Steven
Eckard has called on your expertise. I agree you should be able to assist. I copy my most recent post here;
"Eckard
I responded to your post on my blog with more links (as you felt one was inadequate) and don't have Google. (I refer to your post about my wishful thinking and lack of knowledge).
You suggest my; "reasoning starts with the wrong for waves in the far field assumption that the wave speed re medium depends on the emitter."
The exact reverse is true. You had understood that a few weeks ago but seem now to have forgotten again. I can find no cause for this except that again you didn't follow my advice for gaining better comprehension. I've suggested we all need to dig deeper to find and remove those assumptions which we otherwise revert back to as a 'default mode' the moment we loose concentration.
In fact this is as true for sound, your familiar subject, as it is for light. The signal from the ear to the brain has a 'wavelength', which varies subject to the motion of the body. I suggest a calculation will show this also differs from the wavelength in the 'outside' medium. It would take a completely fresh view of the familiar to see the important consequences of this; The frequency is inversely proportional to lambda, as speed is controlled by the local medium. It is precisely the same for em waves.
I think my full reply on my string should straighten this out. You say you defer to Steve Sycamore's expert view. I also respect Steve's view and believe he'll unequivocally confirm the above. I'll flag this conversation up for Steve to comment."
Thanks, and Best wishes
Peter