Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp139.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15480/30·(8−1.1)/1000 + 1.1)·30 = 139.8 m
Max Vert Disp83.9 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 139.8 × 0.6 = 83.9 m
Med Horiz Disp43.9 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 139.8 × 0.314 (σ=2.05) = 43.9 m
Med Vert Disp26.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 83.9 × 0.313 (σ=2.05) = 26.3 m
AP Pen Close237.4 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 × 2000 × 59^0.69 × 0.152^-1.07 × 762^1.38 = 237.4 mm. Matches the in-game spec card.
AP Pen Far97.9 mm
Same formula at the ship's max firing range (19.4 km), where the shell has slowed to 401 m/s: 1e-7 × 2000 × 59^0.69 × 0.152^-1.07 × 401^1.38 = 97.9 mm.
HE penetration25 mm
floor(152 mm caliber / 6): standard HE penetration.
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 time7.2 s
180 degrees / 25 deg/s traverse speed = 7.2 s.
AP full-salvo alpha32,000
3,200 AP damage x 10 broadside guns = 32,000.
Base AP DPM320,000
32,000 AP full-salvo alpha x 60 / 6 s base reload = 320,000.
Installed AP DPM355,556
32,000 AP full-salvo alpha x 60 / 5.4 s installed reload (Main Battery Mod. 3 = -10%) = 355,556.
Base shells/min100
10 broadside guns x 60 / 6 s base reload = 100.
Installed shells/min111.1
10 broadside guns x 60 / 5.4 s installed Artillery reload = 111.1.
AA defense
Close-range AA DPS614
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (141×3.5×0.9) + (36×3.5×0.85) + (20×3.5×0.9) = 614. 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 index2813
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
Repair Party
Defensive AA Fire
Main Battery Reload Booster
Catapult Fighter