What does Aster mean?
From Greek 'aster' ('star'). It is also the name of the star-shaped daisy-family flower, which was itself named for the Greek word, giving the name a botanical as well as celestial sense.
What does Theo mean?
Short form of Theodore (or feminine Theodora), from Greek theos 'God' + doron 'gift'. Carries the 'gift of God' sense of the full name; on its own the element theos means 'God'.