Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp183.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (16150/30·(10−1.6)/1000 + 1.6)·30 = 183.7 m
Max Vert Disp110.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 183.7 × 0.6 = 110.2 m
Med Horiz Disp57.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 183.7 × 0.314 (σ=2.05) = 57.6 m
Med Vert Disp34.6 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 110.2 × 0.314 (σ=2.05) = 34.6 m
AP Pen Close622.2 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: 1e-7 × Krupp × mass^0.69 × caliber_m^-1.07 × v0^1.38 = 1e-7 × 2470 × 517^0.69 × 0.305^-1.07 × 762^1.38 = 622.2 mm. Matches the in-game spec card.
AP Pen Far310.7 mm
Same formula at the ship's max firing range (20.2 km), where the shell has slowed to 460.7 m/s: 1e-7 × 2470 × 517^0.69 × 0.305^-1.07 × 460.7^1.38 = 310.7 mm.
HE penetration51 mm
51 mm ≈ 305 mm caliber / 6 (standard HE penetration ratio).
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius125
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 alpha38,700
4,300 HE damage x 9 broadside guns = 38,700.
AP full-salvo alpha80,100
8,900 AP damage x 9 broadside guns = 80,100.
Base HE DPM116,100
38,700 HE full-salvo alpha x 60 / 20 s base reload = 116,100.
Base AP DPM240,300
80,100 AP full-salvo alpha x 60 / 20 s base reload = 240,300.
Installed HE DPM129,000
38,700 HE full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 129,000.
Installed AP DPM267,000
80,100 AP full-salvo alpha x 60 / 18 s installed reload (Main Battery Mod. 3 = -10%) = 267,000.
Base shells/min27
9 broadside guns x 60 / 20 s base reload = 27.
Installed shells/min30
9 broadside guns x 60 / 18 s installed Artillery reload = 30.
Base fires/min7.29
9 HE shells x 60 / 20 s reload x 27% fire chance = 7.29.
Installed fires/min8.1
9 HE shells x 60 / 18 s installed reload x 27% fire chance = 8.1.
AA defense
Close-range AA DPS646
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (107×3.5×0.9) + (71×3.5×0.85) + (31×3.5×0.9) = 646. 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 index2090
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