The name Asteria is a girl's name of Greek origin meaning "star". Asteria and is often added to lists like Unique Baby Names: Unusual and Rare and discussed in our forums with posts like "Girls Makeover - Two Middles".
From the experts:
Asteria is an Anglicized spelling of the Greek Astraea or Astraia, the goddess of justice and innocence. She became the constellation Virgo, so all forms of this name would be especially appropriate for a child born in late August or early September.