辐射反应下刚体电偶极子的旋转动力学
Rotary dynamics of the rigid body electric dipole under the radiation reaction
摘要：
研究了永久极化刚体在辐射反力矩作用下的转动问题。陀螺的动力学是从角动量的平衡条件导出的。它导致不可积的非线性二阶角速度方程，然后到约化的一阶欧拉方程。对纵向偶极子作用下的轴对称陀螺算例进行了精确求解，对横向偶极子作用下的陀螺算例进行了定性和数值分析。物理解描述了渐近幂律减速到停止或指数漂移到剩余旋转;这取决于初始条件和顶部的形状。
英文摘要：
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 is 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
