2009/02/06 by Jean Reignier, Reignier, Jean
Earth and Planetary Sciences · Physics and Astronomy · #Adaptive optics and wavefront sensing #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Gravity Measurements #History and Developments in Astronomy #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.0902.1034
arxiv created 2009/02/06 · openalex publication_date 2009/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I propose an alternative, purely kinematical, derivation of Einstein's Doppler formula. It is valid for periodic signals of any shape that propagate with the velocity of light. The formula is asymptotic in a parameter proportional to the relative variation of the distance source-receiver during one period. As a by-product, I also derive an alternative proof of Einstein's aberration formulae.