Sooooo, wavelengths (λ) become longer when something moves away (redshift) and become shorter when something moves towards you (blueshift).
For a red flag (λ0=610nm) to become a green flag (λ1=549nm), it has to move towards you quite fast. But how fast is ‘quite fast’?
Using the formula
flag_velocity / speed of light © = difference in wavelengths / starting wavelength
we get
flag_velocity = (610-549) / 610 * c = 61 / 610 * c = 1/10 * c
This means: the flag has to move with about c/10 = 30 000 000 m/s = 108 000 000 km/h = 67 108 100 mph. Yeah, that’s quite fast.
(Disclaimer:
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use info on own risk
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values for λ were chosen in a way to make calculations easy. There is no info on what shade of red or green the flag is. The final result will be about the same.
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With speeds at around 10% of c, I should use the formula considering the relativistic doppler effect… However, i wont. Thanks.)
Well, instead of moving the flag, we could collapse the space in between us rapidly. Would that be easier? I think I have some dark energy around here somewhere…
They did the math
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