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A scope mounting challenge for all you mathematicians

If we use a set of offset inserts for a Burris Signature ring, say a +.020 paired, as it should be, with a -.020, and instead of aligning the inserts so that they meed on a horizontal line, let us tilt the parting line to 15 degrees from the horizontal. The question is, how much, to the nearest .001, is the center of the scope moved horizontally and vertically from where it would have been with a pair of .000 inserts? For extra credit, tell us how you arrived at your answer.
 
Hi,
it might help if you give us the exact distance between the two rings on the scope tube.
Thanks.
Nic
 
Assuming the 20 inserts means .020" -

With a 15 deg tilt from horizontal your horizontal movement (from a zero insert reference) would be .0051 and your vertical would be .0193.

I used AutoCad but for math -

Horizontal shift = Sin (tilt angle) x .020
Vertical shift = Cos (tilt angle) x .020

More numbers to play with -

Tan (1 MOA) = .00029088821687

Shift at 100 yds for 1 MOA = .00029088821687 x 3600"
= 1.04719"

POI shift at 100 yds = (shim amount x 3600) ÷ ring distance

So, for a .001" shim with 4” between rings the POI would shift .9”

To get a 1” shift for a .001” shim, you’d need a 3.6” ring spacing

To get a 1.04719 shift (1 MOA) for a .001” shim, you’d need a 3.438" ring spacing
 
Correct, but I will deduct a couple of points for not following directions. I asked for the answer to the nearest .001 ;) Seriously... The reason that I brought this up is that I am sure that some users don't realize that with a front and rear ring to play with, that quite a bit can be done, and with all the possible combinations of inserts and tilts, it can actually turn into an interesting problem.

I was at the Shot Show, years back, where the rings were introduced, covering an event for a friend. What other ring manufacturers may not realize is that the idea of self aligning inserts is not patentable (has been and expired) and that if they wanted, they could produce similar rings. Actually, although they lacked offset inserts, the Jewel rings came before Burris came out with theirs.


D-Mon
I probably was not sufficiently clear in my statement of the problem. I was only referring to how far off center the scope would be moved within a ring, not at the target.
 
Gentlemen,

Just for fun I once sighted in a rifle using the off set rings from Burris. It was tedious, but enjoyed the excersize.
 

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