Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp95.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10783/30·(8−0.5)/1000 + 0.5)·30 = 95.9 m
Max Vert Disp57.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 95.9 × 0.6 = 57.5 m
Med Horiz Disp30.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 95.9 × 0.319 (σ=2) = 30.6 m
Med Vert Disp18.4 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 57.5 × 0.32 (σ=2) = 18.4 m
AP Pen Close184.1 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 × 1615 × 33.5^0.69 × 0.13^-1.07 × 870^1.38 = 184.1 mm. Matches the in-game spec card.
AP Pen Far55.9 mm
Same formula at the ship's max firing range (13.5 km), where the shell has slowed to 366.6 m/s: 1e-7 × 1615 × 33.5^0.69 × 0.13^-1.07 × 366.6^1.38 = 55.9 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 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 time18.6 s
180 degrees / 9.7 deg/s traverse speed = 18.6 s.
HE full-salvo alpha7,600
1,900 HE damage x 4 broadside guns = 7,600.
AP full-salvo alpha10,000
2,500 AP damage x 4 broadside guns = 10,000.
Base HE DPM91,200
7,600 HE full-salvo alpha x 60 / 5 s base reload = 91,200.
Base AP DPM120,000
10,000 AP full-salvo alpha x 60 / 5 s base reload = 120,000.
Base shells/min48
4 broadside guns x 60 / 5 s base reload = 48.
Base fires/min3.84
4 HE shells x 60 / 5 s reload x 8% fire chance = 3.84.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time7.6 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed56 kt
Travel time to max range68.6 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 damage140,000
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage140,000
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS148
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (2×3.5×1) + (27×3.5×1) + (14×3.5×0.95) = 148. 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 range3.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index383
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 range1.2 km
Damage Control Party
Smoke Generator
Engine Boost
