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单词 Galilean transformations
释义

Galilean transformations

中文百科

伽利略变换 Galilean transformation

(重定向自Galilean transformations)
伽利略变换示意图
Configuración típica de un sistema de coordenadas en una transformación de Galileo.
Schéma du mouvement relatif des deux référentiel pour la transformation

伽利略变换是经典力学中用以在两个只以均速相对移动的参考系之间变换的方法,属于一种被动态变换。以下一些直观上明显成立的公式在物体以接近光速运动时就会瓦解,这是相对论性效应造成的。

伽利略·伽利莱在解释均速运动时制定了这一套概念。他用其解释球体滚下斜面这一力学问题,并测量出地球表面引力加速度的数值。

英语百科

Galilean transformation 伽利略变换

(重定向自Galilean transformations)
Standard configuration of coordinate systems for Galilean transformations.
伽利略变换示意图
Schéma du mouvement relatif des deux référentiel pour la transformation

In physics, a Galilean transformation is used to transform between the coordinates of two reference frames which differ only by constant relative motion within the constructs of Newtonian physics. These transformations together with spatial rotations and translations in space and time form the inhomogeneous Galilean group (assumed throughout below). Without the translations in space and time the group is the homogeneous Galilean group. The Galilean group is the group of motions of Galilean relativity action on the four dimensions of space and time, forming the Galilean geometry. This is the passive transformation point of view. The equations below, although apparently obvious, are valid only at speeds much less than the speed of light. In special relativity the Galilean transformations are replaced by Poincaré transformations; conversely, the group contraction in the classical limit c → ∞ of Poincaré transformations yields Galilean transformations.

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更新时间:2025/6/21 2:12:01