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I was playing around with a thought experiment where an observer is moving towards a light source at a speed infinitesimally less than C and it seems like, for any given wavelength, the maximum possible Doppler shift is 1/2. for example near infrared light with a wavelength of 800 nm would be doppler shifted to 400 nm if the observer was traveling extremely close to C.

Is that correct? Or are there relativistic effects that would make the shift greater (or less) than 1/2 the wavelength?

Is that correct? Or are there relativistic effects that would make the shift greater (or less) than 1/2 the wavelength?

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