Hi, I've searched many places for this and haven't found anything. If the Simpsons did it, feel free to blast away. Secondly, I apologize, this is gonna be a long one.
Note: I've moved certain information to the bottom of the post to keep the main issue as clear and accessible as possible.
Citations to external content are marked [cite: n]
Calculations are marked [calc: n]
Processes are mark [proc: n]
Note: ~ (tilde) = approximately (not minus, or negative)
----------
SETUP
----------
Rifle: Ruger Precision Rifle (18008)
Caliber: 6.5 CM
Optic: Vortex Razor HD Gen II FFP (mrad) 4.5-27x56mm (EBR-2C)
Rings: Vortex precision matched rings 34mm (1.45" height)
Sight height above bore axis: 2.6" [cite: 1]
EDIT: (thank you @supercorndogs): 20 MOA base only mounts in one direction. 20 MOA engraving is at the rear of the action.
EDIT: (thank you bogeybrown n): Both rings are the same height
Settings:
LTEC Vertical Zero Stop: 0 mrad
Turret lock position: 0 mrad
Installation process [proc: 1]
--------------------
AMMUNITION
--------------------
Make: American Eagle
Projectile: 140gr OTM
MV: (nominal) 2700 FPS
BC (G1): 0.58
BC (G7 *converted using link [cite: 2]): 0.291
Drop @ 100yd: ~2.5" (~0.7 mrad)
Note: Using 3.6 in/mrad @ 100yd [cite: 3]
---------------
PROBLEM
---------------
Impacts are lower than line of sight at 100yd, despite having a 20 MOA base.
Explanation:
This is a problem for the following reasons
[a] Considering the rifle comes equipped with a 20 MOA base, I should expect to see a bore axis above the line of sight.
I want to make sure the products I purchased are in the proper condition while they are still new and I can contact a manufacturer for any assistance.
--------------
RESULTS
--------------
Expected:
Bore axis ~5.1 mrad above line of sight [calc: 1]
Impact ~4.4 mrad above line of sight [calc: 2]
Actual:
Bore axis ~7 mrad below line of sight (LTEC zero stops set to 0 (as if from factory) and locked in place at 0 on the turret, when bore sighting)
Impact I confirmed this with a shot 3 group (~0.3 in) that came in ~7.6 mrad low.
Note: After adjusting the zero to account for the 7.6 mrad difference, the vertical adjustment is cut to 19.5 mrad (29.5 if you count the holdover in the reticle). Sure, 19.5 still gets me out to ~1500-1550 yds (depending on zero), and 29.5 gets me out to ~1850 yds. So, I'm not too worried, but I want to figure out why this is happening.
----------------------
ASSUMPTIONS
----------------------
1) The line of sight runs parallel to the surface of the base when at 0 zero stop, and 0 turret elevation settings.
2) The bore axis is straight (i.e. - no barrel droop)
Note: ^ this is where the majority of my suspicion lies
---------------------
CONCLUSION
---------------------
Feel free to share your wisdom on why reality isn't matching up with math.
------------------------
CALCULATIONS
------------------------
[1] Expected vertex of bore axis with reticle considering assumption #1
a. 20 MOA = 0.333° (canting the line of sight forward toward the bore axis)
NOTE: Steps b-d account for the path of bore axis while below the line of sight. I used a triangle calculator to help [cite: 4]
b. leg A = 2.6 (sight height over bore)
c. angle a = 0.333°
c. tan(angle a) = leg A / leg B
d. leg B = leg A / angle a ~= 447.35 in
NOTE: ^ approximate distance from chamber where bore axis should cross line of sight
NOTE: Steps e-i account for the path of bore axis while above the line of sight. I used a triangle calculator to help [cite: 4]
e. 100 yd = 3600 in
f. leg B = 3600 in - 447.35 in = 3152.65 in
g. angle a = 0.333° (vertically opposite angles are equal [cite: 5])
h. tan(angle a) = leg A / leg B
i. leg A = 3152.65 in * tan(angle a) ~= 18.3 in (bore axis above line of sight @ 100 yds)
[2] Overall impact relative to the line of sight, dependent on bullet drop
a. 18.3 in - 2.5 in ~= 15.8 in
b. 15.8 in / 3.6 in ~= 4.4 mrad above line of sight
-------------------
PROCESSES
-------------------
[1] Optic installation
a. Clean/Inspect 20 MOA base and action mating surfaces
b. Install base to torque spec
c. Clean/Inspect rings lower halves base and action mating surfaces
d. Install ring bases to torque spec while pushing down and forward
e. Adjust for eye relief, then focus, then final eye relief, mark tube with pencil
f. Index Optic level to base level using 2 bubble level system.
g. Index Optic bubble level ring to base, and optic.
h. Confirm all bubbles index to same position as best as possible
i. install rings top halves with even gap, tighten to torque spec
-----------------
CITATIONS
----------------
[1] http://imgur.com/gallery/o3FmX
[2] http://www.jbmballistics.com/cgi-bin/jbmgf-5.1.cgi
[3] http://vortexoptics.com/uploads/web_...6-13a_mrad.pdf
[4] http://www.mathportal.org/calculator...calculator.php
[5] https://www.mathsisfun.com/geometry/...te-angles.html
Note: I've moved certain information to the bottom of the post to keep the main issue as clear and accessible as possible.
Citations to external content are marked [cite: n]
Calculations are marked [calc: n]
Processes are mark [proc: n]
Note: ~ (tilde) = approximately (not minus, or negative)
----------
SETUP
----------
Rifle: Ruger Precision Rifle (18008)
Caliber: 6.5 CM
Optic: Vortex Razor HD Gen II FFP (mrad) 4.5-27x56mm (EBR-2C)
Rings: Vortex precision matched rings 34mm (1.45" height)
Sight height above bore axis: 2.6" [cite: 1]
EDIT: (thank you @supercorndogs): 20 MOA base only mounts in one direction. 20 MOA engraving is at the rear of the action.
EDIT: (thank you bogeybrown n): Both rings are the same height
Settings:
LTEC Vertical Zero Stop: 0 mrad
Turret lock position: 0 mrad
Installation process [proc: 1]
--------------------
AMMUNITION
--------------------
Make: American Eagle
Projectile: 140gr OTM
MV: (nominal) 2700 FPS
BC (G1): 0.58
BC (G7 *converted using link [cite: 2]): 0.291
Drop @ 100yd: ~2.5" (~0.7 mrad)
Note: Using 3.6 in/mrad @ 100yd [cite: 3]
---------------
PROBLEM
---------------
Impacts are lower than line of sight at 100yd, despite having a 20 MOA base.
Explanation:
This is a problem for the following reasons
[a] Considering the rifle comes equipped with a 20 MOA base, I should expect to see a bore axis above the line of sight.
I want to make sure the products I purchased are in the proper condition while they are still new and I can contact a manufacturer for any assistance.
--------------
RESULTS
--------------
Expected:
Bore axis ~5.1 mrad above line of sight [calc: 1]
Impact ~4.4 mrad above line of sight [calc: 2]
Actual:
Bore axis ~7 mrad below line of sight (LTEC zero stops set to 0 (as if from factory) and locked in place at 0 on the turret, when bore sighting)
Impact I confirmed this with a shot 3 group (~0.3 in) that came in ~7.6 mrad low.
Note: After adjusting the zero to account for the 7.6 mrad difference, the vertical adjustment is cut to 19.5 mrad (29.5 if you count the holdover in the reticle). Sure, 19.5 still gets me out to ~1500-1550 yds (depending on zero), and 29.5 gets me out to ~1850 yds. So, I'm not too worried, but I want to figure out why this is happening.
----------------------
ASSUMPTIONS
----------------------
1) The line of sight runs parallel to the surface of the base when at 0 zero stop, and 0 turret elevation settings.
2) The bore axis is straight (i.e. - no barrel droop)
Note: ^ this is where the majority of my suspicion lies
---------------------
CONCLUSION
---------------------
Feel free to share your wisdom on why reality isn't matching up with math.
------------------------
CALCULATIONS
------------------------
[1] Expected vertex of bore axis with reticle considering assumption #1
a. 20 MOA = 0.333° (canting the line of sight forward toward the bore axis)
NOTE: Steps b-d account for the path of bore axis while below the line of sight. I used a triangle calculator to help [cite: 4]
b. leg A = 2.6 (sight height over bore)
c. angle a = 0.333°
c. tan(angle a) = leg A / leg B
d. leg B = leg A / angle a ~= 447.35 in
NOTE: ^ approximate distance from chamber where bore axis should cross line of sight
NOTE: Steps e-i account for the path of bore axis while above the line of sight. I used a triangle calculator to help [cite: 4]
e. 100 yd = 3600 in
f. leg B = 3600 in - 447.35 in = 3152.65 in
g. angle a = 0.333° (vertically opposite angles are equal [cite: 5])
h. tan(angle a) = leg A / leg B
i. leg A = 3152.65 in * tan(angle a) ~= 18.3 in (bore axis above line of sight @ 100 yds)
[2] Overall impact relative to the line of sight, dependent on bullet drop
a. 18.3 in - 2.5 in ~= 15.8 in
b. 15.8 in / 3.6 in ~= 4.4 mrad above line of sight
-------------------
PROCESSES
-------------------
[1] Optic installation
a. Clean/Inspect 20 MOA base and action mating surfaces
b. Install base to torque spec
c. Clean/Inspect rings lower halves base and action mating surfaces
d. Install ring bases to torque spec while pushing down and forward
e. Adjust for eye relief, then focus, then final eye relief, mark tube with pencil
f. Index Optic level to base level using 2 bubble level system.
g. Index Optic bubble level ring to base, and optic.
h. Confirm all bubbles index to same position as best as possible
i. install rings top halves with even gap, tighten to torque spec
-----------------
CITATIONS
----------------
[1] http://imgur.com/gallery/o3FmX
[2] http://www.jbmballistics.com/cgi-bin/jbmgf-5.1.cgi
[3] http://vortexoptics.com/uploads/web_...6-13a_mrad.pdf
[4] http://www.mathportal.org/calculator...calculator.php
[5] https://www.mathsisfun.com/geometry/...te-angles.html
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