Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp100.5 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{11400}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 100.5\,\text{m}$
Max Vert Disp60.3 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 100.5 \cdot 0.6 = 60.3\,\text{m}$
Med Horiz Disp32.1 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 100.5 \cdot 0.319\;(\sigma = 2) = 32.1\,\text{m}$
Med Vert Disp19.3 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 60.3 \cdot 0.32\;(\sigma = 2) = 19.3\,\text{m}$
AP Pen Close244 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1900 \cdot 33.4^{0.69} \cdot 0.13^{-1.07} \cdot 950^{1.38} = 244\,\text{mm}$. Matches the in-game spec card.
AP Pen Far66.4 mm
Same formula at the ship's max firing range (14.2 km), where the shell has slowed to 369.9 m/s: $P = 10^{-7}\cdot 1900 \cdot 33.4^{0.69} \cdot 0.13^{-1.07} \cdot 369.9^{1.38} = 66.4\,\text{mm}$.
HE penetration22 mm
22 mm ≈ 130 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(130 mm caliber / 14.3) = 9 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius12
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
All 6 barrels bear on the broadside.
Turret turn time12 s
180 degrees / 15 deg/s traverse speed = 12 s.
HE full-salvo alpha9,900
1,650 HE damage x 6 broadside guns = 9,900.
AP full-salvo alpha18,900
3,150 AP damage x 6 broadside guns = 18,900.
Base HE DPM102,414
9,900 HE full-salvo alpha x 60 / 5.8 s base reload = 102,414.
Base AP DPM195,517
18,900 AP full-salvo alpha x 60 / 5.8 s base reload = 195,517.
Installed HE DPM114,231
9,900 HE full-salvo alpha x 60 / 5.2 s installed reload (Main Battery Mod. 3 = -10%) = 114,231.
Installed AP DPM218,077
18,900 AP full-salvo alpha x 60 / 5.2 s installed reload (Main Battery Mod. 3 = -10%) = 218,077.
Base shells/min62.1
6 broadside guns x 60 / 5.8 s base reload = 62.1.
Installed shells/min69.2
6 broadside guns x 60 / 5.2 s installed Artillery reload = 69.2.
Base fires/min3.72
6 HE shells x 60 / 5.8 s reload x 6% fire chance = 3.72.
Installed fires/min4.15
6 HE shells x 60 / 5.2 s installed reload x 6% fire chance = 4.15.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.3 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed60 kt
Travel time to max range51.3 s
range / (speed kt x 2.6 community game-speed factor).
Tube count10
2 launchers x 5 tubes.
Per-side salvo10 torpedoes
10 (centerline launchers train across - full salvo to either side).
Full-salvo damage134,000
All tubes hitting one target: tubes x per-torpedo simulated damage = 10 x 13,400 = 134,000.
Per-side salvo damage134,000
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 10 x 13,400 = 134,000.
AA defense
Close-range AA DPS215
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (34×3.5×1) + (11×3.5×0.95) + (17×3.5×1) = 215. 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 range5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index827
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.
Near aura range3.1 km
Damage Control Party
Sonar
Repair Party
Engine Boost
Main Battery Reload Booster