurement of geomagnetic and satellite.