Consider a distant, "fixed" star located directly above the orbit of the Earth around the Sun.
(a) Use the Lorentz transformation equations for the velocity components to deduce the direction of the velocity of the starlight incident on the (moving) Earth.
What is the shift in the angular position of the star in six months?
(b) Repeat the calculations using the Galilean transformation equations instead of the Lorentz transformation equations and comment on the differences in your results. This affect is known as the "aberration of starlight" and was an early indicator that something was wrong with the Newtonian picture of space-time.