Pentcho, et al.
Please give your views on this;
In Earth's atmosphere, the particles are also emitters, absorbing and re-emitting. This is as found empirically.
In this case there are two different cases in your scenario of moving emitter or observer, but emission is always at c in both;
A) Emitter; If the emitter is at rest in the air it emits and propagates at c.
B) If the emitter moves, as the signals interact with the atmosphere they are re-emitted at c wrt the atmosphere, so propagation reverts to case A), of c in the re-emitting medium, but Doppler shifted.
B)Detector. It must have a lens or antenna which interacts to detect. If at rest in the medium there is no additional Doppler shift.
A) If the detector moves wrt the medium (the emitter was at rest) he has no information on the propagating wavelength, but as he move between each peak (or photon) arriving he will find a shorter (or longer) time and wavelength, but only once the second peak has arrived. Relative approach speed was c+v, but if he assumes wavelength and time between peaks arriving hasn't been changed by the interaction he's being a bit dim. Current theory is then being a bit dim.
Conclusions;
a) All emission is at speed c.
b) All propagation is at speed c in the local medium (space is just a diffuse medium so the change, or 'extinction distance' takes longer).
c) For observers moving in the medium the approach speed is c+v.
d) The only information a detector obtains is time between arrival peaks/photons in HIS frame. He can only assume or calculate approach speed and wavelength.
e) We currently assume wrongly that either approach speed is always c, or that speed IN our lens/antenna is c+v. BOTH are then incorrect. The approach medium and moving detector are discrete inertial 'fields' (DFM) which light changes speed to local c between, due to re-emission at c everywhere.
Recognising the distinction between the moving emitter and moving detector case is the key. The time for propagation relates to the background frame in both cases, and on the distance between positions at the moments of emission and detection.
Comments?
Best Wishes
Peter
(PS; Pentcho is of course correct about the Sun's frame, but the Barycentric frame is the rest frame of all the matter in the heliosphere where at rest wrt it's rest frame. The solar wind adds a radial element. It is always and only the LOCAL background 'frame of propagation' (discrete field) by which any 'speed' becomes a valid propagation speed).