!!! This is based on my previous bad calculation. !!!
I finished the survey of NGC 188 and its duplicate systems. This allowed me to estimate the position
of the "blue dot" where the lines plotted by duplicate systems cross (which is ~ -10500 +/- 500, 5200 +/- 250, -7000 +/- 400
- i.e. far out of the galaxy bounding box, but a very specific location nevertheless). The margins of error are large because my analysis is still very preliminary. I need to
both extract better precision coordinates from the player log (already done below) and use better tools to compute this.
Below is the table of the systems, their positions (POS1 being the "lower" copy, and POS2 being the "upper" copy", and M(XYZ) are the coordinates of a midpoint between skew lines of NGC 188 DGV 44 and the other systems. This actually lines up in this configuration shockingly well, because in many cases if you use a different system, the results are nowhere near as good. Maybe
@Rochester can do a better analysis of this with his tools (otherwise I will try to refine this further - this is a very basic analysis in Excel, I can do much better than this - I'm sure of that). The three systems at the bottom of the table are outliers: two of them have their counterpart far out of NGC 188 so I don't consider this reliable data (although HIP 4349 actually lines up relatively well), and the third is a pair in NGC 188 that just has very small delta between systems so it's wildly off the mark (visually it's OK, but when you look at actual coordinates, it's nowhere near the other lines).
Based on this I have two hypotheses:
1. There are several dots in the skymap similar to the "blue dot" some of them can be mapped from the data under "duplicates" page in EDSM so we don't actually have to go anywhere, but others have not been mapped at all and it requires visiting some places first to get system coordinates. The idea here is that they form a pointer system to Raxxla (or something else cool), and that lines drawn between appropriate pairs would cross in a relevant place. I don't know off hand that's actually true, but we can't even try until at least 5 have been mapped (and I believe EDSM has data for 2, maybe 3, besides NGC 188 which is below).
2. This is a tutorial for how to actually get to whatever this is meant to point to, and instead we need to use the duplicate systems from Velorum constellation to find the approximate search area. Unless they happen to line up shockingly well, this is going to be still a rather large search area - minimum a couple hundred light years (but perhaps the newfangled construction view can speed this up...) I did a basic glance at this with bookmarks and it looks like it would be NOT in the bubble.
Edit:
3. Another really dumb possibility is that the midpoint of R Carinae and L Carinae lines is meaningful.
Edit 2: Added "Address" columns and extracted more accurate system positions. The address columns contain "system address" from Elite's journal (which is what shows up in EDSM immediately to the right of the system name in the system overview).