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English: 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.
transform between the coordinates of two reference frames which differ only by constant relative motion within the constructs of Newtonian physics
|Subclass of||smooth function|
Media in category "Galilean transformation"
The following 6 files are in this category, out of 6 total.
- Galilean and Spacetime coordinate transformations.png 730 × 507; 35 KB
- Galilean Spacetime and composition of velocities.svg 468 × 447; 24 KB
- Galilean transformation zh.svg 800 × 600; 4 KB
- Galilei tf grid.PNG 320 × 256; 11 KB
- Galilei tform.PNG 640 × 368; 12 KB
- Standard conf.png 390 × 335; 21 KB