We
have to calculate the Doppler shift
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Solution: Click For PDF Version The relativistic Doppler frequency
for light of frequency
 emitted
from a source moving with velocity
such that the angle between
and the direction of observation as seen by the observer is
is given by the expression
As the source
is moving in a circle and the frequency of the emitted light is
measured by an observer stationary at the centre of the circle, the
angle between the velocity of the source and the line of observation
is
Therefore,
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,
if any, for the sodium
line (589.00 nm) emitted
from a source moving in a circle with constant speed
0.122c as
measured by an observer fixed at the centre of the circle.
.
.
This Doppler shift is of second order and is called the transverse
Doppler shift. As the source is rotating with constant speed of
0.122c, we have
.