How should side winds be allowed for?

In the note on arrow trajectory, formulae were developed for the y (up/down position) and z (left/right position) in terms of x (down range position).  A point was mentioned in that note that the form of both equations was the same, i.e. the acceleration due wind in the z direction is similar to the acceleration due to gravity in the y direction.  Thus, it is clear that the shape of the trajectories in the x-y and x-z planes must also be similar.  Since the individual trajectories are the projections of the actual three dimensional trajectory and since the errors are required to be zero at the target and the bow, there must be an angle in the y-z plane which remains constant throughout flight.  This conclusion leads to a method of compensating for side winds by tilting the bow into the wind.  Since the angle is determined by the accelerations due to wind and gravity, the angle is the same for a given wind speed independent of target range.

Obviously, tilting the bow is not the only way to compensate for errors due to side winds: aiming off or changing the windage have the same effect.  Changing the windage is not a good idea if the wind varies.  Even if the wind stays constant the windage has to change for every distance shot.  Aiming off is preferable but again the amount of aim off varies with range.  In strong winds the aim off method has problems in that the point aimed at might be indistinct.  Tilting the bow has a distinct advantage in that the point of aim is always the gold and anything learned about the angle of tilt required at one range can be used at the next range.