Okay, let's talk about what we see here:
After getting an accurate camera solution and building the Death Star from the museum photos, I checked it against the original in ANH. This image is my virtual Death Star superimposed onto a frame from ANH.
What I noticed right away was that the hemispheres are warped - the white strip on the lower left hand side of the bottom hemisphere is where my model deviates from the original. But notice the right side of that lower hemisphere is dead on, as is 99.5% of the top hemisphere, which is also warped slightly.
My trench and trench depth lined right up, as well. A couple of things I noticed: 1) The hemispheres are different, they're not mirrors of one another. 2) The superlaser cut-out isn't circular, it's juuuuuust slightly oblong in the vertical. 3) The hemispheres were cut, and then built up with a slight straight edge just above the trench - it's demarcated by the white "band" around the equator.
This virtual Death Star lines up this closely in every shot in ANH, meaning it's about as close as it's going to get without knowing how to warp the hemispheres' profiles. This is therefore slightly idealized. I don't have any idea of absolute scale.
Here's the same Death Star against a different shot in ANH... same deviations:
_Mike