Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp66.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (14678/30·(4−0.5)/1000 + 0.5)·30 = 66.4 m
Max Vert Disp39.8 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 66.4 × 0.6 = 39.8 m
Med Horiz Disp21.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 66.4 × 0.319 (σ=2) = 21.2 m
Med Vert Disp12.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 39.8 × 0.319 (σ=2) = 12.7 m
AP Pen Close320 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 × 2672 × 58.85^0.69 × 0.152^-1.07 × 768^1.38 = 320 mm. Matches the in-game spec card.
AP Pen Far92.1 mm
Same formula at the ship's max firing range (18.3 km), where the shell has slowed to 311.4 m/s: 1e-7 × 2672 × 58.85^0.69 × 0.152^-1.07 × 311.4^1.38 = 92.1 mm.
HE penetration25 mm
floor(152 mm caliber / 6): standard HE penetration.
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 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 time4.7 s
180 degrees / 38 deg/s traverse speed = 4.7 s.
AP full-salvo alpha12,800
3,200 AP damage x 4 broadside guns = 12,800.
Base AP DPM240,000
12,800 AP full-salvo alpha x 60 / 3.2 s base reload = 240,000.
Base shells/min75
4 broadside guns x 60 / 3.2 s base reload = 75.
AA defense
Close-range AA DPS243
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (60×3.5×0.9) + (17×3.5×0.9) = 243. 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 range6 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1266
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
Repair Party
Smoke Generator
Surveillance Radar
Defensive AA Fire
