Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp139.5 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15440/30·(8−1.1)/1000 + 1.1)·30 = 139.5 m
Max Vert Disp83.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 139.5 × 0.6 = 83.7 m
Med Horiz Disp43.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 139.5 × 0.314 (σ=2.05) = 43.8 m
Med Vert Disp26.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 83.7 × 0.314 (σ=2.05) = 26.3 m
AP Pen Close323.8 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 × 59.85^0.69 × 0.152^-1.07 × 768^1.38 = 323.8 mm. Matches the in-game spec card.
AP Pen Far94.3 mm
Same formula at the ship's max firing range (19.3 km), where the shell has slowed to 314.2 m/s: 1e-7 × 2672 × 59.85^0.69 × 0.152^-1.07 × 314.2^1.38 = 94.3 mm.
HE penetration30 mm
In-game data: 30 mm = 152 mm caliber / 5.07 (non-standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius20
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time4.7 s
180 degrees / 38 deg/s traverse speed = 4.7 s.
HE full-salvo alpha21,500
2,150 HE damage x 10 broadside guns = 21,500.
AP full-salvo alpha32,000
3,200 AP damage x 10 broadside guns = 32,000.
Base HE DPM322,500
21,500 HE full-salvo alpha x 60 / 4 s base reload = 322,500.
Base AP DPM480,000
32,000 AP full-salvo alpha x 60 / 4 s base reload = 480,000.
Installed HE DPM358,333
21,500 HE full-salvo alpha x 60 / 3.6 s installed reload (Main Battery Mod. 3 = -10%) = 358,333.
Installed AP DPM533,333
32,000 AP full-salvo alpha x 60 / 3.6 s installed reload (Main Battery Mod. 3 = -10%) = 533,333.
Base shells/min150
10 broadside guns x 60 / 4 s base reload = 150.
Installed shells/min166.7
10 broadside guns x 60 / 3.6 s installed Artillery reload = 166.7.
Base fires/min13.5
10 HE shells x 60 / 4 s reload x 9% fire chance = 13.5.
Installed fires/min15
10 HE shells x 60 / 3.6 s installed reload x 9% fire chance = 15.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range79.9 s
range / (speed kt x 2.6 community game-speed factor).
Tube count20
4 launchers x 5 tubes.
Per-side salvo10 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage313,340
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage156,670
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS639
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (24×3.5×0.9) + (142×3.5×0.9) + (37×3.5×0.9) = 639. 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 index3200
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
Sonar
Defensive AA Fire
Surveillance Radar
Smoke Generator