Look up Lagrangian points on Wikipedia.
There are points of zero gravitational force, about our planet. What  
is more, these points are stationary with respect to Earth, so  
Doppler effects would be zero.
As the distance from Sun to Earth to Moon varies through the year it  
follows that the distance from Earth of these points must vary on a  
small scale.
These points are good for satelites as the orbit never decays.
cheers, Neville Michie

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