A distant galaxy is simultaneously rotating and receding from the earth. As the

Question

A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 1.50 × 106 m/s. Relative to the center, the tangential speed is vT = 0.590 × 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different from the emitted frequency of 5.297 × 1014 Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.)

Explanation / Answer

f = fo (c + vr)/(c + vs)

where
c is the velocity of waves in the medium = speed of light
vr is the velocity of the receiver relative to the medium; positive if the receiver is moving towards the source;
vs is the velocity of the source relative to the medium; positive if the source is moving away from the receiver.

PS; you can read doppler effect from wiki

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