Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp108.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{10970}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 108.7\,\text{m}$
Max Vert Disp65.2 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 108.7 \cdot 0.6 = 65.2\,\text{m}$
Med Horiz Disp34.7 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 108.7 \cdot 0.319\;(\sigma = 2) = 34.7\,\text{m}$
Med Vert Disp20.8 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 65.2 \cdot 0.319\;(\sigma = 2) = 20.8\,\text{m}$
AP Pen Close134.1 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 715^{1.38} = 134.1\,\text{mm}$. Matches the in-game spec card.
AP Pen Far29.1 mm
Same formula at the ship's max firing range (13 km), where the shell has slowed to 236 m/s: $P = 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 236^{1.38} = 29.1\,\text{mm}$.
HE penetration18 mm
18 mm ≈ 105 mm caliber / 6 (standard HE penetration ratio).
AP overmatch7 mm
floor(105 mm caliber / 14.3) = 7 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius3
AP shell over-penetration splash radius; scales with shell mass. Wickes 102mm = 3, standard 152mm CL ~ 20, Iowa 406mm ~ 270, Yamato 460mm = 400, Incomparable 650mm = 550 (max). Larger value = bigger splash damage area when AP over-pens.
Broadside guns used for alpha6
Barrels that can bear on one beam (6 of 12); casemate/wing mounts only fire one side.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha7,200
1,200 HE damage x 6 broadside guns = 7,200.
AP full-salvo alpha13,800
2,300 AP damage x 6 broadside guns = 13,800.
Base HE DPM108,000
7,200 HE full-salvo alpha x 60 / 4 s base reload = 108,000.
Base AP DPM207,000
13,800 AP full-salvo alpha x 60 / 4 s base reload = 207,000.
Base shells/min90
6 broadside guns x 60 / 4 s base reload = 90.
Base fires/min4.5
6 HE shells x 60 / 4 s reload x 5% fire chance = 4.5.
Damage Control Party