I am going to put this here for anyone that does not want to go down the rabbit hole, and to keep things simple. I had an internal discussion and looked at some of our data and findings in the past to make sure I kept things on the right track.
1) AJ does happen anywhere in the flight path.
2) AJ down range may be inconsequential to the noise due to the deflection being small and the remaining time of flight being small.
3) When AJ occurs also the near (but not absolute) reverse of what happened will also occur if the wind ceases to exist. Example, you have 0.2 up and 0.05 right AJ from a crosswind at the muzzle due to a wind speed of 8mph for your shot. When that Speed hits 0 you will now have an AJ of -0.2 and +0.05. AJ goes from Up and Left (Right to Left Wind) to Down and Right (Left to Right Wind)
For general purposes the better way to visual this the term Vertical Deflection from a Horizontal Crosswind should be visualized. A 9'oclock wind will create a negative (downward), and a 3 o'clock wind will create a positive (up) deflection. If the wind stops, then the bullet will experience the opposite of each.
In the first example, the bullet is going to have X amount of AJ that happened in the first 200yds. Then it will see another AJ effect once it leaves the warehouse. The first X amount of AJ is going to be enough to factor into the firing solutions. The second instance of AJ will not be enough to factor, even though it is still present. The only amount of vertical that will need to be dialed in or out is the first AJ.
In the second example, there is zero AJ value to begin with. Then there is an AJ effect when the bullet exits the warehouse. This amount will be too small to worry with accounting for and therefore no addition vertical needs to be dialed in or out.
We actually had this discussion and we looked at some more data. Yes, to a point this is correct. However something else to note. But it is also not entirely deterministic on the amount of pitching and yawing at the time. I will explain more later in this post.
Just out of curiosity, if I’m shooting out of a tube that blocks the wind at the muzzle, and for 10” ahead of it, can I turn AJ off for a better ballistic solution?
No, because it isn't that simple. I would suggest leaving it on, especially if the tube is only 10 inches long.
Does the AJ in AB account for rpm decay? I've had guys say to turn it off and slow the twist input to make 2 mile predictions.
No, because we calculate AJ as if it happens at the muzzle currently. So the down range changes are not necessary.
So to continue on some things. I had a chat with Bryan as well as looked over some other data we have and their are some things to also note. I am not sure if this is a good idea, because of how the you learn it, you teach it, they retain 10% of the original knowledge. Basically when this gets gun counter passed on could just be a hot mess, but here we go to confuse things even more.
Aerodynamic Jump happens anytime a bullet encounters a different crosswind. Most notably at the muzzle. However. If a bullet flew 700 yards with a 10 mph crosswind, then at 700 yards that crosswind stopped the bullet would experience the near (key word in near) exact reverse of the AJ at the muzzle. Important note here, that the bullet will not reverse the course it already experienced, just that the a majority of the AJ effect will reverse at that point. In a response to the change. AJ happens at an equal magnitude down range as it does at the muzzle. But... the flight path has shortened at this point so to the user it could very likely be lost in the noise.
So down range AJ is mostly inconsequential. We do have modeling and system that can correct for this at all times with varying winds... however your cell phone doesn't (not yet) have the power to perform these in a reasonable amount of time. Also 6DOF requires a lot of variables that cannot be measured outside some pretty expensive lab equipment to be precise.
AJ is neither a perturbation happening in a definite point or a perturbation ocurring over an extended space-domain, being actually a Regional transformation. This can be proved in terms of Yaw and Lift, and mathematically by the EOMs, meaning AJ is the outcome of the change in transverse CG velocity, (Lift force), acting once the bullet enters the Free Flight zone until it reaches its first local maxima in Yaw (or swerve). Bottom line, it can only take place near the muzzle and not further downrange. Wind is not the only reason for a JUMP, it's just another cause causing it. Why do you think AJ is an angular constant ?
Unfortunately this is not the cause. AJ can be thought of as a change of course. It happens in a moment, but changes the over all flight path of the bullet. Once the crosswind changes, or stops it actually happens again. If the crosswind were to go dead. Example. You shoot 800 yards. Their is a 10mph crosswind at the muzzle. You then shoot into a windless void (a 200 yard building designed to negate all wind) which happens at 500 yards. You will get an effect that is opposite which you had at the muzzle. Then when it exits that 200 yard wind block if it encounters another crosswind it will then have a 3rd effect on the bullet. Each one changing the bullets path slightly. However that jump of 0.1 at now 700 yards on its way to the 800 yard target will likely be inconsequential in the noise of everything else. That jump that happened at the muzzle and didn't change until the 500 yard mark will have the most effect (albeit very likely only one or two scope clicks).
AJ is an angular constant because that deflection is mostly permanent in the aspect that the average wind for most shooters will remain the same where the wind matters. That 0.30 deflection will mostly be seen at the target location. Unless you were to do something like shoot 1000 yards, and only the first 100 yards were open to the environment and the last 900 yards were somehow completely isolated from all wind effects entirely. Then at 100 yards the AJ would reverse and you wouldn't have anything that other 900 yards which is a strange situation but not probable for most people.