How can I find out which constellation I belong to and calculate my birthday according to the lunar or solar calendar?

Generally speaking, constellations are calculated according to the solar calendar.

What we usually call

What constellation are you?

, refers to

astrology

The sun sign in the middle of the moon is the zodiac sign where the sun was when you were born. Of course, you will find it online.

Aries and Taurus are also sun signs. In astrology, all planets and asteroids in the solar system will have an impact on individuals, so it is not very accurate to look at the sun constellation only.