Abstract
This study derives the exact frequency observed for electromagnetic waves emitted during uniform acceleration. In the classic case the frequency observed is typically calculated using the formula f = f0 (1+gH/c2) where ‘f0‘ is relevant to the source and g represents the constant acceleration. At least in Feynman’s Lectures, such formula is derived directly as a first order approximation from the relativistic Doppler effect. Relativistic relations are used to determine the exact light-time between the source and observer. It is found that, if g represents the proper acceleration, the frequency ratio remains the same as in the classic case (1+gH/c2). Being that value exact, no higher order relation exists where it can be derived from. The absence of higher order terms depends on a peculiar compensation of two relativistic effects.
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