Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp88.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (9837/30·(8−0.5)/1000 + 0.5)·30 = 88.8 m
Max Vert Disp53.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 88.8 × 0.6 = 53.3 m
Med Horiz Disp28.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 88.8 × 0.32 (σ=2) = 28.4 m
Med Vert Disp17 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 53.3 × 0.319 (σ=2) = 17 m
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close184.1 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 × 1615 × 33.5^0.69 × 0.13^-1.07 × 870^1.38 = 184.1 mm. Matches the in-game spec card.
AP Pen Far55.7 mm
Same formula at the ship's max firing range (13.5 km), where the shell has slowed to 365.8 m/s: 1e-7 × 1615 × 33.5^0.69 × 0.13^-1.07 × 365.8^1.38 = 55.7 mm.
HE penetration22 mm
22 mm ≈ 130 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(130 mm caliber / 14.3) = 9 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius9
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 time18.6 s
180 degrees / 9.7 deg/s traverse speed = 18.6 s.
HE full-salvo alpha11,400
1,900 HE damage x 6 broadside guns = 11,400.
AP full-salvo alpha15,000
2,500 AP damage x 6 broadside guns = 15,000.
Base HE DPM91,200
11,400 HE full-salvo alpha x 60 / 7.5 s base reload = 91,200.
Base AP DPM120,000
15,000 AP full-salvo alpha x 60 / 7.5 s base reload = 120,000.
Base shells/min48
6 broadside guns x 60 / 7.5 s base reload = 48.
Base fires/min3.84
6 HE shells x 60 / 7.5 s reload x 8% fire chance = 3.84.
Torpedoes
Torpedo detectability1.4 km
Estimated torpedo reaction time8.3 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range47.6 s
range / (speed kt x 2.6 community game-speed factor).
Tube count10
2 launchers x 5 tubes.
Per-side salvo10 torpedoes
10 (centerline launchers train across - full salvo to either side).
Full-salvo damage140,000
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage140,000
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS147
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (16×3.5×1) + (16×3.5×1) + (6×3.5×1) + (2×3.5×1) + (2×3.5×1) = 147. 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 range3.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index475
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)18,000
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: 1×2 85 mm (1/side) × 60/4 × 1200 = 18,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1200
Maximum HE damage per shell across secondary HE families. Best on this ship: 1200 from the 85 mm family.
Max HE fire chance4%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 4% from the 85 mm family.
Max HE pen14 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: 14 mm from the 85 mm family.
Damage Control Party
Repair Party
Engine Boost
Smoke Generator