A selenologist
Astronomer
A lunar astronomer is a scientist who studies the Moon and its astronomical phenomena, such as its geology, surface features, and movements. They may use telescopes, spacecraft data, or conduct experiments to better understand the Moon's properties and behavior.
Galileo
A person who studies stars, planets and phases of the moon is called an astronomer.
Galileo was the first astronomer to describe the surface features of the moon. Using a telescope, he observed mountains, valleys, and craters on the moon's surface, challenging the prevailing belief that celestial bodies were perfect and unblemished. His observations supported the idea that the moon and other celestial bodies were physical bodies similar to Earth.
Galileo Galilei
I agree with the above comments. But if you want to get really fancy, you could go with Selenographer (a person who charts the surface of the Moon) or Selenologer (a person who studies the Moon).
An astronomer or astrophysicist would study the moon, stars, and planets - of course they may study more than just those.
a astronomer does it.
astronomer means a person who gose to space and studies space
A astronomer
An Astronomer.