The animation doesn’t take into account the travel time for the light. And it doesn’t show where the red and blue shifts actually take place when we have moving emitters and a stationary observer. The animation is set up for a stationary observer. The top view shows what the binaries are doing at one epoch in time, where they are located, and the bottom view shows how light from that motion will be seen through a spectroscope on a (stationary) earth many years later, when the light finally arrives.

What I’m trying to find is an illustration that shows both a moving light emitter and a stationary light observer, and also showing the waves leaving the moving emitter at “c”, relative to the emitter, while they are received at the non-moving observer at “c”, relative to the observer, and where in space the red and blue shifts take place, all in the same illustration.