Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp139.7 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15470}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 139.7\,\text{m}$
Max Vert Disp83.8 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 139.7 \cdot 0.6 = 83.8\,\text{m}$
Med Horiz Disp48.1 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 139.7 \cdot 0.344\;(\sigma = 1.8) = 48.1\,\text{m}$
Med Vert Disp28.8 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 83.8 \cdot 0.344\;(\sigma = 1.8) = 28.8\,\text{m}$
AP Pen Close488.4 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2919 \cdot 152^{0.69} \cdot 0.203^{-1.07} \cdot 762^{1.38} = 488.4\,\text{mm}$. Matches the in-game spec card.
AP Pen Far179.1 mm
Same formula at the ship's max firing range (19.3 km), where the shell has slowed to 368.3 m/s: $P = 10^{-7}\cdot 2919 \cdot 152^{0.69} \cdot 0.203^{-1.07} \cdot 368.3^{1.38} = 179.1\,\text{mm}$.
HE penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius45
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 alpha9
All 9 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha25,200
2,800 HE damage x 9 broadside guns = 25,200.
AP full-salvo alpha45,000
5,000 AP damage x 9 broadside guns = 45,000.
Base HE DPM137,455
25,200 HE full-salvo alpha x 60 / 11 s base reload = 137,455.
Base AP DPM245,455
45,000 AP full-salvo alpha x 60 / 11 s base reload = 245,455.
Installed HE DPM152,727
25,200 HE full-salvo alpha x 60 / 9.9 s installed reload (Main Battery Mod. 3 = -10%) = 152,727.
Installed AP DPM272,727
45,000 AP full-salvo alpha x 60 / 9.9 s installed reload (Main Battery Mod. 3 = -10%) = 272,727.
Base shells/min49.1
9 broadside guns x 60 / 11 s base reload = 49.1.
Installed shells/min54.5
9 broadside guns x 60 / 9.9 s installed Artillery reload = 54.5.
Base fires/min6.87
9 HE shells x 60 / 11 s reload x 14% fire chance = 6.87.
Installed fires/min7.64
9 HE shells x 60 / 9.9 s installed reload x 14% fire chance = 7.64.
AA defense
Close-range AA DPS540
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (94×3.5×0.9) + (49×3.5×0.85) + (31×3.5×0.9) = 540. 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 index1816
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 range2 km
Secondary battery firepower
Secondary DPM (per side)108,000
Sum across all secondary families of (per-side barrels × 60 / reload_s × alpha), where per-side barrels = mounts × barrels-per-mount / 2 (the guns that bear on one broadside target). Per-family: 6×2 127 mm (6/side) × 60/6 × 1800 = 108,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% from the 127 mm family.
Max HE pen21 mm
Maximum HE armor penetration across secondary HE families (caliber × 1/6 for most nations; 1/4 for German/UK BBs). Shells whose pen falls under a plate's armor thickness shatter for 0 hull damage though fire chance still applies. Best on this ship: 21 mm from the 127 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Surveillance Radar
Catapult Fighter
Repair Party