Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp140 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15501/30·(8−1.1)/1000 + 1.1)·30 = 140 m
Max Vert Disp84 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 140 × 0.6 = 84 m
Med Horiz Disp44.7 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 140 × 0.319 (σ=2) = 44.7 m
Med Vert Disp26.8 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 84 × 0.319 (σ=2) = 26.8 m
AP Pen Close339.7 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 × 2216 × 55^0.69 × 0.152^-1.07 × 950^1.38 = 339.7 mm. Matches the in-game spec card.
AP Pen Far81.3 mm
Same formula at the ship's max firing range (19.4 km), where the shell has slowed to 337 m/s: 1e-7 × 2216 × 55^0.69 × 0.152^-1.07 × 337^1.38 = 81.3 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 Radius15
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 time13.8 s
180 degrees / 13 deg/s traverse speed = 13.8 s.
HE full-salvo alpha17,600
2,200 HE damage x 8 broadside guns = 17,600.
AP full-salvo alpha26,400
3,300 AP damage x 8 broadside guns = 26,400.
Base HE DPM182,069
17,600 HE full-salvo alpha x 60 / 5.8 s base reload = 182,069.
Base AP DPM273,103
26,400 AP full-salvo alpha x 60 / 5.8 s base reload = 273,103.
Installed HE DPM203,077
17,600 HE full-salvo alpha x 60 / 5.2 s installed reload (Main Battery Mod. 3 = -10%) = 203,077.
Installed AP DPM304,615
26,400 AP full-salvo alpha x 60 / 5.2 s installed reload (Main Battery Mod. 3 = -10%) = 304,615.
Base shells/min82.8
8 broadside guns x 60 / 5.8 s base reload = 82.8.
Installed shells/min92.3
8 broadside guns x 60 / 5.2 s installed Artillery reload = 92.3.
Base fires/min9.93
8 HE shells x 60 / 5.8 s reload x 12% fire chance = 9.93.
Installed fires/min11.08
8 HE shells x 60 / 5.2 s installed reload x 12% fire chance = 11.08.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time6.5 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range47.3 s
range / (speed kt x 2.6 community game-speed factor).
Tube count10
2 launchers x 5 tubes.
Per-side salvo5 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage140,000
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage70,000
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS299
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (78×3.5×0.9) + (17×3.5×0.9) = 299. 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 index1251
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
Sonar
Defensive AA Fire
Surveillance Radar
Repair Party