Dynamics of a centrifugally driven particle moving along a magnetically prescribed trajectory (e.g. pulsar magnetic field line) in a spacetime of a rotating massive body is considered. We do assume that the particle is on a zero Landau level and is not losing energy via synchrotron or any other kind of radiation. Based on this model we further study in detail the zero-gravity limit, reconsider the “straight field-line” gedanken experiment case (Machabeli and Rogava in Phys Rev A 50:98, 1994) in the “bead-on-the-wire” approximation and find previously overlooked exact analytic solutions for the most general set of initial values. We analyze different regimes of a particle dynamics, classifying them in their relation with specific initial conditions. We conclude by indicating further directions of the study and discussing possible areas of astrophysical applications.

中文翻译：

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离心驱动的相对论粒子：一般处理和新解决方案

考虑了在旋转大质量天体的时空中，离心驱动粒子沿磁性规定轨迹（例如脉冲星磁力线）运动的动力学。我们确实假设粒子处于零朗道能级，并且不会通过同步加速器或任何其他类型的辐射损失能量。基于这个模型我们进一步详细研究了零重力极限，重新考虑了“bead-on-the-wire”中的“直线场线”gedanken实验案例（Machabeli and Rogava in Phys Rev A 50:98, 1994） ” 近似并为最一般的初始值集找到以前被忽视的精确解析解。我们分析粒子动力学的不同状态，根据它们与特定初始条件的关系对它们进行分类。