论文标题
将颗粒的轨迹拟合在磁偶极子的赤道平面中
Fitting the trajectories of particles in the equatorial plane of a magnetic dipole with epicycloids
论文作者
论文摘要
在本文中，我们讨论了轴对称磁场中带电颗粒的轨迹的上环状近似。在指导中心的近似中，表环轨迹很自然，我们详细研究了这种方法中产生的错误。我们还讨论了如何在磁偶极子的赤道平面中使用精确的结果来显着扩展该近似值的精度。我们还表明，比沿轨迹沿粒子的位置更准确地近似带电粒子的轨迹。
In this paper we discuss epicycloid approximation of the trajectories of charged particles in axisymmetric magnetic fields. Epicycloid trajectories are natural in the Guiding Center approximation and we study in detail the errors arising in this approach. We also discuss how using exact results for particle motion in the equatorial plane of a magnetic dipole the accuracy of this approximation can be significantly extended. We also show that the epicycloids approximate the trajectory of a charged particle more accurately than the position of the particle along the trajectory.
