Drift and jump have nothing to do with each other. Drift is due to a yaw of repose, which is defined as a quasi-steady state yaw (basically, the average yaw) to the side caused by gravity and spin. That yaw is relative to the airflow, which already accounts for wind. YOR imparts a lift force, which causes drift. Wind has nothing to do with it. The angular value grows with distance because the lift force is always present.
Wind deflection is caused by drag, not lift. Drop is obviously caused by gravity, and slowed by drag. This is why wind and drop are related, and both are covered by BC.
[Wind deflection is indeed caused by aerodynamic drag. The drag force on the flying bullet is always "downwind" relative to the apparent wind experienced by the moving bullet. The apparent wind (Wa) is always W - V, a three-dimensional vector difference. The magnitude of this drag force is about 1.1 pounds for a 168-gr 30-caliber rifle bullet at 2800 fps. This is 46 times the weight of that rifle bullet. Crosswind sensitivity is determined by this force ratio. At a given airspeed and for the same bullet design aways flying nose forward in the same atmosphere, the drag force varies with the frontal cross-sectional area of the bullet; ie, with the square of its caliber. The weight (m*g) of the bullet varies with the cube of its caliber, all else being equal. So, this Drag/Wt ratio varies inversely with caliber, all else being equal. That is why large-caliber bullets have less wind sensitivity than smaller-caliber bullets.]
Aerodynamic Jump is due to an angular misalignment and/or rotational velocity upon exiting the bore. It is a transient effect that happens immediately after launch, and it causes an angular change in the line of departure. The only thing it has to do with wind is that wind can be the source of the initial tipping.
[There are many types of aerodynamic jump phenomena based on several different causes. One type is due to the just-fired bullet entering the ambient atmosphere having a non-zero aeroballistic yaw or yaw-rate. This could be caused by a bad muzzle crown or a destabilization within an improperly designed muzzle brake, for examples. Another type (CWAJ) could be caused by a perfectly launched rifle bullet encountering a crosswind instead of still ambient air. Yet another type of AJ occurs any time the flying bullet encounters a step-change in the direction of the apparent wind it is seeing. In every case, the aerodynamic jump deflection is 90 degrees advanced in the sense of the rifling twist direction (CW for RH twist) from the cross-track direction of the flight disturbance.]
CG Jump is similar to AJ, but it results from a lateral offset CG of the bullet (due to manufacturing tolerances). Think about the direction a CG is moving when it leaves the bore. If it's offset from the centerline, it will leave at an angle determined by its helical path down the bore. Wind plays no part here, but your bullets do. This is one reason FMJs suck (AJ is another).
[To avoid confusion, I prefer to call this type of trajectory deflection "lateral throw-off." It occurs whenever the CG of the bullet followed a helical (spiral) path as the bullet traversed the bore of the rifle barrel. The bullet "flies off on a tangent" as soon as it is no longer constrained by the barrel. Lateral throw-off can be cause by firing bullets which were manufacture out of static balance or by firing perfectly made bullets with "in-bore yaw," or by both effects together, as occurs with jacketed, lead-cored VLD match bullets.]
Neither Aerodynamic Jump nor CG Jump grow angularly with distance. There is no down range force that causes those effects.
They can all be calculated if you have good bullet aerodynamic data. The calculations are not hard, but gathering the data is.
[These statements are correct, Damon.]
Comments added in-line in [brackets].
Jim Boatright