Condottiere
Emperor Mongoose
Fly too close to the sun.
Deep space tan.
Deep space tan.
Take a photograph of the sky. How many stars can you see? Each one of those is a datapoint that requires no special equipment to detect. Mk I Eyeball. The hard part is doing the trillions of calculations. What is the difference in 30 or 40 local points of reference versus several million total points of reference. The ship doesn't need any better sensors than Basic Sensors. What is important is the computing power to make the calculations and the incredibly precise astrographic map that each ship would carry in it's database. What We see of the IISS map is just the Travellermap. What the ship's computer sees as the IISS map is all of the centuries of data that the IISS has collected on stars, planets and their movements. So, you already have literal centuries of data to draw from and compare to your current snapshot of space from your perspective.It's not the calculations that are the bottleneck here, but the measurements. In order to reduce the error of your exact location you are going to need extremely precise astronomy. More data points are good, but a typical merchant starship is unlikely to be equipped to do this. But would be good to make a jump with a (relatively) large margin of error to the next system.
The key difference to jumping out of a system is that you have known local points of reference you can calibrate your precise position from (or rather, those reduce your margin of error enormously).
In an empty hex you have no local point of reference and can only rely on extremely accurate measurements of extremely distant objects. Even determining your actual vector is going to be tricky, although you would have legacy data to make an educated guess from
I'm more than happy for a survey scout or a specifically equipped warship in a fleet to get the job done quickly, though.
I can literally measure angular separation with My $200 backyard telescope that I bought the kids. It even has a function that allows you to select 2 stars and it will give you the angular separation between them. I can align it to one star and then look up the coordinates of another star on the internet and type that into the telescope. The telescope goes right to those coordinates and there is the star. I got those coordinates from the internet. If My telescope can do that, you don't think sensors and computers from the 53rd century can do much, much better than that?You're still missing the point that in order to locate the ship's position within that incredibly accurate map to the precision required for an accurate jump, you need to measure the angles between all the points of light. There's literally no other data you can use.
Identifying the stars? Easy. And if they don't match expectations, you know you've misjumped.
Doing the triangulation maths? Tedious but trivial.
Gathering the observational data, which is basically measuring the angular separation between a whole bunch of miniscule dots? That's the bottleneck. Without extremely precise measurements, all those data points are just compounding error and making the likely location plot fuzzier.
I can determine the angles of up to 1 degree of accuracy over a several mile range with a few sticks and some string to get the sight lines right. Then do a few calculations with circles and arcs using the sticks and strings to do the calculations. That is not bad for not using any technology.Mk1 eyeball can tell you that Regulus is over there, Vega is over there, Sirius is over there, so we have to be around here... but that's like triangulating mountain peaks to find your map position when you don't have a compass. And the map only shows mountain peaks.
Simple rule of navigation. Use the biggest, most obvious reference points first. This will also usually be some that are the farthest away. For every datapoint you compare to your map, your location becomes more accurate.It's not a task that a merchant freighter would usually be doing. They would normally be updating the astro data as they went, from public sources. Maybe not every port, but at any of them with a decent starport. CAN they take astronomical measurements? Sure. But it's going to take them time to get a plot good enough for a high accuracy jump.
TLDR as I see it (YTU may vary):
(1) jump to deep space
(2) take basic sightings to assure yourself you didn't misjump
(3) jump to destination star
(4) fire up the M-Drive to travel from the star's 100D to the destination world.
Offhand I would expect the calculation to be O(n²) in the number of stars you shoot - not unmanageable, and trimdownable because you can treat far, bright stars as being at infinite distance. And far from errors compounding, you would do a least squares regression to reduce error.Gathering the observational data, which is basically measuring the angular separation between a whole bunch of miniscule dots? That's the bottleneck. Without extremely precise measurements, all those data points are just compounding error and making the likely location plot fuzzier.