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QED-based derivation of the general forms of the relativistic Doppler effect and of the relativistic aberration for uniformly rotating frames and for uniformly accelerated frames

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- Erratum: QED-based derivation of the general forms of the relativistic Doppler effect and of the relativistic aberration for uniformly rotating frames and for uniformly accelerated frames

A. Sfarti

A. Sfarti

https://orcid.org/0000-0002-2973-7140

Computer Science Department, 387 Soda Hall, UC Berkeley, CA, USA

E-mail Address: egas@pacbell.net

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https://doi.org/10.1142/S0217732322502388Cited by:1 (Source: Crossref)

Abstract

This paper derives the most general form of the relativistic Doppler effect and of the relativistic aberration starting from base principles available in classical electrodynamics and from the Lorentz transforms of the energy-momentum. We derive the relativistic Doppler and the relativistic aberration formulas for the case of both source and receiver moving in arbitrary directions with respect to an inertial reference frame as viewed from either a uniformly rotating or a uniformly accelerated frame.

Keywords:

PACS: 03.30.+p, 52.20.Dq, 52.70.Nc

References

1. C. Moller, The Theory of Relativity (Oxford Press, 1960). Google Scholar
2. L. H. Thomas, Nature 117, 514 (1926). Crossref, ADS, Google Scholar
3. A. Ben-Menahem, Am. J. Phys. 53, 62 (1985). Crossref, Web of Science, ADS, Google Scholar
4. S. J. Ben-Menahem, Math. Phys. 27, 1284 (1986). Crossref, Web of Science, ADS, Google Scholar
5. H. Kroemer, Am J. Phys. 72, 51 (2004). Crossref, Web of Science, ADS, Google Scholar
6. J. A. Rhodes and M. D. Semon, Am. J. Phys. 72, 943 (2005). Crossref, Web of Science, ADS, Google Scholar
7. G. B. Malykin, Phys. Usp. 49, 837 (2006). Crossref, Web of Science, ADS, Google Scholar
8. M. I. Krivoruchenko, Phys. Usp. 52, 821 (2009). Crossref, Web of Science, ADS, Google Scholar
9. A. Sfarti, Fizika A 18, 45 (2009). Google Scholar
10. A. Sfarti, Fizika A 19, 119 (2010). Google Scholar
11. A. Sfarti, Indian J. Phys. 86, 937 (2012). Crossref, ADS, Google Scholar
12. K. Rebilas, Eur. J. Phys. 34, L55 (2013). Crossref, Web of Science, Google Scholar
13. R. A. Nelson, J. Math. Phys. 28, 2379 (1987). Crossref, Web of Science, ADS, Google Scholar
14. http://paulbourke.net/geometry/rotate. Google Scholar
15. A. Sfarti, J. Appl. Phys. Sci. Int. 5, 205 (2016). Google Scholar
16. A. Sfarti, Eur. J. Appl. Phys. 4, 42 (2022). Crossref, Google Scholar