Testing the oneway lightspeed constancy

Hi
My first post in this group!
I am interested if the testing, which can be done easyly
by astronomers, has ever been done the way I will describe
it below, or not.

Experiment description:

<------- Earth movement at
spring : register Df

Star * light--->
--------->Earth movement at
fall : register Df


Notations : D= delta ; f=frequency ; Df=Doppler shift

The time period fall- spring is just for illustration purposes.
What is being done is : The Doppler-shifted light
emitted by
a star is registered on Earth at an approx. 6 month interval.
The star should be seen in the planetary movement plane of Earth,
that is, it should be seen at East - West direction.
Now, if Df proves to be the very same value for a given line of the
stars-light spectrum, then c is independent of the observer's
movement,
as it should be according to the special relativity theory.
Regards, LL
.

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