solarshooter
WKR
Embarrassingly, it took me almost a year to finally do this check. Following your procedure using a 12" metal straightedge and different thickness allen wrenches as shims, here's what I got:You are right.
SIN function will tell you the windage/elevation error caused by the corresponding elevation/windage holds/dials.
Increasing the cant angle increases the error trigonometrically
Increasing the hold/dial increases the error linearly
And yes, generally the elevation hold/dial is greater than the wind hold/dial, so its corresponding error is greater (error will be seen as a windage miss)
To measure the resolution of the bubble level graduations,
- set the level on top of a straight edge of known length (like a 48" carpenter level for example. You are only using it as a straight edge though, don't worry about what the level's bubble shows. just watch the UM level.)
- Shim the very outside edges of the straight edge until the UM level shows perfectly centered. This is now your starting point. Don't record the thickness of these shims.
- Add shims (to either side, doesn't matter), until the UM's bubble is just touching the line. Record the thickness of ADDED shims.
Now the following calc will determine what angle it took to move the UM bubble to the line. Make sure your calculator is set to "degrees" if you want degrees:
TAN^-1(ADDED shim thickness / straight edge length)
A more precise way to do it would be to start with the bubble touching one line, then shim until it touches the other line. Do the same equation, and then divide by 2
arctan(0.245/(11+14/16)) = 1.18deg
repeated with a slightly different method:
arctan(0.223/10) = 1.28deg
This is where the outside edge of the bubble just touches the line. So I'd call it ~1.2deg, within the precision of my ability to measure it.
So to answer my question from above:
Keep it inside the lines and you're good.For instance at 600yds, 1deg of cant produces sin(1deg)*3.5mils elevation = 0.06mils windage, so I probably wouldn't sweat being within 1deg.