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Could the rotation vs velocity cancel out the Doppler shifts of light?

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Could the rotation vs velocity cancel out the Doppler shifts of light?

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Do you mean, could Doppler shift due to rotation cancel out Doppler shift due to radial motion of the object with respect to the observer? Not really, because for a rotating object, different parts of the object are moving at different velocities with respect to the observer: some parts of the object are moving towards the observer, and some parts are moving away. Rotational Doppler shift results in a spreading of spectral lines, whereas translational motion Doppler shift results in a shift of lines. If both kinds of motion are going on, then what you get is broadened, shifted spectral lines.

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