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A Simple Application of a Trigonometric Inequality to the Relativistic Doppler Effect

Elmo Benedetto

Department of Computer Science, University of Salerno, Via Giovanni Paolo II, 132, 84084 Fisciano (Sa), Italy

Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

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Luca D’Errico

Independent Researcher, Lindau (Bodensee), Germany

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Antonio Feoli

Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

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, and

Antonella Lucia Iannella

Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy

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https://doi.org/10.1142/S266133952320007XCited by:1 (Source: Crossref)

Abstract

In recent years, the special theory of relativity (SR) has been included in high school curricula in almost all countries. In addition to the classic demonstrations of the relativity of time and lengths, another interesting relativistic phenomenon that is shown, is the transverse Doppler effect. Obviously it is not possible to rigorously prove, at the high school level, the final relation but, from it, we have analyzed some physical consequences using trigonometry. In this paper, which has a didactic aim, we summarize one of our lessons held during some of the in-depth lectures on relativity that we often organize for high school students in our area.

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