Nothing new or unknown about that it has been known for about 100 years and under constant study for 50 years (since 1964).
The current star of this sort of thing is called LAGEOS (
https://en.wikipedia.org/wiki/LAGEOS).
Reflecting a laser off it yes you get a small doppler effect from Earths movement.
The doppler effect from bouncing signals off the moon is also known (
https://en.wikipedia.org/wiki/Earth-Moon-Earth_communication)
Doppler Effect at 144 MHz band is 300 Hz at Moonrise or Moonset. The Doppler Offset goes to around Zero when the Moon is overhead. At other frequencies other Doppler Offsets will exist. The 300Hz offset is the average Doppler Offset for the 144 MHz band.
Not satisfied with just a laser we fired a rocket and measured it (
https://en.wikipedia.org/wiki/Gravity_Probe_A)
Along with the hydrogen maser, a microwave repeater was also included in the probe in order to measure the Doppler shift of the maser signal. A Doppler shift occurs when an source is moving relative to the observer of that source, and results in a shift in the frequency that corresponds to the direction and magnitude of the source's motion. The maser's signal is Doppler shifted because it is launched vertically at a high speed relative to the Earth, and the results from the maser need to be Doppler shifted in order to be correctly understood
Wow scientists know a lot more than Marosz and the Ligo team is well aware of this and deals with it ... gee I wonder how?
Well Marosz could try reading how Ligo actually works.
