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Relativistic Doppler Effect
The relativistic doppler effect formula is articulated as,
\begin{array}{l}v’=v\sqrt{\frac{1+\frac{v}{c}}{1-\frac{v}{c}}}\end{array}
if β = v/c then relativistic doppler effect formula is articulated as,
\begin{array}{l}v’=v\sqrt{\frac{1+\beta }{1-\beta }}\end{array}
Where,
The Apparent frequency (the frequency of observer) is ν’,
The Real frequency (frequency of the source) is ν.
The observer’s velocity v is,
The speed of light is c.