Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp116.9 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{12153}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 116.9\,\text{m}$
Max Vert Disp70.1 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 116.9 \cdot 0.6 = 70.1\,\text{m}$
Med Horiz Disp37.3 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 116.9 \cdot 0.319\;(\sigma = 2) = 37.3\,\text{m}$
Med Vert Disp22.4 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 70.1 \cdot 0.32\;(\sigma = 2) = 22.4\,\text{m}$
AP Pen Close199.6 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1794 \cdot 38^{0.69} \cdot 0.14^{-1.07} \cdot 850^{1.38} = 199.6\,\text{mm}$. Matches the in-game spec card.
AP Pen Far41.9 mm
Same formula at the ship's max firing range (15.2 km), where the shell has slowed to 274.3 m/s: $P = 10^{-7}\cdot 1794 \cdot 38^{0.69} \cdot 0.14^{-1.07} \cdot 274.3^{1.38} = 41.9\,\text{mm}$.
HE penetration23 mm
23 mm ≈ 140 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(140 mm caliber / 14.3) = 9 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius8
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 alpha4
Barrels that can bear on one beam (4 of 5); casemate/wing mounts only fire one side.
Turret turn time21.2 s
180 degrees / 8.5 deg/s traverse speed = 21.2 s.
HE full-salvo alpha9,600
2,400 HE damage x 4 broadside guns = 9,600.
AP full-salvo alpha10,800
2,700 AP damage x 4 broadside guns = 10,800.
Base HE DPM96,000
9,600 HE full-salvo alpha x 60 / 6 s base reload = 96,000.
Base AP DPM108,000
10,800 AP full-salvo alpha x 60 / 6 s base reload = 108,000.
Base shells/min40
4 broadside guns x 60 / 6 s base reload = 40.
Base fires/min4
4 HE shells x 60 / 6 s reload x 10% fire chance = 4.
Torpedoes
Torpedo detectability1.5 km
Estimated torpedo reaction time9.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed59 kt
Travel time to max range65.1 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage89,802
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 14,967 = 89,802.
Per-side salvo damage44,901
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 3 x 14,967 = 44,901.
AA defense
Close-range AA DPS88
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (28×3.5×0.9) = 88. Covers AA-only mounts plus dual-purpose secondaries (Bismarck 105mm, USN 5"/38 cruiser secondaries) and dual-purpose main batteries (Sumner-class 5"/38, Akizuki-line 100mm). Formula validated against in-game captures on California, Sumner, Manfred von Richthofen, Dante Alighieri (exact) and within +/-17% on the remaining verified ships.
Maximum AA range3.1 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index273
SUM over AA auras of (aura DPS x aura range km). A plane crossing the AA bubble is exposed to each aura for a time proportional to that aura's range, so long-reach DPS is worth more than the same DPS in a short bubble. Units: DPS*km; used to rank overall AA threat across the cohort.
Damage Control Party
Smoke Generator
Sonar