Some notes on the relativistic Doppler effect

Yu.I. Hovsepyan
Astro Space Centre, Lebedev Physical Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117997, Russian Federation

The properties of the analytical formula of the relativistic Doppler-effect are discussed from the geometric standpoint. It is shown, in particular, that, contrary to the widely accepted view, as the observer and the source of electromagnetic radiation approach one another, in addition to the violet shift also a zero and a red shift (z \geqslant 0) can be observed depending on the angle θ between the vector of relative velocity β and the observation direction.

PACS: 03.30.+p, 42.25.Bs, 98.62.Py (all)
DOI: 10.1070/PU1998v041n09ABEH000443
URL: https://ufn.ru/en/articles/1998/9/g/
Web of Science

000076559800005
Citation: Hovsepyan Yu I "Some notes on the relativistic Doppler effect" Phys. Usp. 41 941–944 (1998)

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Оригинал: Овсепян Ю И «Некоторые особенности релятивистского доплер-эффекта» УФН 168 1037–1040 (1998); DOI: 10.3367/UFNr.0168.199809g.1037

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V.A. Aleshkevich “On special relativity teaching using modern experimental data” Phys. Usp. 55 1214–1231 (2012)
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S.I. Syrovatskii “On the problem of the ’retardation’ of the relativistic contraction of moving bodies” Sov. Phys. Usp. 19 273–274 (1976)
N.N. Rozanov “Superluminal localized structures of electromagnetic radiation” Phys. Usp. 48 167–171 (2005)
G.B. Malykin “Para-Lorentz transformations” Phys. Usp. 52 263–266 (2009)
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V.I. Ritus “Permutation asymmetry of the relativistic velocity addition law and non-Euclidean geometry” Phys. Usp. 51 709–721 (2008)
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Gaite José “The relativistic virial theorem and scale invariance” Phys. Usp. 56 919–931 (2013)
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A.A. Logunov “The theory of the classical gravitational field” Phys. Usp. 38 179–193 (1995)

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