This is the last time I'm going over this with you. One more hurrah to try and help you see common sense. If you won't see it, that's your problem, and it's not really worth discussing as much as we already have to be honest.
You are inventing non existent definitions.
charge
(1)
: a violent rush forward (as to attack)
https://www.merriam-webster.com/dictionary/charge
Why rush? Why? The Roman tortoise worked quite well against projectiles, so why run when you could march? It was much easier to keep cohesion by simply walking at an even pace. Why run? To
collide with the bloody enemy at speed and
break their formation.
Wedge formation existed well before age of Alexander and Macedonians themselves adopted it from other cultures, like Scythians. Moreover it was not used exclusively by cavalry, it was used also by the infantry and therefore idea that it required physically ramming opponents with your body to reach effect is absurd.
I am very aware of this, and was including infantry applications. The Roman example I cited above was used by legionary maniples, not by cavalry alone. The purpose in this instance was to physically split the enemy's lines and drive a wedge in the middle of them, forcing them to fight up close where the gladius was a better weapon than the longer arms of the Gauls. Why do you keep ignoring the parts of my posts that unequivocally prove you wrong?
I have looked:
Guess what? It does not involve horse collision.
You're talking horse-on-horse in this situation. This video covers jousting, not cavalry-to-infantry charges in formation. This is talking specifically about lance techniques against other horsemen, lance against lance, which was a very different beast. Cavalry were mobile weapons and you were not going to find situations where one group of knights would charge into a stationary group. In this case, both sides were moving at speed and would be maneuvering so as to not hit the rider in front of them.
This is a very different application to the classic charge to break infantry lines.
Discourse from one of the few men who are extensively practiced with mounted combat today:
- On charging at speed. The statement: A group of mounted knights had to deliver the lance at a full gallop to have effect on the foot, which runs contrary to your claim in an earlier post that charges weren't done at speed and it was thus easy to stop short.
- Demonstrating a charge. Notice that you ride through the target. Executed against grouped infantry, this demands that some of the infantry are simply bowled over if they don't move out of the way. The horse does not and cannot stop on a dime, and even if it could, the lance would have little effect as a result.
- On the specifics of a battlefield charge. The reason the massed ranks were more effective the closer they were is because the mass of the unit is larger, making for a more powerful impact when they collide with the enemy. A single rider charging into a shield wall would only knock over three or four people. 70,000 pounds or so worth of horses all grouped into one cohesive mass, however, could trample a small host.
[A couched lance] allowed the knight to mount a forceful charge through the ranks of enemy infantry (who were often loosely formed), with the heavy lance epitomizing the momentum of the heavily armored cavalryman in his full motion. And as can be surmised from this description, the infantrymen (especially the lesser trained ones) also had to deal with the devastating psychological impact of an imposing band of war-horses and their expert riders in their full panoply and armament, riding towards them in their greatest speed and momentum.
This tactical gambit of the medieval battlefield may seem simple and brutal, as aptly described by Anna Comnena, a Byzantine princess (and historian) who effusively spoke of how the knights of the First Crusade could punch through the walls of Babylon with their devastating charge. However when it came to organizing massed charges, much had to do with the discipline and training imparted in each of the Norman knights participating in the maneuver.
You have a Byzantine historian-princess talking about knights being able to punch through the walls of Babylon. You have Saracen chroniclers talking about charging knights being able to break the walls of Byzantium, as referenced in the third link above. Both are hyperbole obviously, but why do you think they'd have equated a knight's charge to what is in effect a wrecking ball? Because they trotted really fast until they got to the enemy and then stood there poking them with lances?
In point of fact, that tactic is the worst thing a contingent of knights could do. You completely negate the benefits of cavalry when you stop. A proper charge either steers clear if the commander feels it won't break the lines, or crashes through the enemy, running them down if they flee or retreating over the scattered enemy while they reform to grab new lances and have another run. Infantry is the same situation, minus ever steering clear. The point of an infantry charge is, likewise, to break the enemy's lines. It's why uphill charges were generally ineffectual, and downhill charges were so devastating even on foot. Shield up, smash into the enemy, break their cohesion. That's the entire purpose of a charge.
Your example is entirely irrelevant, because that's not military formation and they are not fighting with weapons. Military formation of the infantry was formed several ranks deep and there is no way horse can go through it. If infantry holds still, horse will end impaled in the spears and pikes or knocked on the ground. I already showed you video of what full speed impact in to the single feeble woman does to the horse. You can guess what formation of men in close ranks with weapons and armor would do.
Looks to me like it does absolutely nothing to the horse, and this isn't even a horse trained for combat. Your example showed a woman running in front of a blindered horse from the side and getting under its legs, while it was entirely focused on a race. A horse charging at an opponent would be aware of the foe and trained to make contact. Also, just how fragile do you think a horse is? The movies show horses getting impaled on spears on impact, yes, but life is not a movie. Horses can take a stab and keep going if need be, and this assumes the line holds to begin with. If a line of spearmen held, often the charge would be curbed near the last moment, but just as often they followed through. Let's do a little math...
You have a spear made of white ash. Spear shafts were commonly made of rather sturdy ash wood. White ash - the strongest type of ash - has a
parallel-to-grain compression strength of 7,410 pounds per square inch and a
perpendicular-to-grain compression strength of 1,106 pounds per square inch.
Now let's look at the average war horse. We can surmise that on the smaller side of the estimate, war horses weighed around 1,700 pounds, plus another 50 or so for their barding (which protects them from thrusts, by the way!). That's 1,750 pounds or
793.78 kg, and that's not even accounting for the rider. Just the horse. The average horse bred for long-distance running (which war horses often were) clocks around 40 miles per hour, some faster. This equates to
17.8 m/s.
Stop distance must be determined. Let's assume the horse running through is the stop distance. There are no hard numbers on this, so let's just assume it moves about two ranks past the man whose spear hits him. (Before you protest, the shorter the stop distance, the greater the impact.) With a braced stance, we can put the "depth" of a footman at around two and a half feet, maybe three, plus another five feet or so for the amount of spear out in front of him. That's a total of 11 feet or
3.35 meters.
Now we can plug these values into the equation for solving impact from a horizontally moving object:
Work =
Kinetic
Energy is
Force
× stop
distance
= 0.5 × mass
× velocity
^2. Therefore,
so F = (0.5 × m × v^2) ÷ d. For us, that's ((0.5 x 793.78 ) x (17.8 ^ 2)) / 3.3, which equates to 37,537.5 Newtons of impact force, or
8,438 pound-force.
What this means is... If you managed to point the spear
directly at the horse and hold it perfectly steady, the spear
might not break from the weight of one horse and its panoply alone. If you're lucky. That's assuming you can keep it in your hands with 8,438 pounds of force trying to drive it through your hands and into your hip (the high end of the normal range for handgrip strength in a 25-29 year-old male is about 126 pounds). If you're just a little shaky and that spear pushes up, down, left, or right at all, it's going to snap no questions asked.
And this, again, is a single horse. Now let's take what we were told about how tightly knights formed for a charge and apply that to our equation. Assume a single horse colliding with a single rider has
four ranks of other knights behind him. Probably more, but let's go with four. Each rank applies strength in a pyramid like so:
O = colliding knight
O = allied knights
OOOO
OOO
OO
O
Thus, counting only four ranks, we see that this single horse has the mass of
nine other horses pushing it forward. Plugging this into the equation is simple; we merely multiply mass by ten (one for the lead horse, nine for the horses pushing it). ((0.5 x 7937.8 ) x (17.8 ^ 2)) / 3.35 becomes 375,375 Newtons, or
84,387 pounds of force being applied by the horse when it collides with the infantry lines. Please tell me in what world a human being can resist that kind of pressure.
Cavalry charge can go through formation in one instance only, when infantry formation is broken during charge. Then there is no need for horses to ram and triple over and impale themselves on anything and they can actually go through.
Even if we apply the backing mass of ten ranks of spearmen as above, assuming all of them held their ground and didn't budge an inch...
X = impacted spearman
X = allied spearmen
X
XX
XXX
XXXX
XXXXX
XXXXXX
XXXXXXX
XXXXXXXX
XXXXXXXXX
XXXXXXXXXX
Now resistive force isn't a thing I'm up on, so this will be a dirty calculation, but let's assume each man weighs about 200 pounds and has leg strength sufficient to lift another 300. We're looking at 100 men applying mass to resist at the point of impact, and that's generous because it doesn't account for how wide of the impact point most of them are in the backmost ranks. 100 x 200 is
20,000 pounds worth of mass. Even if we add the full 300 leg press of each soldier, which doesn't account for the poor angle, necessity of footing, or other variables a leg press doesn't account for... We're still only at
50,000 pounds of resistive force.
If they could keep their horses brave and steady enough to do so, a tightly packed formation of only ten knights could quite easily run straight through ten ranks worth of infantry, and that's mathematics.
It's okay to be wrong. No one is going to judge you for it down the road if you simply came in with incomplete information. We all learn things when we have discourse with others, even things we're already quite knowledgeable about. I learn more about historical tactics every week just by chatting with others who have an interest. It's when you cling to your incomplete information post after post that it starts to look a bit embarrassing. Let it go, my brother. Look at the tapestries. Horses charged into braced infantry. It happened. It happened enough times to show up on three tapestries I was able to find in a brief Google search. Just accept it and move on, it's not that important.