Abstract

Rotation of a permanently polarized rigid body under the radiation reaction torque is considered. Dynamics of the spinning top is derived from a balance condition of the angular momentum. It leads to the non-integrable nonlinear 2nd-order equations for angular velocities, and then to the reduced 1st-order Euler equations. The example of an axially symmetric top with the longitudinal dipole is solved exactly, with the transverse dipole analyzed qualitatively and numerically. Physical solutions describe the asymptotic power-law slowdown to stop or the exponential drift to a residual rotation; this depends on initial conditions and a shape of the top.

Graphical abstract

中文翻译：

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辐射反应下刚体电偶极子的旋转动力学

摘要

考虑在辐射反作用扭矩下永久极化的刚体的旋转。陀螺的动力学是从角动量的平衡条件得出的。它导致了不可积分的非线性二阶方程的角速度，然后导致了简化的一阶欧拉方程。精确求解了带有纵向偶极子的轴对称顶部的示例，对定性和数值分析了横向偶极子。物理解描述了渐近幂律停止减速或指数漂移到剩余旋转的过程。这取决于初始条件和顶部形状。

图形概要