Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp94.1 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10550/30·(8−0.5)/1000 + 0.5)·30 = 94.1 m
Max Vert Disp56.5 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 94.1 × 0.6 = 56.5 m
Med Horiz Disp30.1 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 94.1 × 0.32 (σ=2) = 30.1 m
Med Vert Disp18 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 56.5 × 0.319 (σ=2) = 18 m
AP Pen Close205 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 × 1754 × 17.5^0.69 × 0.1^-1.07 × 1000^1.38 = 205 mm. Matches the in-game spec card.
AP Pen Far36.4 mm
Same formula at the ship's max firing range (13.2 km), where the shell has slowed to 286 m/s: 1e-7 × 1754 × 17.5^0.69 × 0.1^-1.07 × 286^1.38 = 36.4 mm.
HE penetration20 mm
In-game data: 20 mm = 100 mm caliber / 5 (non-standard HE penetration ratio).
AP overmatch6 mm
floor(100 mm caliber / 14.3) = 6 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius7
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time11.2 s
180 degrees / 16 deg/s traverse speed = 11.2 s.
HE full-salvo alpha12,000
1,500 HE damage x 8 broadside guns = 12,000.
AP full-salvo alpha15,200
1,900 AP damage x 8 broadside guns = 15,200.
Base HE DPM130,909
12,000 HE full-salvo alpha x 60 / 5.5 s base reload = 130,909.
Base AP DPM165,818
15,200 AP full-salvo alpha x 60 / 5.5 s base reload = 165,818.
Base shells/min87.3
8 broadside guns x 60 / 5.5 s base reload = 87.3.
Base fires/min6.98
8 HE shells x 60 / 5.5 s reload x 8% fire chance = 6.98.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time6.3 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 count4
1 launchers x 4 tubes.
Per-side salvo4 torpedoes
4 (centerline launchers train across - full salvo to either side).
Full-salvo damage89,468
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage89,468
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS248
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (39×3.5×1) + (32×3.5×1) = 248. 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 index1038
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
Smoke Generator
Engine Boost
Defensive AA Fire