Am I right in saying that the only difference between relativistic and normal Doppler effects is that the relativistic one takes into account that the period is not constant with different speeds? Is there anything else apart from the effects of this?

Question

jamesj · Answer

A major difference is symmetry:

The non-relativistic Doppler effects are asymmetric: If you are moving towards/away from the source then what you will hear is different from the source moving towards/away from you at the same speed.

In the relativistic version, such statements as "source is moving towards the receiver" or vice versa are illegal and, as such, the relativistic Doppler effect is symmetric.

anonymous · Answer

Additionally, the mechanisms by which the two come about are completely different.  The effects are similar, though, hence the shared name.