Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp87.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (9675/30·(8−0.5)/1000 + 0.5)·30 = 87.6 m
Max Vert Disp52.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 87.6 × 0.6 = 52.5 m
Med Horiz Disp28 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 87.6 × 0.32 (σ=2) = 28 m
Med Vert Disp16.8 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 52.5 × 0.32 (σ=2) = 16.8 m
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close220 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 × 1933 × 45.3^0.69 × 0.15^-1.07 × 835^1.38 = 220 mm. Matches the in-game spec card.
AP Pen Far47.2 mm
Same formula at the ship's max firing range (13.3 km), where the shell has slowed to 273.8 m/s: 1e-7 × 1933 × 45.3^0.69 × 0.15^-1.07 × 273.8^1.38 = 47.2 mm.
HE penetration25 mm
In-game data: 25 mm = 128 mm caliber / 5.12 (non-standard HE penetration ratio).
AP overmatch8 mm
floor(128 mm caliber / 14.3) = 8 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 alpha4
All 4 barrels bear on the broadside.
Turret turn time22.5 s
180 degrees / 8 deg/s traverse speed = 22.5 s.
HE full-salvo alpha8,800
2,200 HE damage x 4 broadside guns = 8,800.
AP full-salvo alpha14,800
3,700 AP damage x 4 broadside guns = 14,800.
Base HE DPM85,161 Δ
8,800 HE full-salvo alpha x 60 / 6.2 s base reload = 85,161
Base AP DPM143,226 Δ
14,800 AP full-salvo alpha x 60 / 6.2 s base reload = 143,226
Installed HE DPM94,624 Δ
8,800 HE full-salvo alpha x 60 / 5.58 s installed reload (Main Battery Mod. 3 = -10%) = 94,624
Installed AP DPM159,140 Δ
14,800 AP full-salvo alpha x 60 / 5.58 s installed reload (Main Battery Mod. 3 = -10%) = 159,140
Base shells/min39 Δ
4 broadside guns x 60 / 6.2 s base reload = 39
Installed shells/min43.03 Δ
4 broadside guns x 60 / 5.58 s installed Artillery reload = 43.03
Base fires/min4.65 Δ
4 HE shells x 60 / 6.2 s reload x 12% fire chance = 4.65
Installed fires/min5 Δ
4 HE shells x 60 / 5.58 s installed reload x 12% fire chance = 5
Torpedoes
Torpedo detectability1.2 km Δ
Estimated torpedo reaction time8.2 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed66 kt
Travel time to max range55.4 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo8 torpedoes
8 (centerline launchers train across - full salvo to either side).
Full-salvo damage107,200
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage107,200
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS191
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (29×3.5×1) + (27×3.5×0.95) = 191. 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 index535
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
Damage Control Party
Smoke Generator
Engine Boost
Sonar