Dale, possibly this is true, in fact there is no doubt about it. But what you fail to understand is that I am not argueing SRT I am simply wanting to know why an observer would ignore his acceleration when deciding whether he has velocity or not. I don't care what theory you want to use or quote from. The simple reality I see is that the rocket has accelerated to acheive the doppler effect it's captain desires. It seems obvious that it is his acquisition of velocity that has generated the doppler effect. It is also obvious that he could not consider himself at rest after such an effort has been applied. It isn't that complex really. So if you think I am wrong tell me why this is so. And just quoting the SRT POV isn't the answer.