I found a photo editor online and took a stab at lining the constellations up with the points we're pretty sure about. If they're supposed to line up exactly, the locations need a little fine-tuning (I tried Galifanx, and the line that's currently going off to Berlin ends up in Austria).
Since Gladitor was lining up best, I tried several alignments and took screenshots (sorry for the photo dump). I also tried with the hilt at Bersimis-1, but it didn't look as promising. The last one (mirrored with the long prong at Bersimis-1) needed no rotation to line up, if that makes it any more promising.
Edit: please feel free to ignore the awkward green pin up in NE Canada, I was investigating something there and couldn't get the darn thing to go away (or don't, there is a Jupiter River on that island if it turns out to be something).