To shift green light (570 nm) to blue light (475 nm) while traveling in a jet or spaceship, one must apply the relativistic Doppler effect formula. The formula f_o = f_s √((1 + β)/(1 - β)) is essential, where β represents the ratio of the object's speed to the speed of light. To determine the necessary speed, solve for β and convert the wavelength to frequency using c = fλ. This calculation reveals the frequency shift experienced by an observer as the light source approaches. Understanding these principles allows for the exploration of light behavior at high velocities.