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 Aylin mean?
Aylin is a Turkish name built on 'ay' ('moon'), usually read as 'moon halo' or 'belonging to the moon.' The moon root is solid, though the exact second element is less certainly glossed.