论文标题
网球拍效应的几何起源
Geometric Origin of the Tennis Racket Effect
论文作者
论文摘要
The tennis racket effect is a geometric phenomenon which occurs in a free rotation of a three-dimensional rigid body.在复杂的相空间中，我们表明这种效应源自黎曼表面的极点，并且可以视为Picard-Lefschetz公式而被视为。 We prove that a perfect twist of the racket is achieved in the limit of an ideal asymmetric object. We give upper and lower bounds to the twist defect for any rigid body, which reveals the robustness of the effect.一种类似的方法描述了dzhanibekov效应，其中翅膀螺母在其中央轴周围旋转，突然在垂直轴和怪物翻转周围翻转半身，这几乎是不可能的滑板板技巧。
The tennis racket effect is a geometric phenomenon which occurs in a free rotation of a three-dimensional rigid body. In a complex phase space, we show that this effect originates from a pole of a Riemann surface and can be viewed as a result of the Picard-Lefschetz formula. We prove that a perfect twist of the racket is achieved in the limit of an ideal asymmetric object. We give upper and lower bounds to the twist defect for any rigid body, which reveals the robustness of the effect. A similar approach describes the Dzhanibekov effect in which a wing nut, spinning around its central axis, suddenly makes a half-turn flip around a perpendicular axis and the Monster flip, an almost impossible skate board trick.
