Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp100.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (11388/30·(8−0.5)/1000 + 0.5)·30 = 100.4 m
Max Vert Disp60.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 100.4 × 0.6 = 60.2 m
Med Horiz Disp32.1 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 100.4 × 0.32 (σ=2) = 32.1 m
Med Vert Disp19.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 60.2 × 0.321 (σ=2) = 19.3 m
AP Pen Close199.9 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 × 1900 × 32.7^0.69 × 0.139^-1.07 × 875^1.38 = 199.9 mm. Matches the in-game spec card.
AP Pen Far47.8 mm
Same formula at the ship's max firing range (14.2 km), where the shell has slowed to 310.1 m/s: 1e-7 × 1900 × 32.7^0.69 × 0.139^-1.07 × 310.1^1.38 = 47.8 mm.
HE penetration23 mm
23 mm ≈ 139 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(139 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 alpha8
All 8 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha15,600
1,950 HE damage x 8 broadside guns = 15,600.
AP full-salvo alpha24,000
3,000 AP damage x 8 broadside guns = 24,000.
Base HE DPM87,477
15,600 HE full-salvo alpha x 60 / 10.7 s base reload = 87,477.
Base AP DPM134,579
24,000 AP full-salvo alpha x 60 / 10.7 s base reload = 134,579.
Installed HE DPM97,500
15,600 HE full-salvo alpha x 60 / 9.6 s installed reload (Main Battery Mod. 3 = -10%) = 97,500.
Installed AP DPM150,000
24,000 AP full-salvo alpha x 60 / 9.6 s installed reload (Main Battery Mod. 3 = -10%) = 150,000.
Base shells/min44.9
8 broadside guns x 60 / 10.7 s base reload = 44.9.
Installed shells/min50
8 broadside guns x 60 / 9.6 s installed Artillery reload = 50.
Base fires/min4.04
8 HE shells x 60 / 10.7 s reload x 9% fire chance = 4.04.
Installed fires/min4.5
8 HE shells x 60 / 9.6 s installed reload x 9% fire chance = 4.5.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time9.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed67 kt
Travel time to max range34.4 s
range / (speed kt x 2.6 community game-speed factor).
Tube count12
3 launchers x 4 tubes.
Per-side salvo12 torpedoes
12 (centerline launchers train across - full salvo to either side).
Full-salvo damage267,204
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage267,204
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS136
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (11×3.5×0.95) + (30×3.5×0.95) = 136. 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 range2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index243
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 km
Damage Control Party
Smoke Generator
Exhaust Smoke Generator
Engine Boost
Defensive AA Fire