Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp83.2 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{9100}{30}\cdot\dfrac{8-0.5}{1000} + 0.5\right)\cdot 30 = 83.2\,\text{m}$
Max Vert Disp50 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 83.2 \cdot 0.6 = 50\,\text{m}$
Med Horiz Disp26.6 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 83.2 \cdot 0.32\;(\sigma = 2) = 26.6\,\text{m}$
Med Vert Disp16 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 50 \cdot 0.32\;(\sigma = 2) = 16\,\text{m}$
AP Pen Close134.1 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 715^{1.38} = 134.1\,\text{mm}$. Matches the in-game spec card.
AP Pen Far28.6 mm
Same formula at the ship's max firing range (11.4 km), where the shell has slowed to 233.6 m/s: $P = 10^{-7}\cdot 1870 \cdot 18.2^{0.69} \cdot 0.105^{-1.07} \cdot 233.6^{1.38} = 28.6\,\text{mm}$.
HE penetration18 mm
18 mm ≈ 105 mm caliber / 6 (standard HE penetration ratio).
AP overmatch7 mm
floor(105 mm caliber / 14.3) = 7 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius3
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 time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha4,800
1,200 HE damage x 4 broadside guns = 4,800.
AP full-salvo alpha9,200
2,300 AP damage x 4 broadside guns = 9,200.
Base HE DPM72,000
4,800 HE full-salvo alpha x 60 / 4 s base reload = 72,000.
Base AP DPM138,000
9,200 AP full-salvo alpha x 60 / 4 s base reload = 138,000.
Base shells/min60
4 broadside guns x 60 / 4 s base reload = 60.
Base fires/min3
4 HE shells x 60 / 4 s reload x 5% fire chance = 3.
Torpedoes
Torpedo detectability1 km
Estimated torpedo reaction time7.1 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed54 kt
Travel time to max range49.8 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
4 launchers x 2 tubes.
Per-side salvo6 torpedoes
6 (centerline launchers train across - full salvo to either side).
Full-salvo damage58,800
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 9,800 = 58,800.
Per-side salvo damage58,800
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 6 x 9,800 = 58,800.
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