Hey, astral girl.
Good names can vary, and you need something you can trademark.
I think brain storming is a great way to come up with names. Start with some successful names and emulate them. Sam Walton was a store, so he used his name and mart to get WalMart. Along the same lines is AstralTech or AstralWebs or Astral Technologies.
MicroSoft built software for Micro computers instead of mainframes, so their name described it. While web software names are likely taken, you might be something like AstralSoft or AstralWare.