Relativistic Doppler effect
1. Doppler effect for sound
We have found in the Doppler effect for soud lecture ,
the following results:
1. Moving source forward an observer at rest
ƒ_{obs} = ƒ . V_{w}/(V_{w}+ V_{s})
Where ƒ_{obs} is the apparent frequency for the
Observer, and ƒ is the real frequency of the wave.
2. Moving source toward an observer at rest
ƒ_{obs} = ƒ . V_{w}/(V_{w} V_{s})
ƒ_{obs} is the apparent frequency.
3. Moving source and observer
ƒ_{obs} = ƒ . (V_{w}+V_{o})/(V_{w}V_{s})
2 Relativistic Doppler effect for light
According to the dilatation of time, we have
ƒ = 1/T' = 1/γT, hence:
ƒ_{obs} = ƒ [(1 + v/c)/(1  v/c)]^{1/2}
for source and receiver approching, and
ƒ_{obs} = ƒ [(1  v/c)/(1 + v/c)]^{1/2}
for source and receiver receding
