The discussion focuses on the differences between the normal Doppler effect, which occurs at constant relative speeds, and the Doppler effect in accelerated frames where the light source is accelerating relative to the observer. It highlights that in accelerated frames, the frequency shift becomes time-dependent and is influenced by initial velocity and acceleration. The conversation emphasizes the need to consider relativistic effects when dealing with light, especially at high velocities approaching the speed of light. The gravitational equivalence principle is mentioned as a way to understand how acceleration affects the frequency and wavelength of light, resulting in redshift and blueshift phenomena. Overall, the impact of acceleration on the Doppler effect is significant and requires a relativistic approach for accurate analysis.