Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp195.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (17600/30·(10−1.6)/1000 + 1.6)·30 = 195.8 m
Max Vert Disp117.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 195.8 × 0.6 = 117.5 m
Med Horiz Disp62.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 195.8 × 0.32 (σ=2) = 62.6 m
Med Vert Disp37.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 117.5 × 0.319 (σ=2) = 37.5 m
AP Pen Close812.2 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 × 2300 × 1108^0.69 × 0.406^-1.07 × 830^1.38 = 812.2 mm. Matches the in-game spec card.
AP Pen Far502.1 mm
Same formula at the ship's max firing range (22 km), where the shell has slowed to 585.8 m/s: 1e-7 × 2300 × 1108^0.69 × 0.406^-1.07 × 585.8^1.38 = 502.1 mm.
HE penetration68 mm
68 mm ≈ 406 mm caliber / 6 (standard HE penetration ratio).
AP overmatch28 mm
floor(406 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius150
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 time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha34,800
5,800 HE damage x 6 broadside guns = 34,800.
AP full-salvo alpha81,000
13,500 AP damage x 6 broadside guns = 81,000.
Base HE DPM74,571
34,800 HE full-salvo alpha x 60 / 28 s base reload = 74,571.
Base AP DPM173,571
81,000 AP full-salvo alpha x 60 / 28 s base reload = 173,571.
Installed HE DPM82,857
34,800 HE full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 82,857.
Installed AP DPM192,857
81,000 AP full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 192,857.
Base shells/min12.9
6 broadside guns x 60 / 28 s base reload = 12.9.
Installed shells/min14.3
6 broadside guns x 60 / 25.2 s installed Artillery reload = 14.3.
Base fires/min5.14
6 HE shells x 60 / 28 s reload x 40% fire chance = 5.14.
Installed fires/min5.71
6 HE shells x 60 / 25.2 s installed reload x 40% fire chance = 5.71.
AA defense
Close-range AA DPS441
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (102×3.5×0.75) + (58×3.5×0.7) + (12×3.5×0.75) = 441. 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 index1669
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
Secondary battery firepower
Secondary DPM (per side)50,000
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: 2×2 180 mm (2/side) × 60/6 × 2500 = 50,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2500
Maximum HE damage per shell across secondary HE families. Best on this ship: 2500 from the 180 mm family.
Max HE fire chance13%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 13% from the 180 mm family.
Max HE pen30 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: 30 mm from the 180 mm family.
Damage Control Party
Repair Party
Secondary Battery Booster
Surveillance Radar