Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp95.6 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10742/30·(8−0.5)/1000 + 0.5)·30 = 95.6 m
Max Vert Disp57.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 95.6 × 0.6 = 57.3 m
Med Horiz Disp30.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 95.6 × 0.319 (σ=2) = 30.5 m
Med Vert Disp18.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 57.3 × 0.319 (σ=2) = 18.3 m
AP Pen Close219 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 × 2266 × 23^0.69 × 0.127^-1.07 × 915^1.38 = 219 mm. Matches the in-game spec card.
AP Pen Far37.5 mm
Same formula at the ship's max firing range (13.4 km), where the shell has slowed to 254.5 m/s: 1e-7 × 2266 × 23^0.69 × 0.127^-1.07 × 254.5^1.38 = 37.5 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 Radius12
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 time10 s
180 degrees / 18 deg/s traverse speed = 10 s.
HE full-salvo alpha12,900
2,150 HE damage x 6 broadside guns = 12,900.
AP full-salvo alpha13,200
2,200 AP damage x 6 broadside guns = 13,200.
Base HE DPM193,500
12,900 HE full-salvo alpha x 60 / 4 s base reload = 193,500.
Base AP DPM198,000
13,200 AP full-salvo alpha x 60 / 4 s base reload = 198,000.
Installed HE DPM215,000
12,900 HE full-salvo alpha x 60 / 3.6 s installed reload (Main Battery Mod. 3 = -10%) = 215,000.
Installed AP DPM220,000
13,200 AP full-salvo alpha x 60 / 3.6 s installed reload (Main Battery Mod. 3 = -10%) = 220,000.
Base shells/min90
6 broadside guns x 60 / 4 s base reload = 90.
Installed shells/min100
6 broadside guns x 60 / 3.6 s installed Artillery reload = 100.
Base fires/min8.1
6 HE shells x 60 / 4 s reload x 9% fire chance = 8.1.
Installed fires/min9
6 HE shells x 60 / 3.6 s installed reload x 9% fire chance = 9.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time9.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed67 kt
Travel time to max range68.9 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 damage222,670
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage222,670
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS212
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (33×3.5×1) + (10×3.5×0.95) + (18×3.5×1) = 212. 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 index822
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 range3.1 km
Damage Control Party
Smoke Generator
Torpedo Reload Booster
Engine Boost