This thread is for those who enjoy a mathematical/technical look at pool shots.
Looking at the ob margin of error going into the pocket, and the cb to ob to pocket relationship, you can see from this sketch how much the ob or cb can be moved laterally in the shot and still be pocketed using the same fractional aim point or reference. This example uses a halfball aim.
Keeping the ob still, the cb can be moved left or right of the shot line based on the ob's margin for error going into the pocket. So with a +/- 2.1° moe, a cb setting 26" from the ob has +/- 0.95" of play room. In other words, you can move it 0.95" left or right of the aim line (the aim that sends the ob to center pocket) and still aim for the ob edge and make the shot. From 65" away (cb2) the cb has +/- 2.4" of play room, from which the same halfball aim will pocket the ob.
The ob's window for play/movement is determined from the cb's end. By keeping the cb still, the ob can be moved left or right within a window equal to the window in which the cb can go cleanly into the pocket. In other words, this halfball shot, using CB1, will always produce a 30° angle. We could move the ob left or right by 0.54" and this 30° shot angle will shift from center pocket to either the farthest point left or right of center pocket that will accept the ob into the pocket.
The farther the ob is from the pocket the less wiggle/play room there is on the cb end of the shot. The closer the cb is to the ob the less play room there is on the ob end of the shot. Still, this explains how, for most shots, one aiming reference can cover several slightly different shot angles.
Looking at the ob margin of error going into the pocket, and the cb to ob to pocket relationship, you can see from this sketch how much the ob or cb can be moved laterally in the shot and still be pocketed using the same fractional aim point or reference. This example uses a halfball aim.
Keeping the ob still, the cb can be moved left or right of the shot line based on the ob's margin for error going into the pocket. So with a +/- 2.1° moe, a cb setting 26" from the ob has +/- 0.95" of play room. In other words, you can move it 0.95" left or right of the aim line (the aim that sends the ob to center pocket) and still aim for the ob edge and make the shot. From 65" away (cb2) the cb has +/- 2.4" of play room, from which the same halfball aim will pocket the ob.
The ob's window for play/movement is determined from the cb's end. By keeping the cb still, the ob can be moved left or right within a window equal to the window in which the cb can go cleanly into the pocket. In other words, this halfball shot, using CB1, will always produce a 30° angle. We could move the ob left or right by 0.54" and this 30° shot angle will shift from center pocket to either the farthest point left or right of center pocket that will accept the ob into the pocket.
The farther the ob is from the pocket the less wiggle/play room there is on the cb end of the shot. The closer the cb is to the ob the less play room there is on the ob end of the shot. Still, this explains how, for most shots, one aiming reference can cover several slightly different shot angles.
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