Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp134.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14717/30·(8−1.1)/1000 + 1.1)·30 = 134.5 m
Max Vert Disp80.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 134.5 × 0.6 = 80.7 m
Med Horiz Disp43 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 134.5 × 0.32 (σ=2) = 43 m
Med Vert Disp25.8 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 80.7 × 0.32 (σ=2) = 25.8 m
AP Pen Close414.7 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 × 2468 × 125.85^0.69 × 0.203^-1.07 × 840^1.38 = 414.7 mm. Matches the in-game spec card.
AP Pen Far132.2 mm
Same formula at the ship's max firing range (18.4 km), where the shell has slowed to 366.9 m/s: 1e-7 × 2468 × 125.85^0.69 × 0.203^-1.07 × 366.9^1.38 = 132.2 mm.
HE penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius24
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha35,000
3,500 HE damage x 10 broadside guns = 35,000.
AP full-salvo alpha47,000
4,700 AP damage x 10 broadside guns = 47,000.
Base HE DPM150,000
35,000 HE full-salvo alpha x 60 / 14 s base reload = 150,000.
Base AP DPM201,429
47,000 AP full-salvo alpha x 60 / 14 s base reload = 201,429.
Installed HE DPM166,667
35,000 HE full-salvo alpha x 60 / 12.6 s installed reload (Main Battery Mod. 3 = -10%) = 166,667.
Installed AP DPM223,810
47,000 AP full-salvo alpha x 60 / 12.6 s installed reload (Main Battery Mod. 3 = -10%) = 223,810.
Base shells/min42.9
10 broadside guns x 60 / 14 s base reload = 42.9.
Installed shells/min47.6
10 broadside guns x 60 / 12.6 s installed Artillery reload = 47.6.
Base fires/min7.29
10 HE shells x 60 / 14 s reload x 17% fire chance = 7.29.
Installed fires/min8.1
10 HE shells x 60 / 12.6 s installed reload x 17% fire chance = 8.1.
Torpedoes
Torpedo detectability1.8 km
Estimated torpedo reaction time9.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed76 kt
Travel time to max range40.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count16
4 launchers x 4 tubes.
Per-side salvo8 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage224,000
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage112,000
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS158
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (32×3.5×0.9) + (18×3.5×0.9) = 158. 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 index596
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.
Secondary battery firepower
Secondary DPM (per side)100,800
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: 4×2 127 mm (4/side) × 60/5 × 2100 = 100,800. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2100
Maximum HE damage per shell across secondary HE families. Best on this ship: 2100 from the 127 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 127 mm family.
Max HE pen21 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: 21 mm from the 127 mm family.
Damage Control Party
Sonar
Defensive AA Fire
Catapult Fighter
Repair Party
