Galilean Transformation: UNIZOR.COM - Relativity 4 All - Principles
Channel: Zor Shekhtman on UNIZOR Education
Date: 2023-05-16

UNIZOR.COM - Physics through a Looking Glass of Mathematician
Notes to a video lecture on http://www.unizor.com

Galilean Transformations

Here and in many other places of this course we will be dealing with two inertial reference frames moving relative to each other with constant speed.

Let's call one of these reference frames primary or α and its Cartesian axes will be called X,Y,Z.
The other system will be called secondary or β with axes x,y,z.

For simplicity, we assume that β reference frame at zero-time t=0 coincides with α.
We also assume that β frame is moving along the X-axis of α with constant speed V, preserving the parallelism of corresponding axes of these reference frames.

Time is considered absolute and the same for both reference frames.

Assume, there is a given stationary point P with coordinates {XP,YP,ZP} not changing with time in α frame.
Our task is to determine its coordinates {xP(t),yP(t),zP(t)} in β frame that moves relative to α as described above.

[Continue reading on UNIZOR.COM - Relativity 4 All - Principles - Galilean Transformation]