Excuse me, what constellation am I?

Hello, the constellation is a fortune-telling thing for westerners. Because westerners don't have a lunar calendar, we should first convert the birthday of the lunar calendar into the solar calendar, and then look up the constellation table.

If it is Gregorian calendar September 2002 13, it is Virgo;

? If it is September 2002 13 of the lunar calendar, then it is converted into solar calendar 2002 10/8, which is Libra.