How Does Galaxy Rotation and Recession Affect Observed Light Frequencies?

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A distant galaxy is both rotating and receding from Earth, with the center moving at a speed of 1.5 million m/s. The tangential speed of points A and B, which are equidistant from the center, is 0.3 million m/s. The observed light frequencies from these points differ from each other and from the emitted frequency of 6.400e14 Hz due to their relative velocities. The equation for calculating the observed frequency based on relative motion is provided, but the specific observed frequencies for points A and B need to be determined. Understanding these dynamics is crucial for analyzing the effects of galaxy rotation and recession on light frequencies.
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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 = 1.5e6 m/s. Relative to the center, the tangential speed is vT = 0.3e6 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 than the emitted frequency of 6.400e14 Hz.

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Vt = wr
fo = fs (1 +- vrel/c)

No idea where to start
 
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I am assuming that you have to work out what the measured frequencies of A and B are given their emitted frequency? You have the equation for finding the observed frequency compared to the emitted frequency:

f_o=f_s \left(1+\frac{v}{c}\right)

What is the relative velocity of points A and B from the Earth?
 
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