Did you make a Raw file in the camera you can edit?
A Raw file is a 12 or 14 color bit depth file while a JPEG is limited to an 8-bit color depth.
A 12-bit file can code 4096 colors per color channel. 8-bits can only code 256 colors per color channel
Plus the JPEG has locked the image pixels into groups of pixels called MCUs (Minimum Coded Units) which become the the smallest part of the image you can edit.
I bring that up because what you have posted looks to me to be a JPEG you made in the camera.
If so, there is probably little, if any, additional editing headroom.
I would also suggest you correct the under exposure, and de-saturate the photo to help control some of the posterization that produced some colors that aren't actually there on the moon. There are a few spots around in the middle of the moon and more over towards the eastern limb.
Instead of trying to sharpen the photo, and if you have a Raw file, I would instead recommend increasing the mid-tone contrast. In Lightroom the easiest way to adjust the mid-tone contrast is to use the
Clarity slider near the bottom of the Basic panel in the 'Presence' section of sliders. I edited the JPEG you have posted here and using the Clarity slider made it worse, not better.
I de-saturated (100%), added 1 stop of exposure. In the
Sharpening panel I used Amount: 25, Radius: 3, Detail: 15, Masking: 0. I only used the
Noise Reduction Color slider and set it to 90, which also brings both the
Color Detail and
Color Smoothness sliders to 50.
I also cropped the photo so the moon isn't dead center in the frame.
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