Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp215.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15552/30·(12−2)/1000 + 2)·30 = 215.5 m
Max Vert Disp129.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 215.5 × 0.6 = 129.3 m
Med Horiz Disp74.1 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 215.5 × 0.344 (σ=1.8) = 74.1 m
Med Vert Disp44.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 129.3 × 0.344 (σ=1.8) = 44.5 m
AP Pen Close730.3 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 × 2545 × 680.4^0.69 × 0.356^-1.07 × 823^1.38 = 730.3 mm. Matches the in-game spec card.
AP Pen Far358.4 mm
Same formula at the ship's max firing range (19.4 km), where the shell has slowed to 491.4 m/s: 1e-7 × 2545 × 680.4^0.69 × 0.356^-1.07 × 491.4^1.38 = 358.4 mm.
HE penetration59 mm
59 mm ≈ 356 mm caliber / 6 (standard HE penetration ratio).
AP overmatch24 mm
floor(356 mm caliber / 14.3) = 24 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius90
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 time60 s
180 degrees / 3 deg/s traverse speed = 60 s.
HE full-salvo alpha60,000
5,000 HE damage x 12 broadside guns = 60,000.
AP full-salvo alpha126,000
10,500 AP damage x 12 broadside guns = 126,000.
Base HE DPM120,000
60,000 HE full-salvo alpha x 60 / 30 s base reload = 120,000.
Base AP DPM252,000
126,000 AP full-salvo alpha x 60 / 30 s base reload = 252,000.
Base shells/min24
12 broadside guns x 60 / 30 s base reload = 24.
Base fires/min7.2
12 HE shells x 60 / 30 s reload x 30% fire chance = 7.2.
AA defense
AA DPS at max range105
Only families that reach 5 km contribute at the outer edge of the AA bubble. In-game families: 127mm 8x2 -> 105 DPS @ 5 km; 40mm 14x4 -> 273 DPS @ 3.5 km; 20mm 41x2 -> 343 DPS @ 2 km.
Maximum AA range5 km
Longest-reaching family on the in-game AA card. Decoded AirDefense aura max range is 3.5 km; dual-purpose mount auras extend it.
AA DPS layered by range105 DPS @ 5 km, 378 DPS @ 3.5 km, 721 DPS @ 2 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank721
Sum of every family's average DPS, achievable only inside the closest-range family (2 km).
AA threat index2166
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)144,000
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: 8×2 127 mm (8/side) × 60/6 × 1800 = 144,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1800
Maximum HE damage per shell across secondary HE families. Best on this ship: 1800 from the 127 mm family.
Max HE fire chance5%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 5% 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
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster