below animation explain that point where signal ( light ) started
is not moving with the source

https://en.wikipedia.org/wiki/File:Aberrationlighttimebeaming.gif

It is not my own animation ( please see )

to above animation please add very old rule



Point source S is radiating light equally in all directions. The amount passing through an area A varies with the distance of the surface from the light.

Ok You know right now how looks light in space

below very good know doppler efect




And picture that explain You how work my test rocket 2 started radio or light wave in POINT 1

Point1 = apparent point for rocket 1

rocket 1 AND rocket 2 have got the same velocity respect to point 1

Problem for You ???? please evaluate intensity of signal that will register rocket 1

V1 = c/2
V1=0,9 c
V1=0

Do You understant that it is not doppler efect but it is Luminosity shift ( each wave has go Hz and amplitude )

do you understand different between signal's level and signal's Hz



link to above picture [url=http://2.bp.blogspo