SELF

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S.B. Karavashkin and O.N. Karavashkina

Conclusions

The comparative analysis of mathematical and phenomenological descriptions of Doppler effect on the basis of classical and relativistic models of observer's non-central motion as to stationary source showed the following:

- transverse Doppler effect is described by classical formalism which considerably differs from relativistic description;

- in distinct from relativistic solution, classical Doppler effect depends on the aimed distance between the source and observer; dependence on the momentary angle between the observer's motion and source, just as the dependence on ratio of observer's speed to speed of light, are basically different, though partially similar in the type of regularities at small speeds of observer;

- in compared conceptions, the difference in the value of longitudinal effect takes place mainly when the observer approaches the source with relativistic speed; the relativistic conception predicts an unlimited growth of received frequency in observer's speed approaching the speed of light, while classical conception predicts only redoubling frequency, and just classical predictions are fully consistent with phenomenology of effect;

- the classical transverse Doppler effect, in distinct from relativistic description, is limited to the domain of small aimed distances and considerably dependent on the frequency of source signal; with growing frequency, the received frequency monotonously approaches to the source frequency;

- the directions of frequency shifts in transverse effect predicted by classical and relativistic conceptions are opposite for all values of speed, and just the classical solution is consistent with phenomenology of effect.

We also cleared that the cause of so considerable inaccuracy of relativistic predictions of Doppler frequency shift is incorrect Fitzgerald's premise of reduced space-time intervals in moving reference frames based on erroneous calculation of beam trajectories made by Michelson and by Lorentz in their interferometric studies of aether wind.

Supplement to the study of classical transverse Doppler effect in respond to received criticism

Supplement 2. Substantiation of gross mistakes in the relativistic derivation of expression for the transverse Doppler effect, which we revealed in the paper and in the first supplement to it

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