Euler potentials of the Earth's dipole magnetic field with field‐aligned currents are found. The results generalize ones obtained earlier for systems of plane currents parallel to an ambient uniform magnetic field. A real current system corresponding to an observed increase of the magnetic field measured by a low‐altitude spacecraft is used in this modeling. Parameters of charged particle trajectories, such as length and period, are determined for typical and strongly disturbed conditions. A particle distribution function is calculated.

中文翻译：

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具有磁场对准电流的地磁场的欧拉势

找到了具有场对准电流的地球偶极磁场的欧拉势。结果概括了较早获得的平行于环境均匀磁场的平面电流系统的结果。在此模型中，使用了与低空航天器测得的磁场观察到的增加相对应的实际电流系统。确定带电粒子轨迹的参数（例如长度和周期），用于典型和强烈干扰的条件。计算粒子分布函数。