Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp95.2 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10700/30·(8−0.5)/1000 + 0.5)·30 = 95.2 m
Max Vert Disp57.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 95.2 × 0.6 = 57.2 m
Med Horiz Disp30.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 95.2 × 0.319 (σ=2) = 30.4 m
Med Vert Disp18.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 57.2 × 0.32 (σ=2) = 18.3 m
AP Pen Close244 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 × 1900 × 33.4^0.69 × 0.13^-1.07 × 950^1.38 = 244 mm. Matches the in-game spec card.
AP Pen Far70.6 mm
Same formula at the ship's max firing range (13.4 km), where the shell has slowed to 386.7 m/s: 1e-7 × 1900 × 33.4^0.69 × 0.13^-1.07 × 386.7^1.38 = 70.6 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 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 alpha4
All 4 barrels bear on the broadside.
Turret turn time10 s
180 degrees / 18 deg/s traverse speed = 10 s.
HE full-salvo alpha5,200
1,300 HE damage x 4 broadside guns = 5,200.
AP full-salvo alpha8,000
2,000 AP damage x 4 broadside guns = 8,000.
Base HE DPM183,529
5,200 HE full-salvo alpha x 60 / 1.7 s base reload = 183,529.
Base AP DPM282,353
8,000 AP full-salvo alpha x 60 / 1.7 s base reload = 282,353.
Installed HE DPM208,000
5,200 HE full-salvo alpha x 60 / 1.5 s installed reload (Main Battery Mod. 3 = -10%) = 208,000.
Installed AP DPM320,000
8,000 AP full-salvo alpha x 60 / 1.5 s installed reload (Main Battery Mod. 3 = -10%) = 320,000.
Base shells/min141.2
4 broadside guns x 60 / 1.7 s base reload = 141.2.
Installed shells/min160
4 broadside guns x 60 / 1.5 s installed Artillery reload = 160.
Base fires/min7.06
4 HE shells x 60 / 1.7 s reload x 5% fire chance = 7.06.
Installed fires/min8
4 HE shells x 60 / 1.5 s installed reload x 5% fire chance = 8.
Torpedoes
Torpedo detectability0.8 km
Estimated torpedo reaction time4.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range65 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 damage167,330
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage167,330
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS239
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (40×3.5×1) + (16×3.5×0.95) + (13×3.5×1) = 239. 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 range5.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index930
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 range2.5 km
Damage Control Party
Smoke Generator
Sonar
Repair Party