Galilean transformations

Galilean transformations

The family of mathematical transformations used in newtonian mechanics to relate the space and time variables of uniformly moving (inertial) reference systems. In the simple case of two similarly oriented cartesian reference frames, moving along their common (x, x^′) axis, the transformation equations can be put in the form where x, y, z and x^′, y^′, z^′ are the space coordinates of a given particle, and v is the speed of one system relative to the other. See Frame of reference