NO RELATIVISTIC DOPPLER EFFECT

http://en.wikipedia.org/wiki/Relativ...Doppler_effect
"Assume the observer and the source are moving away from each other
with a relative velocity v (v is negative if the observer and the
source are moving toward each other). Considering the problem in the
reference frame of the source, suppose one wavefront arrives at the
observer. The next wavefront is then at a distance L=c/f_s away from
him (where L is the wavelength, f_s is the frequency of the wave the
source emitted, and c is the speed of light). (...) Lo/Ls=f_s/f_o=..."

The equation Lo/Ls=f_s/f_o characterizes the RELATIVISTIC Doppler
effect only - its raison d'être is Divine Albert's 1905 whim (the
speed of light is constant and that's it). For any wave other than a
light wave the wavelength measured in the frame of the observer, Lo,
does not vary with the speed of the observer so in the case of a
stationary source and a moving observer the relevant equation is c'/
c=f_o/f_s, where c'=c-v is the speed of the wave relative to the
observer.

It can be shown that, even for light waves, Lo/Ls=f_s/f_o is
contradictory so c'/c=f_o/f_s is the only plausible equation. Let us
assume that Einsteinians are correct in that Lo somehow varies with
the speed of the observer (so that the speed of light could gloriously
remain constant yes we all believe in relativity, relativity,
relativity). Initially both the source and the observer are stationary
so Lo=Ls holds good. Then the source starts moving with speed v and we
notice that Ls, the wavelength measured in the frame of the source,
remains unchanged (this is not valid for waves other than light
waves). Since the observer has not moved, Lo remains unchanged as
well, in accordance with our assumption. That is, Lo=Ls holds good
again. Of the two equations, Lo/Ls=f_s/f_o and c'/c=f_o/f_s, only the
latter is compatible with Lo=Ls.

Pentcho Valev