Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp94.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10590/30·(8−0.5)/1000 + 0.5)·30 = 94.4 m
Max Vert Disp56.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 94.4 × 0.6 = 56.7 m
Med Horiz Disp30.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 94.4 × 0.32 (σ=2) = 30.2 m
Med Vert Disp18.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 56.7 × 0.319 (σ=2) = 18.1 m
AP Pen Close215.4 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 × 2300 × 28.12^0.69 × 0.12^-1.07 × 774^1.38 = 215.4 mm. Matches the in-game spec card.
AP Pen Far56.2 mm
Same formula at the ship's max firing range (13.2 km), where the shell has slowed to 292.5 m/s: 1e-7 × 2300 × 28.12^0.69 × 0.12^-1.07 × 292.5^1.38 = 56.2 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 time9 s
180 degrees / 20 deg/s traverse speed = 9 s.
HE full-salvo alpha10,500
1,750 HE damage x 6 broadside guns = 10,500.
AP full-salvo alpha13,500
2,250 AP damage x 6 broadside guns = 13,500.
Base HE DPM134,043
10,500 HE full-salvo alpha x 60 / 4.7 s base reload = 134,043.
Base AP DPM172,340
13,500 AP full-salvo alpha x 60 / 4.7 s base reload = 172,340.
Base shells/min76.6
6 broadside guns x 60 / 4.7 s base reload = 76.6.
Base fires/min6.89
6 HE shells x 60 / 4.7 s reload x 9% fire chance = 6.89.
Torpedoes
Torpedo detectability1.6 km
Estimated torpedo reaction time9.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range53.3 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 damage39,200
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage39,200
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS140
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (10×3.5×1) + (21×3.5×0.95) + (2×3.5×1) + (8×3.5×1) = 140. 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 range4.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index378
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)11,250
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: 1×1 102 mm (0.5/side) × 60/4 × 1500 = 11,250. 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
Engine Boost
Surveillance Radar
Smoke Generator