Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp94.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10652/30·(8−0.5)/1000 + 0.5)·30 = 94.9 m
Max Vert Disp56.9 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 94.9 × 0.6 = 56.9 m
Med Horiz Disp30.3 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 94.9 × 0.319 (σ=2) = 30.3 m
Med Vert Disp18.2 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 56.9 × 0.32 (σ=2) = 18.2 m
AP Pen Close177.9 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 × 1721 × 24^0.69 × 0.12^-1.07 × 900^1.38 = 177.9 mm. Matches the in-game spec card.
AP Pen Far39.3 mm
Same formula at the ship's max firing range (13.3 km), where the shell has slowed to 301.1 m/s: 1e-7 × 1721 × 24^0.69 × 0.12^-1.07 × 301.1^1.38 = 39.3 mm.
HE penetration20 mm
20 mm ≈ 120 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(120 mm caliber / 14.3) = 8 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius8
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 alpha7
All 7 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha11,900
1,700 HE damage x 7 broadside guns = 11,900.
AP full-salvo alpha15,400
2,200 AP damage x 7 broadside guns = 15,400.
Base HE DPM119,000
11,900 HE full-salvo alpha x 60 / 6 s base reload = 119,000.
Base AP DPM154,000
15,400 AP full-salvo alpha x 60 / 6 s base reload = 154,000.
Base shells/min70
7 broadside guns x 60 / 6 s base reload = 70.
Base fires/min5.6
7 HE shells x 60 / 6 s reload x 8% fire chance = 5.6.
Torpedoes
Torpedo detectability1.2 km
Estimated torpedo reaction time6.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed69 kt
Travel time to max range53 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo6 torpedoes
6 (centerline launchers train across - full salvo to either side).
Full-salvo damage90,600
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage90,600
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS113
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (19×3.5×1) + (14×3.5×0.95) = 113. 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 index289
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