Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp96.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10860/30·(8−0.5)/1000 + 0.5)·30 = 96.4 m
Max Vert Disp57.9 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 96.4 × 0.6 = 57.9 m
Med Horiz Disp30.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 96.4 × 0.32 (σ=2) = 30.8 m
Med Vert Disp18.5 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 57.9 × 0.32 (σ=2) = 18.5 m
AP Pen Close218 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 × 2598 × 25^0.69 × 0.127^-1.07 × 792^1.38 = 218 mm. Matches the in-game spec card.
AP Pen Far44.1 mm
Same formula at the ship's max firing range (13.6 km), where the shell has slowed to 249 m/s: 1e-7 × 2598 × 25^0.69 × 0.127^-1.07 × 249^1.38 = 44.1 mm.
HE penetration21 mm
21 mm ≈ 127 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(127 mm caliber / 14.3) = 8 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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 time5.3 s
180 degrees / 34 deg/s traverse speed = 5.3 s.
HE full-salvo alpha8,000
2,000 HE damage x 4 broadside guns = 8,000.
AP full-salvo alpha9,200
2,300 AP damage x 4 broadside guns = 9,200.
Base HE DPM218,182
8,000 HE full-salvo alpha x 60 / 2.2 s base reload = 218,182.
Base AP DPM250,909
9,200 AP full-salvo alpha x 60 / 2.2 s base reload = 250,909.
Installed HE DPM240,000
8,000 HE full-salvo alpha x 60 / 2 s installed reload (Main Battery Mod. 3 = -10%) = 240,000.
Installed AP DPM276,000
9,200 AP full-salvo alpha x 60 / 2 s installed reload (Main Battery Mod. 3 = -10%) = 276,000.
Base shells/min109.1
4 broadside guns x 60 / 2.2 s base reload = 109.1.
Installed shells/min120
4 broadside guns x 60 / 2 s installed Artillery reload = 120.
Base fires/min5.45
4 HE shells x 60 / 2.2 s reload x 5% fire chance = 5.45.
Installed fires/min6
4 HE shells x 60 / 2 s installed reload x 5% fire chance = 6.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time6.9 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed72 kt
Travel time to max range56.1 s
range / (speed kt x 2.6 community game-speed factor).
Tube count5
1 launchers x 5 tubes.
Per-side salvo5 torpedoes
5 (centerline launchers train across - full salvo to either side).
Full-salvo damage89,165
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage89,165
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS192
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (37×3.5×1) + (18×3.5×1) = 192. 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 index833
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
Smoke Generator
Engine Boost
Defensive AA Fire
