Motion of a charge in a magnetic dipole field. I. Painlevé analysis and a conservative numerical scheme
Motion of a charge in a magnetic dipole field. I. Painlevé analysis and a conservative numerical scheme
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DOI：
10.1016/0096-3003(88)90072-0
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发表时间：
1988-02
影响因子：
4
通讯作者：
L. Vázquez;S. Jiménez
中科院分区：
文献类型：
--
作者：
L. Vázquez;S. Jiménez
我们提出了一种新的数值格式来积分带电粒子在磁偶极子场中的运动方程。该格式是保持时间反转对称的，并且它显示了底层连续方程的两个守恒量的离散版本。我们还通过使用一种据我们所知是新的方法来介绍系统的painlev<s:1>分析。
We present a new numerical scheme to integrate the equations of motion of a charged particle in a magnetic dipole field. The scheme is time-inversion symmetry preserving, and it shows a discrete version of the two conserved quantities of the underlying continuous equation. We also present the Painlevé analysis of the system by using an approach which to our best knowledge is new.