Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15500/30·(8−1.1)/1000 + 1.1)·30 = 140 m
Max Vert Disp84 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 140 × 0.6 = 84 m
Med Horiz Disp44.7 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 140 × 0.319 (σ=2) = 44.7 m
Med Vert Disp26.8 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 84 × 0.319 (σ=2) = 26.8 m
AP Pen Close320 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 × 2609 × 50.8^0.69 × 0.152^-1.07 × 841^1.38 = 320 mm. Matches the in-game spec card.
AP Pen Far78.7 mm
Same formula at the ship's max firing range (19.4 km), where the shell has slowed to 304.4 m/s: 1e-7 × 2609 × 50.8^0.69 × 0.152^-1.07 × 304.4^1.38 = 78.7 mm.
HE penetration30 mm
In-game data: 30 mm = 152 mm caliber / 5.07 (non-standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius15
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 alpha12
All 12 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha29,400
2,450 HE damage x 12 broadside guns = 29,400.
AP full-salvo alpha37,200
3,100 AP damage x 12 broadside guns = 37,200.
Base HE DPM220,500
29,400 HE full-salvo alpha x 60 / 8 s base reload = 220,500.
Base AP DPM279,000
37,200 AP full-salvo alpha x 60 / 8 s base reload = 279,000.
Installed HE DPM245,000
29,400 HE full-salvo alpha x 60 / 7.2 s installed reload (Main Battery Mod. 3 = -10%) = 245,000.
Installed AP DPM310,000
37,200 AP full-salvo alpha x 60 / 7.2 s installed reload (Main Battery Mod. 3 = -10%) = 310,000.
Base shells/min90
12 broadside guns x 60 / 8 s base reload = 90.
Installed shells/min100
12 broadside guns x 60 / 7.2 s installed Artillery reload = 100.
Base fires/min9.9
12 HE shells x 60 / 8 s reload x 11% fire chance = 9.9.
Installed fires/min11
12 HE shells x 60 / 7.2 s installed reload x 11% fire chance = 11.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed61 kt
Travel time to max range50.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage88,602
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage44,301
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS314
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (22×3.5×0.9) + (39×3.5×0.85) + (41×3.5×0.9) = 314. 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 index1051
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)180,000
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: 6×2 102 mm (6/side) × 60/3 × 1500 = 180,000. 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
Sonar
Defensive AA Fire
Surveillance Radar
Catapult Fighter
Repair Party
Smoke Generator
