Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp177 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{15360}{30}\cdot\dfrac{10-1.6}{1000} + 1.6\right)\cdot 30 = 177\,\text{m}$
Max Vert Disp106.2 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 177 \cdot 0.6 = 106.2\,\text{m}$
Med Horiz Disp56.6 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 177 \cdot 0.32\;(\sigma = 2) = 56.6\,\text{m}$
Med Vert Disp33.9 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 106.2 \cdot 0.319\;(\sigma = 2) = 33.9\,\text{m}$
AP Pen Close707.5 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2600 \cdot 525^{0.69} \cdot 0.32^{-1.07} \cdot 830^{1.38} = 707.5\,\text{mm}$. Matches the in-game spec card.
AP Pen Far289.8 mm
Same formula at the ship's max firing range (19.2 km), where the shell has slowed to 434.7 m/s: $P = 10^{-7}\cdot 2600 \cdot 525^{0.69} \cdot 0.32^{-1.07} \cdot 434.7^{1.38} = 289.8\,\text{mm}$.
HE penetration55 mm
In-game data: 55 mm = 320 mm caliber / 5.82 (non-standard HE penetration ratio).
AP overmatch22 mm
floor(320 mm caliber / 14.3) = 22 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius175
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 time22.5 s
180 degrees / 8 deg/s traverse speed = 22.5 s.
HE full-salvo alpha37,600
4,700 HE damage x 8 broadside guns = 37,600.
AP full-salvo alpha77,600
9,700 AP damage x 8 broadside guns = 77,600.
Base HE DPM104,930
37,600 HE full-salvo alpha x 60 / 21.5 s base reload = 104,930.
Base AP DPM216,558
77,600 AP full-salvo alpha x 60 / 21.5 s base reload = 216,558.
Installed HE DPM116,289
37,600 HE full-salvo alpha x 60 / 19.4 s installed reload (Main Battery Mod. 3 = -10%) = 116,289.
Installed AP DPM240,000
77,600 AP full-salvo alpha x 60 / 19.4 s installed reload (Main Battery Mod. 3 = -10%) = 240,000.
Base shells/min22.3
8 broadside guns x 60 / 21.5 s base reload = 22.3.
Installed shells/min24.7
8 broadside guns x 60 / 19.4 s installed Artillery reload = 24.7.
Base fires/min7.81
8 HE shells x 60 / 21.5 s reload x 35% fire chance = 7.81.
Installed fires/min8.66
8 HE shells x 60 / 19.4 s installed reload x 35% fire chance = 8.66.
Torpedoes
Torpedo detectability1.7 km
Estimated torpedo reaction time9.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed72 kt
Travel time to max range42.8 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo3 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage115,398
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 19,233 = 115,398.
Per-side salvo damage57,699
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 3 x 19,233 = 57,699.
AA defense
Close-range AA DPS464
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (71×3.5×0.9) + (30×3.5×0.85) + (48×3.5×0.9) = 464. 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 range4 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1566
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)223,636
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: 3×4 152 mm (6/side) × 60/11 × 1700 = 55,636 + 10×2 90 mm (10/side) × 60/5 × 1400 = 168,000. Assumes every shell hits (real hit rate is lower; the Brawl matchup tool on the Compare page folds in dispersion + target armor).
Max HE alpha1700
Maximum HE damage per shell across secondary HE families. Best on this ship: 1700 from the 152 mm family.
Max HE fire chance8%
Maximum per-shell fire chance across secondary HE families (before target fire resistance is applied). Best on this ship: 8% from the 152 mm family.
Max HE pen38 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: 38 mm from the 152 mm family.
Damage Control Party
Repair Party
Sonar
Defensive AA Fire
Exhaust Smoke Generator
Secondary Battery Reload Booster