Means "to think of a man" from the Greek element ανδρος (andros)
"of a man" combined with μηδομαι (medomai)
"to think, to be mindful of". Andromeda is a constellation in the northern sky, which gets its name from a mythical Greek princess who was rescued from sacrifice by Perseus
. This is also the name of a nearby galaxy, given because it resides (from our point of view) within the constellation.