Thinking about it — while doing the washing up mind you — I thought that one way would be to name them after, worldwide cities, towns, suburbs, etc, using the
latitude corresponding to the
declination of the star.
To be pedantic, and even assign, if possible, the longitude corresponding to the Right Ascension. A simple computer program could pick the name of the nearest place automatically, then follow the planets in the system by its Roman Numeral!
Those nearest the south pole, where there are not many places, could have classical towns placed in ancient history that no longer exist!
That would cover about two million places or so - enough for many years.
Just an idea.
