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Published online by Cambridge University Press: 26 May 2016
The formula of the Doppler effect of fireballs, which shows how the observational flux from fireballs would be expected, is presented. It shows, when the expansion speed is very large, a weak radiation at X-ray bands would be significantly enhanced to detectable levels and shifted to much higher bands to become a gamma-ray source; at the same time, the peak of the spectrum would shift to a much higher energy band as well.