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Starlink kit found amid wreckage of Russian drone
(www.theregister.com)
This is a most excellent place for technology news and articles.
Obscufating the location of the starlink unit isn't possible. It inherently requires positioning to function at all.
Starlink uses phased array antennas for beamforming, both on the earth base station and on the satelite station. That means the antenna is very directional by using some complex math and multiple tranceivers feeding an antenna array.
That means the satelite must know where you are within like 10s of km. Otherwise it can't tell where to beam your data.
It's kinda exactly why cell towers can locate you. And why you can't avoid that.
And if that location is within Ukraine?