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as to its performance against armour im just going to go out on a limb here and guess its something to do with the shell distributing its energy over a greater area of the targets armour on impact (~60% more energy spread over a ~40% larger cross section)
I don't think so, because the cannon itself has no relation to the 10.5 cm FlaK 38. The 10.5 cm FlaK 38 was only 63 calibers long, the proposed upgrade to the Tiger II had a 68 caliber long barrel. The cannon itself was never accepted due to its lack of use by the Heer itself. The 10.5 centimeter L/68 cannon was certainly a real gun, just that its actual performance is unknown for the most part.
Doubtful. There is only so much energy you can achieve from a certain caliber shell, so eventually you move on to a larger shell just to get that additional mass and powder to propel the shell forward. Case in point, modern attempts to recreate main battle tank turrets to accomodate larger guns for greater anti-armor capabilities. In addition, armor piercing shells have sharp tips to direct all of their kinetic energy to a single point. This helps concentrate the energy to a single point as opposed to a large area. All of that culminated in APDS and APFSDS shells - ultra-dense needles, basically.
You're not wrong, but the thing is: why is the 10.5 centimeter gun underperforming when it should be performing better [than the long 88] given the shell details that they've provided to us in the game?
as to the 'sharp tip' that is only the actual penetrator, the shells are actually tipped with a cap to normalize the shell against the armour first. with just a simple AP shell they are liable to deflect otherwise. and even after that the wholewidth of the round still has to force its way through the armour after its sharp tip. going back to your 'needle' apfsds they get around the problem because aparently with the forces and extremely high densities involved they act more like a fluid collision
The diameter of a 105mm shell is only 16.19% larger at its widest point in comparison to the 88mm shell. While the shell itself, including the casing which contains the propellant, may be larger in general, it is not a dramatic increase. This 62.5% increase of kinetic energy released upon impact is not diminished sharply simply because the ballistic cap is bigger in size. The fact that this shell has greater kinetic energy to begin with is the implication itself that it should be able to penetrate thicker armor than it already can in the game.
As for sabot rounds: my bad, I completely forgot that APDS and APFSDS rounds were subcaliber rounds and that their shells detach after they're fired. But still, APCBC rounds like the Panzergranate 39 still feature a somewhat sharp tip that directs the impact force into that area.
That aside, I find it hard to believe that the difference between the long 88 and the 105mm L/68 is a negligible ~12 millimeters, especially since the mass of the shells is considerably different and the speed varies, resulting in greater kinetic energy for the 105mm shell, not the 88mm shell.
Sadly, I think you're probably right. Once it's removed from the game's tech tree, they won't have to care about how it performs.
Germany needs to be nerfed into the ground, that's why. They are raising German repair costs into the ceiling, and they want to leave a gap in 7.0. A massive gap.