How do i "capture" a star?

Sorry, newbie question. How do I capture an unowned star? Do I just need to fly my carrier their? Do I need to drop off a ship?

I’m sending one of my new carriers to a string of unowned stars, want to capture each one.

Yes, that’s about it.

There’s no need to leave a ship - once you arrive, it will be yours until someone takes it from you or you abandon it with the “abandon star” button (this is rarely useful, especially in your first game)