平均角速度
Average Angular Velocity
摘要：
本文讨论了旋转运动和内部运动分离的问题。它引入了平均角速度的概念，作为粒子角速度转动惯量加权平均。它扩展并阐明了Jellinek和Li（1989）关于任意（非线性）$N$ -粒子系统中整体转动能量分离的概念。它将所谓的柯尼希定理关于动能的两个部分（质心加内能）推广到三个部分：质心、转动和相对于最佳平移和转动坐标系的剩余内能。
英文摘要：
This paper addresses the problem of the separation of rotational and internal motion. It introduces the concept of average angular velocity as the moment of inertia weighted average of particle angular velocities. It extends and elucidates the concept of Jellinek and Li (1989) of separation of the energy of overall rotation in an arbitrary (non-linear) $N$-particle system. It generalizes the so called Koenig's theorem on the two parts of the kinetic energy (center of mass plus internal) to three parts: center of mass, rotational, plus the remaining internal energy relative to an optimally translating and rotating frame.
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