基于地磁梯度的弹丸运动涡流磁场模型

Eddy Current Magnetic Field Model of Moving Projectile Based on Geomagnetic Gradient

针对传统的磁补偿方法不能满足旋转弹丸高速飞行过程中干扰涡流磁场补偿要求的问题,提出了基于地磁梯度的弹丸运动涡流磁场模型。该模型结合弹体涡流磁场与地磁梯度的特点,阐明了运动涡流磁场与弹体飞行参数、地磁场矢量强度和地磁梯度之间的数学关系,完整地体现了影响弹体涡流磁场的因素。数值仿真实验的结果表明,不考虑地磁场梯度会造成涡流补偿效率和姿态角解算精度的降低,且随着弹体飞行跨越地理范围的增大,其误差也增大。所提出的模型有效可靠,可用于弹体背景磁场的补偿研究。

Aiming at the problem that the traditional magnetic compensation method could not meet require- ments of interference eddy current magnetic field （EMC） compensation during the high speed flight of the rota- ting projectile, the EMC model of moving projectile based on geomagnetic gradient was proposed. Characteris- tics of magnetic gradient and EMC were combined in this model and the mathematical relationships among ECM , projectile flight parameters, geomagnetic field vector intensity and the magnetic gradient were illustrated. Meanwhile, the influence factors of EMC of the projectile were fully reflected with the model. The results of the numerical simulation indicated that, without consideration of the geomagnetic gradient, it would reduce ECM compensation efficiency and attitude calculating precision, and the error increased with the projectile＇ s flight range expanding. The proposed model was effective and reliable, and could be used in projectile background magnetic field compensation research.