Finishing up a book called The Star of Bethlehem by Michael R. Molnar. He puts the birth on April 17, 6 b.c., based on the Star charts that the “three wise men” used that led them to baby Jesus. Lots of history, math, and Star charts. Coins minted in the day led to new clues.
Here is another great rundown: https://drmsh.com/september-11-happy-birthday-to-jesus/