Beautiful name. Can be shortened to Adi. This is the name of a character in my story, her parents are astronomers (see the connection?). She has a brother called Sirius, who her parents like better (again, connection!). The name is lovely.
It is interesting to note that the star Adhara, though second brightest to Sirius in the constellation Canis Major, bears the epsilon, not the beta symbol.
Wow, this name is beautiful! I've only just discovered it, but it's breathtaking. It's elegant and sophisticated, without sounding "elitist", if you catch my drift.