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Mathematical modeling and simulation of the earth's magnetic field: A comparative study of the models on the spacecraft attitude control application

机译:地磁场的数学建模与仿真:模型在航天器姿态控制中的比较研究

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摘要

In this paper, the Earth's magnetic field models which are widely used in spacecraft attitude control applications are modeled and extensively compared with a reference model. The reference model is obtained utilizing coefficients from the last generation of International Geomagnetic Reference Field (IGRF-12). The validity of this model is verified with the World Magnetic Model (WMM) in terms of intensity and direction of the field. The reference model is then used to evaluate lower-order and approximating models while the influence of effective parameters such as expansion order of modeling, orbit height, inclination, latitude and longitude on accuracy of modeling is investigated. The simulation results for several scenarios are presented and discussed. The linear and nonlinear transformations of the models from orbital frame to spacecraft body frame are compared for a wide range of attitude angles in order to investigate the sensibility and validity of linear transformation. Simulation of a spacecraft attitude control maneuver is performed to demonstrate the importance of the accuracy of the magnetic field model which is implemented in the attitude control system. The results indicated a meaningful increase in control effort when a simplified model was used. This research was aimed to investigate the borders of different geomagnetic field models and transformations for spacecraft attitude control applications. The presented results may lead to a proper choice of the Earth's magnetic field model based on the space mission requirements.
机译:在本文中,对在航天器姿态控制应用中广泛使用的地球磁场模型进行了建模,并与参考模型进行了广泛的比较。参考模型是使用上一代国际地磁参考场(IGRF-12)的系数获得的。世界磁场模型(WMM)通过磁场强度和方向验证了该模型的有效性。然后使用参考模型评估低阶模型和近似模型,同时研究有效参数(如建模扩展顺序,轨道高度,倾角,纬度和经度)对建模精度的影响。给出并讨论了几种方案的仿真结果。为了研究线性变换的敏感性和有效性,比较了模型从轨道框架到航天器机身框架的线性和非线性变换。进行了航天器姿态控制操纵的仿真,以证明在姿态控制系统中实现的磁场模型的准确性的重要性。结果表明,使用简化模型时,控制工作量显着增加。这项研究的目的是研究航天器姿态控制应用的不同地磁场模型和转换的边界。提出的结果可能会导致根据太空任务要求正确选择地球磁场模型。

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