The Hamlet Project

I wish we could figure out exactly what day this might have been. I’d love to be able to celebrate Hamlet’s birthday. I mean, it must be in the winter because Hamlet Senior defeats Fortinbras Senior on the ice. So we know Hamlet was born in a month that would have been icy. But in Denmark, that’s likely a fairly wide range. Is there a Shakespeare scholar/astrologer out there who has theorized about Hamlet’s astrological sign? Given the ice conditions – he’s probably not a Taurus, Gemini, Cancer, Leo, Virgo or Libra.
This would be a rather unusual overlapping of areas of knowledge – I don’t know a lot of Shakespeare scholars who are into astrology and while I do know some astrologers who LIKE Shakespeare, I wouldn’t go so far as to call them scholars. BUT. It may be time for a meeting of the minds on this. Mostly just because I want to know.