Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp79.4 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{8587}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 79.4\,\text{m}$
Max Vert Disp47.6 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 79.4 \cdot 0.6 = 47.6\,\text{m}$
Med Horiz Disp25.4 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 79.4 \cdot 0.32\;(\sigma = 2) = 25.4\,\text{m}$
Med Vert Disp15.2 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 47.6 \cdot 0.319\;(\sigma = 2) = 15.2\,\text{m}$
AP Pen Close140.3 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2480 \cdot 5.9^{0.69} \cdot 0.076^{-1.07} \cdot 823^{1.38} = 140.3\,\text{mm}$. Matches the in-game spec card.
AP Pen Far17.8 mm
Same formula at the ship's max firing range (9.5 km), where the shell has slowed to 184.6 m/s: $P = 10^{-7}\cdot 2480 \cdot 5.9^{0.69} \cdot 0.076^{-1.07} \cdot 184.6^{1.38} = 17.8\,\text{mm}$.
HE penetration13 mm
13 mm ≈ 76 mm caliber / 6 (standard HE penetration ratio).
AP overmatch5 mm
floor(76 mm caliber / 14.3) = 5 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius2
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 alpha5
All 5 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha5,500
1,100 HE damage x 5 broadside guns = 5,500.
AP full-salvo alpha5,500
1,100 AP damage x 5 broadside guns = 5,500.
Base HE DPM94,286
5,500 HE full-salvo alpha x 60 / 3.5 s base reload = 94,286.
Base AP DPM94,286
5,500 AP full-salvo alpha x 60 / 3.5 s base reload = 94,286.
Base shells/min85.7
5 broadside guns x 60 / 3.5 s base reload = 85.7.
Base fires/min3.43
5 HE shells x 60 / 3.5 s reload x 4% fire chance = 3.43.
Torpedoes
Torpedo detectability0.9 km
Estimated torpedo reaction time6.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed57 kt
Travel time to max range40.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count3
3 launchers x 1 tubes.
Per-side salvo3 torpedoes
3 (centerline launchers train across - full salvo to either side).
Full-salvo damage23,199
All tubes hitting one target: tubes x per-torpedo simulated damage = 3 x 7,733 = 23,199.
Per-side salvo damage23,199
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 3 x 7,733 = 23,199.
AA defense
Close-range AA DPS10
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (3×3.5×0.95) = 10. 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 range1 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index10
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 km
Damage Control Party
Smoke Generator
Engine Boost