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.doi:10.1142/S0217732322502388Sfarti, A.World Scientific Publishing...
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Huygens' Principle (1678) implies that every point on a wave front serves as a source of secondary wavelets, and the new wave front is the tangential surface to all the secondary wavelets. But two problems arise: portions of wavelets that exist outside of the new wave front combine to ...
The error starts from Sec.3, Eq.(3.2) whereby the scalar value of the wave-vector needs to be corrected. The net result is that the final formulas for the relativistic Doppler effect and for aberration get simplified. The source of the error is an extra multiplication factor by " c "....
A special case of the relativistic Doppler effect, which occurs when light reflects from a moving mirror, is discussed. The classic formula for the Doppler shift is derived in a fully non-relativistic fashion using basic facts from geometry. The derivation does not involve Lorentz transformations,...
In the context of the relativistic Doppler effect [DE] and the Lorentz-Fitzgerald contraction [LF], we investigate the consequences of two abstract axioms [R] and [M] expressed in terms of an operation generalizing the addition of velocities and a function. The latter can represent either the...
Time delay effectLength contraction effectDoppler frequency shift formulaMoving mass formulaRelativistic velocity transformation formulaIn this paper, we try to use a new way to deduce the transformation formula of special relativity. On the premise of not assuming that time delay and length contraction...
2006. Explicit derivation of the relativistic mass-energy relation for internal kinetic and potential energies of a composite system. Eur. J. Phys. 27: 103-107, 2006.Plakhotnik T 2006 Explicit derivation of the relativistic mass-energy relation for internal kinetic and potential energies of a ...