Main battery formulas
Shell Grouping (σ)1.85
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp138.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15314/30·(8−1.1)/1000 + 1.1)·30 = 138.7 m
Max Vert Disp83.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 138.7 × 0.6 = 83.2 m
Med Horiz Disp46.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 138.7 × 0.337 (σ=1.85) = 46.8 m
Med Vert Disp28.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 83.2 × 0.338 (σ=1.85) = 28.1 m
AP Pen Close355.3 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 × 2429 × 55.87^0.69 × 0.155^-1.07 × 925^1.38 = 355.3 mm. Matches the in-game spec card.
AP Pen Far82 mm
Same formula at the ship's max firing range (19.1 km), where the shell has slowed to 319.8 m/s: 1e-7 × 2429 × 55.87^0.69 × 0.155^-1.07 × 319.8^1.38 = 82 mm.
HE penetration26 mm
26 mm ≈ 155 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(155 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius16
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 alpha15
All 15 barrels bear on the broadside.
Turret turn time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha40,500
2,700 HE damage x 15 broadside guns = 40,500.
AP full-salvo alpha49,500
3,300 AP damage x 15 broadside guns = 49,500.
Base HE DPM243,000
40,500 HE full-salvo alpha x 60 / 10 s base reload = 243,000.
Base AP DPM297,000
49,500 AP full-salvo alpha x 60 / 10 s base reload = 297,000.
Installed HE DPM270,000
40,500 HE full-salvo alpha x 60 / 9 s installed reload (Main Battery Mod. 3 = -10%) = 270,000.
Installed AP DPM330,000
49,500 AP full-salvo alpha x 60 / 9 s installed reload (Main Battery Mod. 3 = -10%) = 330,000.
Base shells/min90
15 broadside guns x 60 / 10 s base reload = 90.
Installed shells/min100
15 broadside guns x 60 / 9 s installed Artillery reload = 100.
Base fires/min9.9
15 HE shells x 60 / 10 s reload x 11% fire chance = 9.9.
Installed fires/min11
15 HE shells x 60 / 9 s installed reload x 11% fire chance = 11.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time11.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed56 kt
Travel time to max range75.6 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 damage254,928
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage127,464
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS125
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (14×3.5×0.9) + (6×3.5×0.85) + (20×3.5×0.9) = 125. 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 index473
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)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