Main battery formulas
Shell Grouping (σ)1.9
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp165.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13985/30·(10−1.6)/1000 + 1.6)·30 = 165.5 m
Max Vert Disp99.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 165.5 × 0.6 = 99.3 m
Med Horiz Disp54.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 165.5 × 0.332 (σ=1.9) = 54.9 m
Med Vert Disp32.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 99.3 × 0.331 (σ=1.9) = 32.9 m
Dispersion familyBC Disp.
Battlecruiser dispersion. The standard mid-tier reference family that Georgia, Stalingrad, and Siegfried are compared against.
AP Pen Close557.4 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 × 2500 × 395^0.69 × 0.305^-1.07 × 798^1.38 = 557.4 mm. Matches the in-game spec card.
AP Pen Far225.9 mm
Same formula at the ship's max firing range (19.2 km), where the shell has slowed to 414.7 m/s: 1e-7 × 2500 × 395^0.69 × 0.305^-1.07 × 414.7^1.38 = 225.9 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 time40 s
180 degrees / 4.5 deg/s traverse speed = 40 s.
HE full-salvo alpha32,400
4,050 HE damage x 8 broadside guns = 32,400.
AP full-salvo alpha64,000
8,000 AP damage x 8 broadside guns = 64,000.
Base HE DPM69,429
32,400 HE full-salvo alpha x 60 / 28 s base reload = 69,429.
Base AP DPM137,143
64,000 AP full-salvo alpha x 60 / 28 s base reload = 137,143.
Base shells/min17.1
8 broadside guns x 60 / 28 s base reload = 17.1.
Base fires/min2.91
8 HE shells x 60 / 28 s reload x 17% fire chance = 2.91.
AA defense
Close-range AA DPS281
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (10×3.5×0.9) + (67×3.5×0.85) + (16×3.5×0.9) = 281. 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 index964
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)170,000
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: 6×2 100 mm (6/side) × 60/4 × 1400 = 126,000 + 1×3 155 mm (1.5/side) × 60/9 × 2200 = 22,000 + 1×3 155 mm (1.5/side) × 60/9 × 2200 = 22,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2200
Maximum HE damage per shell across secondary HE families. Best on this ship: 2200 from the 155 mm family.
Max HE fire chance11%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 11% from the 155 mm family.
Max HE pen26 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: 26 mm from the 155 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Repair Party
Catapult Fighter
Engine Boost