Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp170.2 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14550/30·(10−1.6)/1000 + 1.6)·30 = 170.2 m
Max Vert Disp102.1 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 170.2 × 0.6 = 102.1 m
Med Horiz Disp58.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 170.2 × 0.344 (σ=1.8) = 58.5 m
Med Vert Disp35.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 102.1 × 0.344 (σ=1.8) = 35.1 m
Dispersion familyBC Disp.
Battlecruiser dispersion. The standard mid-tier reference family that Georgia, Stalingrad, and Siegfried are compared against.
AP Pen Close604 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 × 2225 × 442^0.69 × 0.305^-1.07 × 870^1.38 = 604 mm. Matches the in-game spec card.
AP Pen Far308.3 mm
Same formula at the ship's max firing range (20 km), where the shell has slowed to 534.5 m/s: 1e-7 × 2225 × 442^0.69 × 0.305^-1.07 × 534.5^1.38 = 308.3 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 Radius75
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha32,400
4,050 HE damage x 8 broadside guns = 32,400.
AP full-salvo alpha65,600
8,200 AP damage x 8 broadside guns = 65,600.
Base HE DPM69,429
32,400 HE full-salvo alpha x 60 / 28 s base reload = 69,429.
Base AP DPM140,571
65,600 AP full-salvo alpha x 60 / 28 s base reload = 140,571.
Installed HE DPM77,143
32,400 HE full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 77,143.
Installed AP DPM156,190
65,600 AP full-salvo alpha x 60 / 25.2 s installed reload (Main Battery Mod. 3 = -10%) = 156,190.
Base shells/min17.1
8 broadside guns x 60 / 28 s base reload = 17.1.
Installed shells/min19
8 broadside guns x 60 / 25.2 s installed Artillery reload = 19.
Base fires/min2.91
8 HE shells x 60 / 28 s reload x 17% fire chance = 2.91.
Installed fires/min3.24
8 HE shells x 60 / 25.2 s installed reload x 17% fire chance = 3.24.
AA defense
Close-range AA DPS362
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (38×3.5×0.9) + (56×3.5×0.85) + (24×3.5×0.9) = 362. 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 range5.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1329
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)159,600
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: 7×2 130 mm (7/side) × 60/5 × 1900 = 159,600. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1900
Maximum HE damage per shell across secondary HE families. Best on this ship: 1900 from the 130 mm family.
Max HE fire chance9%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 9% from the 130 mm family.
Max HE pen22 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: 22 mm from the 130 mm family.
Damage Control Party
Main Battery Reload Booster
Sonar
Defensive AA Fire
Repair Party
Catapult Fighter
Engine Boost