Main battery formulas
Shell Grouping (σ)1.8
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp153.2 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (10937/30·(10−2.3)/1000 + 2.3)·30 = 153.2 m
Max Vert Disp122.6 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 153.2 × 0.8 = 122.6 m
Med Horiz Disp52.7 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 153.2 × 0.344 (σ=1.8) = 52.7 m
Med Vert Disp42.1 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 122.6 × 0.343 (σ=1.8) = 42.1 m
AP Pen Close267.4 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 × 1373 × 386^0.69 × 0.305^-1.07 × 732^1.38 = 267.4 mm. Matches the in-game spec card.
AP Pen Far85.3 mm
Same formula at the ship's max firing range (13.7 km), where the shell has slowed to 319.9 m/s: 1e-7 × 1373 × 386^0.69 × 0.305^-1.07 × 319.9^1.38 = 85.3 mm.
HE penetration51 mm
51 mm ≈ 305 mm caliber / 6 (standard HE penetration ratio).
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius35
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 alpha4
All 4 barrels bear on the broadside.
Turret turn time40 s
180 degrees / 4.5 deg/s traverse speed = 40 s.
HE full-salvo alpha20,400
5,100 HE damage x 4 broadside guns = 20,400.
AP full-salvo alpha30,800
7,700 AP damage x 4 broadside guns = 30,800.
Base HE DPM55,636
20,400 HE full-salvo alpha x 60 / 22 s base reload = 55,636.
Base AP DPM84,000
30,800 AP full-salvo alpha x 60 / 22 s base reload = 84,000.
Base shells/min10.9
4 broadside guns x 60 / 22 s base reload = 10.9.
Base fires/min3.16
4 HE shells x 60 / 22 s reload x 29% fire chance = 3.16.
Secondary battery firepower
Secondary DPM (per side)214,867
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: 4×1 152 mm (2/side) × 60/13 × 2700 = 24,923 + 10×1 152 mm (5/side) × 60/13 × 2700 = 62,308 + 8×1 76.2 mm (4/side) × 60/5.5 × 1300 = 56,727 + 6×1 76.2 mm (3/side) × 60/5.5 × 1300 = 42,545 + 4×1 76.2 mm (2/side) × 60/5.5 × 1300 = 28,364. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha2700
Maximum HE damage per shell across secondary HE families. Best on this ship: 2700 from the 152 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 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