北京卫星环境工程研究所， 北京 100094
收稿日期:2017-04-25通讯作者:易忠，男，研究员，博士生导师，电话(Tel.)：010-68112092; E-mail: yizhong6808@sina.com.作者简介:徐超群（1985-），男，陕西省宝鸡市人，博士生，研究方向为航天器磁环境工程.E-mail: xucq111@163.com.基金资助:国家重点研发计划（2016YFB0501304）Multi-Magnetic Source Discrimination Technology Inside the Spacecraft
XU Chaoqun,YI Zhong,CHEN Jingang,WANG BinBeijing Institute of Spacecraft Environment Engineering, Beijing 100094, China
Received:2017-04-25摘要/Abstract
摘要： 针对航天器内部多磁源分辨研究中非线性磁场方程解析难的问题，建立了航天器多磁偶极子模型，利用高斯-牛顿法，提出扫描极值的方法，破解了磁源数目和初始迭代值，解决了航天器内部多磁偶极子的分辨问题.研究结果表明：初始值的选取可能导致算法失败，合理的初始值可以加速收敛；当计算磁源个数多于实际磁源数时，算法可用，但结果不可靠，反之完全失效；另外，计算误差随磁偶极子数目的增加呈增加趋势，当磁偶极子数目超过4个时，由于反演参数过多，高斯-牛顿法失效.
关键词: 航天器, 多磁偶极子, 极值扫描, 高斯-牛顿算法, 误差
Abstract: In order to analyze the nonlinear magnetic field equations in research of multi-magnetic source resolution in spacecraft, a multi-magnetic dipole model of spacecraft is established. The scanning extremum method is used in Gauss-Newton algorithm to break through the difficulty of the number of magnetic sources and the initial iteration values, and the inversion problem is well done. The results show that Gauss-Newton algorithm sometimes fails due to incorrect selection of initial iterative values, but the good one can accelerate the convergence. When the calculated dipoles are more than the real ones, the method can be used, but the result is not reliable. On the contrary, it will fail. The influence is big and inclines to increase with the increasing dipoles. Gauss-Newton method fails due to the excessive number of inversion parameters when the dipoles are more than four.
Key words: spacecraft, multi-magnetic dipoles, scanning extremum, Gauss-Newton algorithm, error
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