Hang on, I thought 'Solar system' means the system orbiting the star 'Sol' i.e. our sun? Isn't the general term 'planetary system'?
I think 'star system' is acceptable as well.
We should declare terminology bankruptcy to wipe out our existing terminology/language debt, then pick sensible terms for everything. While I'm the topic, we should also do "kilogram"->"grave", "gram"->"micrograve".
Much easier than "aposelene/apocynthion/apolune", "aphelion", "apogee".
I'm not against the idea, but please don't have the new base also start with "g".
So you see, probably does not work so well.