Question

A Familiar Doppler Problem (15 pts) When we discussed the relativistic Doppler effect in class, we talked about relative motion of source and observer toward or away from each other. The same was probably true for your previous classes that discussed the classical Doppler effect.
Imagine a case where a source is in uniform circular motion around an observer.
a) Classically, should there be a Doppler effect? Why or why not?
b) Relativistically, should there be a Doppler effect? Why or why not?
c) What is missing from our (or in fact any) discussion of special relativity to allow us to solve this problem completely?

Answer 1

a. no  there there shouldn't be

According to classical doppler effects, apparent change in frequency occurs due to the change in relative position of source and object

When the source is moving circularly around the observer distance between them is actually constant and hence the relative velocity between them is zero so no doppler effect

b. yes there will be

Relativistically for source moving in an angle from the observer the doppler effect is also calculated in this significant problem we substitute 90

c.time dilation