I don't know. however star positions are fairly easily determined manually when navigating by the use of a star globe or star chart, coupled with a set order of mathematical (or perhaps more correctly a series of arithmetical calculations) to determine your position on the earths surface. Navigators in the modern sense have been doing this stuff since the 15th century, though accurate longitude couldn't be done except when a reliable chronograph became available in the mid 18th century.
In the southern hemisphere we have no pole star, but we have a number of constellations that remain relatively stationary or close to due south. If you have the known position of three or more stars and you are able to determine the position of the horizon you can then triangulate your position on the map. .
In the northern hemisphere you have the Pole star which does not move from its declination or elevation. This provides a ready made referencing point for anything north of the equator.
The difficulty with navigation at night is that it is difficult without radar to determine the position of the horizon. That's why you normally take your fixes at dusk or predawn, selecting stars that are on the or close to the east in the mornings and the west in the evenings. You need to find the position of the horizon when getting a fix using a sextant. in an aircraft this difficult because of the a/c is at altitude, which has to be allowed for in terms of the declination and bearing of the star to the horizon, and because the aircraft is travelling in the dead of night often and cant wait for dusk or dawn to find the horizon. , A lot of aircraft navigation pre-radar was done by dead reckoning....estimating the position of the horizon, or by picking up on major geographical features like mountains or rivers. Later, emitted radio beacons allowed aircraft to vector onto a target using radio beams. when the beams intersected, it was time to drop the bombload.
When I was a trainee we had to still demonstrate proficiency in the manual systems (ie using the sextant and manual sight reductions using the almanac and a pencil with slide rule), in order to qualify for our navigation patch, but the more modern navigation systems were available and the norm. I don't claim to know exactly how they worked, but some of them I was told used the same methodologies as the sextant and chart manual systems. If they could find a star, and then the horizon, it was easy for them to determine position of the a/c. problem is to get the gizmo to do that. .
The most modern positional systems of course use satellites, and these are more accurate, easier to use and quicker than any on board navigation system using predictive modelling. The technology used to make them work is relatively simple and very reliable.