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Which pretty much brings me back to my initial question. As an observer in
a ship moving at 87% the speed of light towards a star (but viewing the star
as moving towards me) and knowing special relativity, shouldn't I expect the
period of atomic emitters to have increased by a factor of two, therefore
the frequency to have decreased by a factor of two, but then the wavelengths
contracted by a factor of 2---washing out and leaving only a classical
Doppler shift? I know this is too simplistic, but where is the mistake?