Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp118.4 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (12370/30·(8−1.1)/1000 + 1.1)·30 = 118.4 m
Max Vert Disp71 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 118.4 × 0.6 = 71 m
Med Horiz Disp37.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 118.4 × 0.319 (σ=2) = 37.8 m
Med Vert Disp22.7 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 71 × 0.32 (σ=2) = 22.7 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close369.3 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 × 2550 × 90.7^0.69 × 0.19^-1.07 × 844^1.38 = 369.3 mm. Matches the in-game spec card.
AP Pen Far94.1 mm
Same formula at the ship's max firing range (17 km), where the shell has slowed to 313.3 m/s: 1e-7 × 2550 × 90.7^0.69 × 0.19^-1.07 × 313.3^1.38 = 94.1 mm.
HE penetration32 mm
32 mm ≈ 190 mm caliber / 6 (standard HE penetration ratio).
AP overmatch13 mm
floor(190 mm caliber / 14.3) = 13 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 alpha6
Barrels that can bear on one beam (6 of 7); casemate/wing mounts only fire one side.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha19,500
3,250 HE damage x 6 broadside guns = 19,500.
AP full-salvo alpha25,500
4,250 AP damage x 6 broadside guns = 25,500.
Base HE DPM97,500
19,500 HE full-salvo alpha x 60 / 12 s base reload = 97,500.
Base AP DPM127,500
25,500 AP full-salvo alpha x 60 / 12 s base reload = 127,500.
Base shells/min30
6 broadside guns x 60 / 12 s base reload = 30.
Base fires/min4.5
6 HE shells x 60 / 12 s reload x 15% fire chance = 4.5.
Torpedoes
Torpedo detectability1.2 km
Estimated torpedo reaction time7.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed59 kt
Travel time to max range39.1 s
range / (speed kt x 2.6 community game-speed factor).
Tube count4
2 launchers x 2 tubes.
Per-side salvo2 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage58,532
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage29,266
per-side salvo x per-torpedo simulated damage.
AA defense
AA DPS at max range18
Only families that reach 3.5 km contribute at the outer edge of the AA bubble. In-game families: 13 mm Hotchkiss 4x4 -> 21 DPS @ 1.2 km; 40 mm 2-pdr Pom-Pom 4x4 -> 117 DPS @ 2.5 km; 102 mm/45 Mk V (DP) 4x2 -> 18 DPS @ 3.5 km.
Maximum AA range3.5 km
Longest-reaching family on the in-game AA card. Decoded AirDefense aura max range is 2.5 km; dual-purpose mount auras extend it.
AA DPS layered by range18 DPS @ 3.5 km, 135 DPS @ 2.5 km, 156 DPS @ 1.2 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank156
Sum of every family's average DPS, achievable only inside the closest-range family (1.2 km).
AA threat index381
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 range1.2 km
Secondary battery firepower
Secondary DPM (per side)45,000
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: 4×1 102 mm (2/side) × 60/4 × 1500 = 45,000. 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