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首页> 外文期刊>Physics - Uspekhi >The Relation of Thomas Precession to Ishlinskii's Theorem as Applied to the Rotating Image of a Relativistically Moving Body
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The Relation of Thomas Precession to Ishlinskii's Theorem as Applied to the Rotating Image of a Relativistically Moving Body

机译：托马斯岁差与伊什林斯基定理的关系，应用于相对论运动物体的旋转图像

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摘要

It is shown that for a solid body following a curvilinear trajectory its rotation angle due to the effect of the special theory of relativity (Thomson precession) is numerically equal to the rest-frame-observed solid angle through which the body-fixed axis turns as a consequence of the rotation change the body image undergoes due to Lorentz length contraction and the retardation of the light emitted by various portions of the body. In classical mechanics, the same relation connects the solid-body rotation angle to the actual solid angle that the body-fixed axis describes as the body performs a conical motion-which is a consequence of Ishlinskii's theorem.
机译：结果表明，对于遵循曲线轨迹的固体，其旋转角由于相对论的特殊理论（汤姆逊进动）的影响，在数值上等于静置框架所观察到的立体角，固定轴通过该立体角旋转为由于洛伦兹长度收缩和人体各个部位发出的光的延迟，人体图像发生旋转变化的结果。在经典力学中，相同的关系将实体旋转角与实体固定轴在物体执行圆锥运动时所描述的实际立体角联系在一起，这是伊什林斯基定理的结果。

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