1. Summer School 2007B. Rossetto1 6. Relative motion  Uniform relative transational motion x y 0 z x’ y’ 0’ z’ M (Galilean tranformation)

2. Summer School 2007B. Rossetto2 6. Relative motion  Uniform relative rotational motion (1) x y 0 z x’ z’ M y’ Coriolis accel. Counterclockwise horizontal component of Coriolis acceleration in Northern hemisphere (left direction) right direction in Southern hemisphere (inertial forces)

3. Summer School 2007B. Rossetto3 6. Relative motion  Uniform relative rotational motion (2) x y 0 z x’ z’ M y’ Coriolis accel. Proofs:

4. Summer School 2007B. Rossetto4 6. Relative motion  c=ctt : Lorentz transformation (1) x y 0 z x’ y’ 0’ z’ A flash emitted from O reaches M after time t M O’ (x,0,0) moves along Ox with the velocity v Relationship between t and t’ : Solving these equations:

5. Summer School 2007B. Rossetto5 6. Relative motion  C=ctt : Lorentz transformation (2) x y 0 z x’ y’ 0’ z’ M and then identify with Proof: replace x’ by and t’ by in with: We find: