Quasi-analytical equilibrium solutions for plasmas rotating in the toroidal direction are presented. The formalism provides control of the plasma shape (aspect ratio, elongation and triangularity) and allows to independently set the values of the rotation velocity (Mach number) and the plasma current and β . Explicit expressions for the shape coefficients and examples of equilibria calculated with this method are presented.

中文翻译：

---

具有环形旋转和形状控制的拟分析平衡

提出了沿环形方向旋转的等离子体的准解析平衡解。形式主义提供了对等离子体形状（长宽比，伸长率和三角形度）的控制，并允许独立设置转速（马赫数），等离子体电流和β的值。给出了形状系数的显式表达式和用该方法计算的平衡示例。