Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp94.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10633/30·(8−0.5)/1000 + 0.5)·30 = 94.7 m
Max Vert Disp56.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 94.7 × 0.6 = 56.8 m
Med Horiz Disp30.3 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 94.7 × 0.32 (σ=2) = 30.3 m
Med Vert Disp18.2 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 56.8 × 0.32 (σ=2) = 18.2 m
AP Pen Close208.9 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 × 2438 × 22.68^0.69 × 0.12^-1.07 × 808^1.38 = 208.9 mm. Matches the in-game spec card.
AP Pen Far38.4 mm
Same formula at the ship's max firing range (13.3 km), where the shell has slowed to 236.8 m/s: 1e-7 × 2438 × 22.68^0.69 × 0.12^-1.07 × 236.8^1.38 = 38.4 mm.
HE penetration20 mm
20 mm ≈ 120 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(120 mm caliber / 14.3) = 8 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius8
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 time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha10,200
1,700 HE damage x 6 broadside guns = 10,200.
AP full-salvo alpha12,600
2,100 AP damage x 6 broadside guns = 12,600.
Base HE DPM136,000
10,200 HE full-salvo alpha x 60 / 4.5 s base reload = 136,000.
Base AP DPM168,000
12,600 AP full-salvo alpha x 60 / 4.5 s base reload = 168,000.
Base shells/min80
6 broadside guns x 60 / 4.5 s base reload = 80.
Base fires/min6.4
6 HE shells x 60 / 4.5 s reload x 8% fire chance = 6.4.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed67 kt
Travel time to max range57.3 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
1 launchers x 4 tubes.
Per-side salvo4 torpedoes
4 (centerline launchers train across - full salvo to either side).
Full-salvo damage62,668
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage62,668
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS108
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (10×3.5×1) + (11×3.5×1) + (4×3.5×0.95) + (6×3.5×1) = 108. 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 index287
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 range1.2 km
Secondary battery firepower
Secondary DPM (per side)30,000
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: 1×2 102 mm (1/side) × 60/3 × 1500 = 30,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1500
Maximum HE damage per shell across secondary HE families. Best on this ship: 1500 from the 102 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 102 mm family.
Max HE pen17 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: 17 mm from the 102 mm family.
Damage Control Party
Smoke Generator
Engine Boost
Sonar