Scotchmo Accuracy:
Member
I believe that you often state that "there is no cant error without drop". …
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If you think that's what I often state, show me some past examples where I stated that.
BTW: I always try to make the distinction when talking about gun cant (trajectory) vs scope cant (LOS). And I know which one is directly related to drop.
... So your statement that "it will hit left an amount equal to drop" is simply and plainly incorrect. And as long as you adhered to such a view, you do not understand.
With an uncanted gun, the barrel points slightly upward to compensate for drop. When you cant the gun 90 degrees to the left, the barrel now points slightly left, so that is where the poi will now be.
This picture has the barrel pointing to the right, but same affect. Windage error = drop distance:
I think we are making progress, as scope height is no longer part of the discussion. It's now about drop (gravity) and cant angle. And that is what determines gun cant errors.
"It's now about drop (gravity) and cant angle. And that is what determines gun cant errors."
This is close, for now, as you state angle (correctly) AND GRAVITY(incorrectly) is what "determines gun cant errors". But I believe I can find a direct quote from you stating that there can be no cant error without drop.
Scotchmo Accuracy:
Member
I like the deflection on the second part. "Short answer". I will wait for the long answer. I'll write the question again. With 2 different height scopes on the same rifle, zeroed at 20 yards (2 zero method) for each, will the higher mounted scope produce more horizontal cant error at it's far zero than the lower mounted scope will at it's far zero given the same amount of cant in degrees?
OK – a longer answer:
"…Consider a single rifle. A higher velocity accurate air rifle shooting a good BC pellet. …" Then lets just say that the velocity is so high that gravity has no significant affect. In other words, there will be no cant error from gravity. We can model the trajectory as a straight line. That simplifies the explanation. Now we can look solely at your assertion that the different LOS from different scopes heights causes a difference in cant errors.
So we are having to "assume" that gravity will cause no cant error. Sure sounds like the person making that statement believes that gravity DOES cause cant errors because we are having to use an extreme example and "assume" that it doesn't. Getting closer but I believe I will find the quote. I'm almost certain you stated it verbatim.
Scotchmo Accuracy:
Member
…
scotchmo-"Please diagram the exception so I can better understand what you are describing."
You've basically already done about half of that, but as with every person who holds the Szottesfeld view, you stopped a bit short. That is the FATAL ERROR for Szottesfeld. Go back to your B0 and B90 diagram. Redo that illustration using a SIDE ON view but with a SINGLE PAGE SHOWING THE HIGH SCOPE, BORE, AND THAT CONVERGENCE ANGLE TO TARGET and a second SINGLE PAGE SHOWING THE LOW SCOPE, BORE, AND THAT CONVERGENCE ANGLE TO TARGET. REMEMBER to use a COMMON DISTANCE TO TARGET (the basis for the two zero method). Place the scope and muzzle to the left side of both diagrams and the target near the center. …
Now the critical part. EXTEND EACH "BORE LINE" PAST THE "TARGET" and across the page to the right. You will observe that, as you get further and further beyond the "target" (increasing range), both lines continually DIVERGE FROM LOS but the steeper angle of the higher sight causes it to progressively be FURTHER DIVERGED from LOS
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"…Now the critical part. EXTEND EACH "BORE LINE" PAST THE "TARGET" and across the page to the right. You will observe that, as you get further and further beyond the "target" (increasing range), both lines continually DIVERGE FROM LOS but the steeper angle of the higher sight causes it to progressively be FURTHER DIVERGED from LOS…" Once you extend "PAST THE "TARGET""(target plane), you are now at a farther disatnce. Any divergence is then a range error. There is no divergence at the target.
"…Redo that illustration using a SIDE ON view but with a SINGLE PAGE SHOWING THE HIGH SCOPE, BORE, AND THAT CONVERGENCE ANGLE TO TARGET and a second SINGLE PAGE SHOWING THE LOW SCOPE, BORE, AND THAT CONVERGENCE ANGLE TO TARGET. REMEMBER to use a COMMON DISTANCE TO TARGET (the basis for the two zero method). Place the scope and muzzle to the left side of both diagrams…" You should do the diagrams as I've already modeled it in 3D and looked at it from every angle. The only cant error is that resulting from gravity. There is no component introduced by the difference in scope height. If you are able to use 2D descriptive geometry to adequately model it, go ahead. You should then be able to derive the equations that show the actual magnitude of the error. Experiments with precise shooting will confirm the errors predicted by the equations. Photos of dubious shooting accuracy in the wind really tells us nothing definitive. When you have done the proof, including the equations to verify, I might respond again.
It is your assertion that additional cant error is induced by the difference in scope height. You think that is true. My assertion is that is false. Don't ask my to prove a negative. You believe it is true, so it's on you to
scotchmo quote from 6 lines above-
"The only cant error is that resulting from gravity. There is no component introduced by the difference in scope height". Again, sure sounds like someone saying that there is no cant error without drop to me. What else is gravity doing during shooting other than causing drop?
scotchmo quote-"gun cant errors do not happen in zero gravity". Probably a bit facetious but still indicating the view that gravity must be present for cant error to occur, which isn't true. There is a correlation between the two, not a causal relationship between them.
scotchmo quote-"gun cant happens when the gravity vector no longer lies in the horizontal plane. Gravity must be part of the equation". Gravity is always "part of the equation", just not for cant errors. Cant caused by angulation, drop is caused by gravity. The fact that two things are correlated IN NO WAY indicates causation of one to the other.
I could not locate a verbatim quote stating "cant errors can't happen without drop" but I am almost certain you said that. The above quotes surely seem to indicate that you believe it even if I can't find a specific quote where you stated it.