* The Moon orbits the Earth. This means its position in the sky changes constantly.
* Stars are incredibly far away. Even the closest stars are light-years away, making them appear fixed in position from our perspective.
So, any star that appears near the Moon is simply in that direction in the sky at that moment.
To figure out which star is near the Moon, you'd need to know the exact date and time, and then use a stargazing app or website to find out what stars are visible in that part of the sky.