Re: The correct Doppler formula falsifies relativity
- From: Igor <thoovler@xxxxxxxxxx>
- Date: Wed, 30 Apr 2008 11:53:17 -0700 (PDT)
On Apr 30, 1:36 pm, Albertito <albertito1...@xxxxxxxxx> wrote:
This is the correct Doppler formula for all moving
bodies,
f' = Exp(-v/c) f
where,
f is the ffrequency at the source, and
f' is the observed frequency.
If the observer and the source are moving directly
away from each other, the velocity is v > 0, and v < 0
if they are approaching.
Consider now, the relativistic Doppler formula
f_r' = sqrt((1 - v/c)/(1 + v/c)) f
We can expand both equations, f' and f_r', in their
respective power series until any arbitrary order, and
see the ratio f'/f_r is
f'/f_r = 1 - x^3/3 - x^5/5 + x^6 /18 - x^7/7 + ...
where x = v/c.
So, in any experimental test for that ratio, you'd have
to deal with measurement accuracies that could at
least make the term x^3/3 significant.
I think you must have left out the part where you actually derived the
so-called correct Doppler formula from first principles. Other than
that, your post was fine.
.
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