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New Doppler effect formula

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The special theory of relativity takes particular pride in the transverse Doppler effect (TDE). Apart from Voigt’s (1887) work which has an incomplete explanation, the equation from which the TDE is derived is first seen in Einstein’s (1905) work. However, in this equation, the cosine of the angle and Lorentz factor are inserted arbitrarily. This paper will, through calculation and with precision (without postulates, without additional assumptions, and without approximation), derive a general formula for the Doppler effect at an arbitrary angle between the direction of motion of the source and the direction in which the observer receives the signal. Finally, the longitudinal Doppler effect and TDE can be obtained quite naturally from this formula.
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Keywords: Doppler Effect; Longitudinal Doppler Effect; Transverse Doppler Effect

Document Type: Research Article

Publication date: December 1, 2016

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  • Physics Essays has been established as an international journal dedicated to theoretical and experimental aspects of fundamental problems in Physics and, generally, to the advancement of basic knowledge of Physics. The Journal's mandate is to publish rigorous and methodological examinations of past, current, and advanced concepts, methods and results in physics research. Physics Essays dedicates itself to the publication of stimulating exploratory, and original papers in a variety of physics disciplines, such as spectroscopy, quantum mechanics, particle physics, electromagnetic theory, astrophysics, space physics, mathematical methods in physics, plasma physics, philosophical aspects of physics, chemical physics, and relativity.
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