Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp137.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15193/30·(8−1.1)/1000 + 1.1)·30 = 137.8 m
Max Vert Disp82.7 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 137.8 × 0.6 = 82.7 m
Med Horiz Disp43.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 137.8 × 0.313 (σ=2.05) = 43.2 m
Med Vert Disp25.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 82.7 × 0.313 (σ=2.05) = 25.9 m
AP Pen Close320 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 × 2609 × 50.8^0.69 × 0.152^-1.07 × 841^1.38 = 320 mm. Matches the in-game spec card.
AP Pen Far78.6 mm
Same formula at the ship's max firing range (19 km), where the shell has slowed to 304.1 m/s: 1e-7 × 2609 × 50.8^0.69 × 0.152^-1.07 × 304.1^1.38 = 78.6 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 alpha16
All 16 barrels bear on the broadside.
Turret turn time22.5 s
180 degrees / 8 deg/s traverse speed = 22.5 s.
AP full-salvo alpha49,600
3,100 AP damage x 16 broadside guns = 49,600.
Base AP DPM457,846
49,600 AP full-salvo alpha x 60 / 6.5 s base reload = 457,846.
Installed AP DPM504,407
49,600 AP full-salvo alpha x 60 / 5.9 s installed reload (Main Battery Mod. 3 = -10%) = 504,407.
Base shells/min147.7
16 broadside guns x 60 / 6.5 s base reload = 147.7.
Installed shells/min162.7
16 broadside guns x 60 / 5.9 s installed Artillery reload = 162.7.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time8.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed62 kt
Travel time to max range62 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage125,336
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage62,668
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS436
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (40×3.5×0.9) + (36×3.5×0.9) + (45×3.5×0.85) + (20×3.5×0.9) = 436. 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 index1295
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
Secondary battery firepower
Secondary DPM (per side)180,000
Sum across all secondary families of (per-side barrels × 60 / reload_s × alpha), where per-side barrels = mounts × barrels-per-mount / 2 (the guns that bear on one broadside target). Per-family: 6×2 102 mm (6/side) × 60/3 × 1500 = 180,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1500
Maximum HE damage per shell across secondary HE families. Best on this ship: 1500 from the 102 mm family.
Max HE fire chance6%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 6% from the 102 mm family.
Max HE pen17 mm
Maximum HE armor penetration across secondary HE families (caliber × 1/6 for most nations; 1/4 for German/UK BBs). Shells whose pen falls under a plate's armor thickness shatter for 0 hull damage though fire chance still applies. Best on this ship: 17 mm from the 102 mm family.
Damage Control Party
Repair Party
Sonar
Defensive AA Fire
Smoke Generator
Surveillance Radar
