Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp191.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (17100/30·(10−1.6)/1000 + 1.6)·30 = 191.6 m
Max Vert Disp115 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 191.6 × 0.6 = 115 m
Med Horiz Disp61.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 191.6 × 0.319 (σ=2) = 61.2 m
Med Vert Disp36.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 115 × 0.319 (σ=2) = 36.7 m
AP Pen Close903 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 × 2053^0.69 × 0.508^-1.07 × 751^1.38 = 903 mm. Matches the in-game spec card.
AP Pen Far498.1 mm
Same formula at the ship's max firing range (21.4 km), where the shell has slowed to 488 m/s: 1e-7 × 2438 × 2053^0.69 × 0.508^-1.07 × 488^1.38 = 498.1 mm.
HE penetration85 mm
85 mm ≈ 508 mm caliber / 6 (standard HE penetration ratio).
AP overmatch35 mm
floor(508 mm caliber / 14.3) = 35 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius550
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 time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha44,400
7,400 HE damage x 6 broadside guns = 44,400.
AP full-salvo alpha117,000
19,500 AP damage x 6 broadside guns = 117,000.
Base HE DPM88,800
44,400 HE full-salvo alpha x 60 / 30 s base reload = 88,800.
Base AP DPM234,000
117,000 AP full-salvo alpha x 60 / 30 s base reload = 234,000.
Installed HE DPM98,667
44,400 HE full-salvo alpha x 60 / 27 s installed reload (Main Battery Mod. 3 = -10%) = 98,667.
Installed AP DPM260,000
117,000 AP full-salvo alpha x 60 / 27 s installed reload (Main Battery Mod. 3 = -10%) = 260,000.
Base shells/min12
6 broadside guns x 60 / 30 s base reload = 12.
Installed shells/min13.3
6 broadside guns x 60 / 27 s installed Artillery reload = 13.3.
Base fires/min6.6
6 HE shells x 60 / 30 s reload x 55% fire chance = 6.6.
Installed fires/min7.33
6 HE shells x 60 / 27 s installed reload x 55% fire chance = 7.33.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed62 kt
Travel time to max range62 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage125,336
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 DPS745
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (36×3.5×0.75) + (141×3.5×0.75) + (79×3.5×0.7) + (33×3.5×0.75) = 745. 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 index2352
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)330,000
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: 11×2 102 mm (11/side) × 60/3 × 1500 = 330,000. 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
Repair Party
Engine Boost
Sonar
Catapult Fighter
Observation Seaplane
Secondary Battery Booster