基于椭球面分布的磁测量修正方法研究

针对地磁测量计算姿态角时容易受到测量环境干扰的问题,分析并建立了完整的磁测量数学模型,通过简化该模型,得出磁测量输出轨迹为椭球面分布,并利用最小二乘椭球参数拟合的方法,完成了基于椭球面分布的磁修正椭球参数估计.通过试验分析,基于椭球参数拟合修正方法的测量误差小于2%,有效地修正了测量环境及传感器本身带来的测量误差.

Study on Corrected Method for Magnetic Measurement Based on Ellipsoid Distribution

The measurement environment interferes with attitude angle measured by geomagnetism.Aiming at this problem,an integrated mathematical model of magnetic-measurement was analyzed and established.By simplifying the mathematical model,the output trajectory of magnetic measurement is ellipsoidal distribution.By using the curve-fitting method of ellipsoid parameters based on least squares,the magnetic-correction ellipsoid-parameters were estimated based on the ellipsoid distribution.Through the experimental analysis,measurement error of the correction method based on the ellipsoid-parameters curve-fitting is less than 2%.The measurement error affected by the environment and caused by sensor itself is effectively corrected.