If you are talking about the name of the craters on the moon, I would say international names are used, just like the naming of the stars.

By the way, some craters are named after Chinese people, like 万户撞击坑 and so on.

If you are talking about the features in general, we do have names for them

陨石坑 - crater

 

月海 - lunar mare

 

月相 - lunar phase

If you are talking about the name of the craters on the moon, I would say international names are used, just like the naming of the stars.

By the way, some craters are named after Chinese people, like 万户撞击坑 and so on.

If you are talking about the features in general, we do have names for them

陨石坑 - crater

月海 - lunar mare

月相 - lunar phase