What are the Galilean transformation equations?

The Galilean transformation equations refer to a set of mathematical equations that describe the relations between the space and time coordinates of an event as perceived by two observers in relative motion. These equations were formulated by Galileo Galilei in the 17th century and formed the foundation of classical (non-relativistic) physics. The Galilean transformation equations assume that space and time are absolute and independent of each other. They state that the position and time measured by the observers in different reference frames can be related by simple linear equations. However, these equations do not account for the effects of relativistic physics, such as time dilation and length contraction, which become significant at high speeds. Consequently, the Galilean transformation equations are only accurate within the limits of low relative velocities.

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