What does Aydan mean?
Aydan is a Turkish/Azerbaijani name from 'ay' ('moon') plus the suffix -dan ('from'), i.e. 'from the moon.' Some sources list unrelated secondary meanings ('tall palm tree'), but the moon reading is primary.
What does Yildiz mean?
The Turkish word 'yildiz' ('star'). The same word was later applied (as 'Yildun') to a star in Ursa Minor, but as a given name it simply means 'star'.