Forget time and relativity, IMHO your problem is that you see (in space) some objects as 'moving' and other objects as 'still'. Then you understand the behavior of moving objects, but not the behavior of still objects (which 'start to move')
There are no such things, in the universe, as 'still...
Please read also our article : "The Doppler effect's contribution in the propagation of sound on a windy day" http://knol.google.com/k/athena-jourdan/the-doppler-effect-s-contribution-in/airq7uy58x6t/40#
cheers
S. J.
Please have a look on our paper in KNOL on the question :
http://knol.google.com/k/athena-jourdan/the-doppler-effect-s-contribution-in/airq7uy58x6t/40#