摘要
区域地磁场模型可以描述地磁场的细节信息,在精准导航、目标探测等领域具有重要的应用价值。为了建立高精度中国区域地磁场模型,本文结合Swarm卫星数据,对三维勒让德多项式模型进行了研究,提出了基于奇异值分解的改进求解方法,提高了模型在高阶数时的求解精度,同时,采用K折交叉验证的方式,确定了勒让德多项式模型各地磁分量的最佳截止阶数。通过与泰勒多项式模型、拉盖尔多项式模型、切比雪夫多项式模型的对比试验,验证了勒让德多项式模型在模型截止阶数、计算速度、建模精度和边界效应等方面的优势,其各分量的整体拟合误差最低可以达到0.055 nT,模型边界误差可以达到0.074 nT。通过与其他区域地磁场模型和WMM2020模型计算结果的对比分析,进一步验证了本文方法的有效性和区域地磁场模型的精度优势。
Regional geomagnetic field models can provide detailed information about the geomagnetic field,with significant applications in precise navigation and target detection.To establish a high-precision regional geomagnetic field model for China,this study integrates Swarm satellite data to investigate the 3D Legendre polynomial model and proposes an enhanced solution method based on singular value decomposition to improve accuracy at higher degrees.Concurrently,the optimal truncation degree of the Legendre polynomial model for each geomagnetic component is determined using K-fold cross-validation.Comparative experiments with Taylor polynomial models,Laguerre polynomial models,and Chebyshev polynomial models validate the advantages of the Legendre polynomial model in terms of truncation degree,computational speed,modeling accuracy,and boundary effects;with overall fitting errors for each component as low as 0.055 nT and boundary errors reaching a minimum of 0.074 nT.Further comparisons with other regional geomagnetic field models and WMM2020 calculation results confirm both the effectiveness and precision advantages of the proposed method along with its corresponding regional geomagnetic field model.
作者
朱博
李厚朴
朱立波
边少锋
陈成
ZHU Bo;LI Houpu;ZHU Libo;BIAN Shaofeng;CHEN Cheng(College of Electrical Engineering,Naval University of Engineering,Wuhan 430033,China)
出处
《测绘学报》
北大核心
2025年第3期461-472,共12页
Acta Geodaetica et Cartographica Sinica
基金
国家自然科学基金(42122025,42430101,42104004)。
