【摘要】 为提高磁测正常梯度改正精度、完善磁力仪功能,在研究国际地磁参考场的数学原理的基础上,给出了用于编程的计算公式,包括施密特准归一化的缔合勒让德函数及其一阶导数的递推公式以及地理坐标和磁场分量的坐标转换公式。通过编写基于Visual C++的C语言程序完成了地磁正常场的精确解算。研究结果表明,该计算程序能对全球任意位置在IGRF-11(International Geomagnetic Reference Field)模型下的地磁场七要素进行计算,与标准结果的对比显示,其总场值计算精度约为±1.2 n T,满足正常梯度改正的要求,为磁力仪的自动配谐及上位机软件的研制提供了理论依据。更多还原

【Abstract】 In order to increase the accuracy of gradient correction of magnetic measurement and to improve the magnetometer’s function,the mathematical feature for the IGRF( International Geomagnetic Reference Field) is described,the complete formula suitable for programming and a program based on Visual C + + is also given.The program can calculate the geomagnetic elements of any position in the world based on the IGRF-11 model.Compared with the standard results,the total intensity’s mean error of the program is 1. 2 n T,which can meet the requirements of the gradient correction. The study also provides a theoretical basis for the development of automatic resonance and PC software.更多还原