Frequency and Wavelength of Light for Relativistically Rotating Frames

Abstract

Non-time-orthogonal frame analysis is applied to determine the frequency and wavelength of light as observed i) in a relativistically rotating frame when emission is from a source fixed in the non-rotating frame, ii) in a non-rotating frame when emission is from a source fixed in the rotating frame, and iii) when both source and observer are fixed in the rotating frame and the source emission direction varies with respect to the rotating frame. Appropriate Doppler effects are demonstrated, and second order differences from translating (time-orthogonal) frame analysis are noted.