Getting information about the murder itself would be great. Examining the crime scene if possible. Trying to figure out if any of the Aurilites here might have had a hand in it. Basically treating it like a typical murder investigation. We could also potentially try to gleam if there is any specific significance to this constellation pattern, if its part of some ritual, why it might be happening NOW of all times.
Anything else you can think of, those are just some suggestions.