对准转子的Størmer问题
The Størmer problem for an aligned rotator
摘要：
研究了旋转均匀磁化天体场中粒子的有效势能。旋转轴与磁场的轴重合。人体的电磁场由偶极磁场和四极电场组成。捕获区域的几何形状作为磁场大小和旋转速度的函数进行了研究。这些参数的不同值的势能拓扑的例子。与经典Størmer问题的主要区别在于，Størmer预测的单一环形俘获区被分为赤道俘获区和离赤道俘获区。本文讨论了具有真空磁层的旋转均匀磁化球的理想模型对实际天体的适用性。
英文摘要：
The effective potential energy of the particles in the field of rotating uniformly magnetized celestial body is investigated. The axis of rotation coincides with the axis of the magnetic field. Electromagnetic field of the body is composed of a dipole magnetic and quadrupole electric fields. The geometry of the trapping regions is studied as a function of the magnetic field magnitude and the rotation speed of the body. Examples of the potential energy topology for different values of these parameters are given. The main difference from the classical Størmer problem is that the single toroidal trapping region predicted by Størmer is divided into equatorial and off-equatorial trapping regions. Applicability of the idealized model of a rotating uniformly magnetized sphere with a vacuum magnetosphere to real celestial bodies is discussed.
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