Abstract
Aiming at the high computational complexity and large storage of IGRF geomagnetic field model in Attitude Determination and Control System (ADCS), the uniform sampling model and K-Curvature weighted model have been established. First of all, storage format and track deduction method of uniform look-out-table (LUT) model is proposed. Then, this paper uses U-Discrete curvature calculation method to solve the discrete curvature of magnetic field data. Finally, the uniform sampling method and K-Curvature Weighted model in fitting the original curve has been compared. In general, this paper presents K curvature weighted non-uniform LUT model with only 80 points needed, and it only needs 0.96 kB. It proves great advantages in terms of computing speed and storage space compared with the existing technology.
Highlights
This paper uses U⁃Discrete curvature calculation method to solve the discrete curvature of magnetic field data
The uniform sampling method and K⁃Curvature Weighted model in fitting the original curve has been compared
Summary
西北工业大学学报 Journal of Northwestern Polytechnical University https: / / doi.org / 10.1051 / jnwpu / 20193720283 摘 要:针对飞卫星姿态确定和控制系统(attitude determination and control system,ADCS)中,IGRF 地 磁场模型的计算复杂度高和存储空间量大的问题,设计了均匀采样和 K 曲率加权 2 种历表模型。 首 先,给出了均匀历表模型的软件流程、存储格式、轨道推演方法;然后,采用 U 曲率计算方法求解地磁 场数据的离散曲率,并提出了 K 曲率加权方法设计非均匀历表模型;最后,比较了均匀采样和非均匀 方法对原曲线的拟合程度,以及在 ADCS 中应用结果的比较。 最终设计了适用于飞卫星的 80 点基于 K 曲率加权的非均匀历表模型,仅需 0.96 kB 存储空间,证明在计算速度和存储空间等方面和现有技 术相比具有较大优势。 然后对查到的历表数据进行线性插值,最终解算出 卫星所处轨道位置的磁场强度数据。 算法设计流程 如图 2 所示。 在没有有效 GPS 数据的情况下,通过 卫星运行轨道推算卫星轨道位置的真近点角,然后 查表、插值得到卫星所处轨道位置的磁场强度。 1.3 历表设计 {cosi·tanθ = tan(λs(t) - λ0 + ωet) sini·sinθ = sin(φs(t))
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