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the projectiles seem to shoot too randomly, which should not have happened; ancient artilleries were more consistent than what some might give them credit for. The simulation was so random that the back artillery once hit another artillery on its own side!!! Secondly, although the difference might not be much, air is less dense at 100 ft upwards. Your simulation does not appear to take variations in friction into account.
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The reason they're so random is because of the friction between the rock and the catapult itself. I made lots of tests to see what the most common result was. As you can see the back catapults hardly reaches the mordor forces. Your drawing makes it look like they would reach far into the lines which isn't true. You could think of the randomness as different sized blocks of stone. Also you can't really say my simulation is more inacurrate than your drawing since it actually uses a real physic model to simulate what would actually happen. Now you could complain about the perfectly round balls or the force the catapults throws the stones away with. But that still doesn't take away from it showing that your drawing is way off.
EDIT: Also I don't think they placed catapults on that stone thing sticking out.