Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp89.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (9948/30·(8−0.5)/1000 + 0.5)·30 = 89.6 m
Max Vert Disp53.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 89.6 × 0.6 = 53.8 m
Med Horiz Disp28.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 89.6 × 0.319 (σ=2) = 28.6 m
Med Vert Disp17.2 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 53.8 × 0.32 (σ=2) = 17.2 m
AP Pen Close235.4 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 × 2500 × 23.5^0.69 × 0.12^-1.07 × 850^1.38 = 235.4 mm. Matches the in-game spec card.
AP Pen Far48.5 mm
Same formula at the ship's max firing range (13.7 km), where the shell has slowed to 270.4 m/s: 1e-7 × 2500 × 23.5^0.69 × 0.12^-1.07 × 270.4^1.38 = 48.5 mm.
HE penetration20 mm
20 mm ≈ 120 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(120 mm caliber / 14.3) = 8 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 alpha4
All 4 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha6,800
1,700 HE damage x 4 broadside guns = 6,800.
AP full-salvo alpha8,600
2,150 AP damage x 4 broadside guns = 8,600.
Base HE DPM177,391
6,800 HE full-salvo alpha x 60 / 2.3 s base reload = 177,391.
Base AP DPM224,348
8,600 AP full-salvo alpha x 60 / 2.3 s base reload = 224,348.
Installed HE DPM194,286
6,800 HE full-salvo alpha x 60 / 2.1 s installed reload (Main Battery Mod. 3 = -10%) = 194,286.
Installed AP DPM245,714
8,600 AP full-salvo alpha x 60 / 2.1 s installed reload (Main Battery Mod. 3 = -10%) = 245,714.
Base shells/min104.3
4 broadside guns x 60 / 2.3 s base reload = 104.3.
Installed shells/min114.3
4 broadside guns x 60 / 2.1 s installed Artillery reload = 114.3.
Base fires/min7.3
4 HE shells x 60 / 2.3 s reload x 7% fire chance = 7.3.
Installed fires/min8
4 HE shells x 60 / 2.1 s installed reload x 7% fire chance = 8.
Torpedoes
Torpedo detectability1.8 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed86 kt
Travel time to max range60.4 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 damage78,400
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage78,400
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS396
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (95×3.5×1) + (18×3.5×1) = 396. 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 index1479
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.
Damage Control Party
Engine Boost
Repair Party
Defensive AA Fire