FAQ/Celestones
First thing to note: There's a quest in your high level 80s for which you need 10 each of the human / earth and human celestones. It's easy to get stuck without!
The fragments themselves are otherwise useless - you have to take them to the gem merchant to convert them into mirages. (25 fragments, or 3 of each of the other types will convert.)
Mirage Celestones are used to Refine your equipment, to improve its statistices.
Mirages can also be used in the Cube of Fate - each mirage can be converted into 2 tickets.
Lastly - you can exchange 3 mirages at the wtacher of earth for a new genie.
Mirages drop fairly frequently from high level bosses, notably in Twighlight Temple. The fragments drop more rarely, but are often quest rewards. If you need a lot of them in a hurry, your best option is to take the one-man-army quest, which can be repeated as often as you like.