Galilean Transformation
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The 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. This is the passive transformation point of view. The equations below, although apparently obvious, break down at speeds that approach the speed of light due to physics described by Einstein's theory of relativity. Galileo formulated these concepts in his description of uniform motion. The topic was motivated by Galileo's description of the motion of a ball rolling down a ramp, by which he measured the numeric...
The 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. This is the passive transformation point of view. The equations below, although apparently obvious, break down at speeds that approach the speed of light due to physics described by Einstein's theory of relativity. Galileo formulated these concepts in his description of uniform motion. The topic was motivated by Galileo's description of the motion of a ball rolling down a ramp, by which he measured the numerical value for the acceleration of gravity, at the surface of the Earth. The descriptions below are another mathematical notation for this concept.
