论文标题

Melvin磁性宇宙中的低环运动

Hypocycloid motion in the Melvin magnetic universe

论文作者

Lim, Yen-Kheng

论文摘要

梅尔文磁性宇宙中带电的测试粒子的轨迹显示出在两个不同的方向上采用低环形的形式,其中首先是一类扰动的循环轨道,其次是在弱场近似中。在后一种情况下,我们发现粒子的电荷与牙的数量之间有一个简单的关系。这两个方案在梅尔文时空的磁通量强度参数范围内连续连接的变形多环类样轨道的家族中。

The trajectory of a charged test particle in the Melvin magnetic universe is shown to take the form of hypocycloids in two different regimes, first of which is the class of perturbed circular orbits, and secondly in the weak-field approximation. In the latter case we find a simple relation between the charge of the particle and the number of cusps. These two regimes are within a continuously connected family of deformed hypocycloid-like orbits parametrised by the magnetic flux strength of the Melvin spacetime.

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