Main battery formulas
Shell Grouping (σ)1.6
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp158.7 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13180/30·(10−1.6)/1000 + 1.6)·30 = 158.7 m
Max Vert Disp95.2 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 158.7 × 0.6 = 95.2 m
Med Horiz Disp58.6 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 158.7 × 0.369 (σ=1.6) = 58.6 m
Med Vert Disp35.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 95.2 × 0.369 (σ=1.6) = 35.1 m
Dispersion familyBC Disp.
Battlecruiser dispersion. The standard mid-tier reference family that Georgia, Stalingrad, and Siegfried are compared against.
AP Pen Close531 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 × 2145 × 567^0.69 × 0.343^-1.07 × 787^1.38 = 531 mm. Matches the in-game spec card.
AP Pen Far212.4 mm
Same formula at the ship's max firing range (18.1 km), where the shell has slowed to 405.1 m/s: 1e-7 × 2145 × 567^0.69 × 0.343^-1.07 × 405.1^1.38 = 212.4 mm.
HE penetration57 mm
57 mm ≈ 343 mm caliber / 6 (standard HE penetration ratio).
AP overmatch23 mm
floor(343 mm caliber / 14.3) = 23 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius55
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 time32.7 s
180 degrees / 5.5 deg/s traverse speed = 32.7 s.
HE full-salvo alpha40,400
5,050 HE damage x 8 broadside guns = 40,400.
AP full-salvo alpha75,600
9,450 AP damage x 8 broadside guns = 75,600.
Base HE DPM73,455
40,400 HE full-salvo alpha x 60 / 33 s base reload = 73,455.
Base AP DPM137,455
75,600 AP full-salvo alpha x 60 / 33 s base reload = 137,455.
Base shells/min14.5
8 broadside guns x 60 / 33 s base reload = 14.5.
Base fires/min5.67
8 HE shells x 60 / 33 s reload x 39% fire chance = 5.67.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed53 kt
Travel time to max range43.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
4 launchers x 1 tubes.
Per-side salvo2 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage36,400
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage18,200
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS129
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (40×3.5×0.75) + (9×3.5×0.75) = 129. 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 range3 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index333
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.
Secondary battery firepower
Secondary DPM (per side)158,400
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: 12×1 152 mm (6/side) × 60/5 × 2200 = 158,400. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2200
Maximum HE damage per shell across secondary HE families. Best on this ship: 2200 from the 152 mm family.
Max HE fire chance12%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 12% from the 152 mm family.
Max HE pen25 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: 25 mm from the 152 mm family.
Damage Control Party
Repair Party
Engine Boost
Secondary Battery Booster