Subject: does the earths movement impart a red shift on light?

The Earth orbits the sun at approx 18.5 miles per second.  When the speed of 
light is measured pointing in either direction along this path, the speed 
remains constant at approx 186,000 miles per second.  Since the speed of light 
is a constant, but the energy of the earths movement must go somewhere, does 
the movement of the Earth through space impart a red shift/blue shift on the 
light?  Has this experiment been done?  Thanks!

Re: does the earths movement impart a red shift on light?