Gary,
Thanks for the feedback on the article.
I've got a likely explanation for your observations with the 7mm Berger 180 VLD. This is also the bullet I shoot in long range prone competition.
You say you haven't taken into account the actual atmospheric conditions when running ballistics programs. I suspect that your shooting is done in 'summer' like conditions, ie, warmer than 59 degrees F, above sea level, etc. If you used the advertised BC of .682,which is a little too high) and shot in conditions that were favorable,meaning lower air density) the combination of the two 'errors' would partially cancel each other out.
Here's an example:
Let's say you use a BC of .682,advertised value) and standard sea level conditions to calculate the trajectory, and it predicts 300" of drop at 1000 yards. The two errors are: inaccurate BC, and inaccurate atmospheric conditions. The two errors can be of very similar magnitude, and if they're opposite direction, will cancel each other out. This is not the recommended approach. Much better is to use a more accurate BC, and input the actual atmospheric conditions. This approach will be more reliable. Also, make sure you know the actual range to the target. Some ranges are supposed to be 1000 yards, but may actually be +/- 10 or 20 yards. This can have a noticeable affect on drop for someone who's paying attention.
All of this discussion is less relevant for F-class and prone shooting because we have sighters allowed. +/- 5" of drop isn't very important, just so we get on paper it's good. The error could have more of an impact for other types of shooting though.
Here's another thing to put it in perspective...
The 4% error,.659 vs .684) in BC for the B180VLD is not very consequential to drop, even at 1000 yards. The error causes a difference of 7" of drop at 1000 yards for 2800 fps muzzle velocity. This is a small amount when you consider everything else at play including vertical wind currents, etc. By comparison, it takes about a 20 degree F difference to cause the same vertical shift.
In regards to your ballistics program questions...
I think Exbal uses the traditional Siacci method as it's ballistics engine, just like Sierra Infinity, JBM ballistics, and most others. Patagonia uses a very different engine developed by Arthur Pejsa,who has an article on exterior ballistics coming out in the April issue of PS).
The traditional approach,Siacci method) uses the ballistic coefficient directly,whether it's G1, G7, etc) for ballistic calculations. The Patagonia solution has to convert the BC into a quantity that can be used by it's solver. If the time is taken to describe the BC's velocity variation, the Patagonia software can be just as accurate as the Siacci method, but it can be subtly complicated because the nature of the solution is different.
Speaking just in terms of accuracy, ballistics programs don't have to be complicated. The free online JBM program is as accurate as they get. I've verified the predictions of this code with my own 'Siacci' based solver, as well as an independent 'point mass' program, which uses numerical integration to solve the equations of motion. The accuracy of the solver is usually not what limits the accuracy of ballistic predictions, it's the accuracy of the inputs. For long range bullets, if you enter an accurate G7 BC, actual atmospheric conditions, actual range to the target, good zero range, etc, the results will be more accurate than most rifles. In other words, uncertainty in the results is directly related to the uncertainty of the inputs.
In response to your aside...
I have measured the B180VLD in both nominal, and pointed meplat configurations. Pointing the meplat from 0.059" to 0.039" increases the G7 BC from 0.337 lb/in^2 to 0.344 lb/in^2. This results in less than 2" difference in wind drift,10mph@1k yards). The improvement is small, perhaps negligible for standard decimal prone targets with large scoring rings. The improvement is more significant for the F-class targets with smaller scoring rings. That being said, I do point my B180VLD's that I shoot in prone competition. It's fast, easy, doesn't hurt anything, and every little bit helps.
Take care Gary,
-Bryan