I don't want rid of the moon. I was thinkin about get the stars near to it show up more with slightly longer exposure where a full moon would over expose. I might try it on an old uv filter see what happens.....
But the moonlight will
always be strong enough to leave a glow around the moon, enough to make any stars near the moon hard to see.
It's the same effect as why most of us would rather drive out to the countryside where there are no street lights so we can see the whole night sky.
No matter how hard you try to block the moon or moonlight, be it your crazy idea of drawing a dot on your lens or other member's silly suggestions about blowing up the moon or painting it black or whatever, the glow of the moonlight will still wash out the stars too close to the moon.
It makes more sense to go out on a night when there is no moon, take as many photos as you want, vary exposure, and all that, get all the views, exposures, frames, etc., of the stars the way you want it.
Then on the night of a full moon, take a photo of the moon.
In photo editing software, like Photoshop or Corel PHOTO-PAINT or whatever,
cut out the moon and paste it on the photos of the night sky with all the stars.