Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp112.4 m
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model: $\sigma_H = \left(\dfrac{R}{30}\cdot\dfrac{\text{idealRadius}-\text{minRadius}}{\text{idealDistance}} + \text{minRadius}\right)\cdot 30$ $= \left(\dfrac{11506}{30}\cdot\dfrac{8-1.1}{1000} + 1.1\right)\cdot 30 = 112.4\,\text{m}$
Max Vert Disp67.4 m
Vertical dispersion ellipse height at max range: $\sigma_V = \sigma_H \cdot \text{radiusOnMax}$ $= 112.4 \cdot 0.6 = 67.4\,\text{m}$
Med Horiz Disp35.9 m
50%-hit horizontal radius: $\sigma_{H,50} = \sigma_H \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 112.4 \cdot 0.319\;(\sigma = 2) = 35.9\,\text{m}$
Med Vert Disp21.5 m
50%-hit vertical radius: $\sigma_{V,50} = \sigma_V \cdot \text{GetHalfHitsRatio}(\sigma)$ $= 67.4 \cdot 0.319\;(\sigma = 2) = 21.5\,\text{m}$
AP Pen Close236.6 mm
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: $P = 10^{-7}\cdot K \cdot m^{0.69} \cdot d^{-1.07} \cdot v_0^{1.38}$ $= 10^{-7}\cdot 2045 \cdot 45.36^{0.69} \cdot 0.152^{-1.07} \cdot 853^{1.38} = 236.6\,\text{mm}$. Matches the in-game spec card.
AP Pen Far55.5 mm
Same formula at the ship's max firing range (15.8 km), where the shell has slowed to 298.3 m/s: $P = 10^{-7}\cdot 2045 \cdot 45.36^{0.69} \cdot 0.152^{-1.07} \cdot 298.3^{1.38} = 55.5\,\text{mm}$.
HE penetration25 mm
25 mm ≈ 152 mm caliber / 6 (standard HE penetration ratio).
AP overmatch10 mm
floor(152 mm caliber / 14.3) = 10 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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
All 6 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha13,200
2,200 HE damage x 6 broadside guns = 13,200.
AP full-salvo alpha15,000
2,500 AP damage x 6 broadside guns = 15,000.
Base HE DPM121,846
13,200 HE full-salvo alpha x 60 / 6.5 s base reload = 121,846.
Base AP DPM138,462
15,000 AP full-salvo alpha x 60 / 6.5 s base reload = 138,462.
Base shells/min55.4
6 broadside guns x 60 / 6.5 s base reload = 55.4.
Base fires/min6.65
6 HE shells x 60 / 6.5 s reload x 12% fire chance = 6.65.
Torpedoes
Torpedo detectability1.1 km
Estimated torpedo reaction time8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed53 kt
Travel time to max range43.5 s
range / (speed kt x 2.6 community game-speed factor).
Tube count12
4 launchers x 3 tubes.
Per-side salvo6 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage109,200
All tubes hitting one target: tubes x per-torpedo simulated damage = 12 x 9,100 = 109,200.
Per-side salvo damage54,600
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 6 x 9,100 = 54,600.
AA defense
AA DPS at point-blank168
In-game AA card sum: 168 DPS, achievable only when a target is inside the shortest-range AA family. Captured as a point-blank total only -- per-family breakdown not yet recorded for this ship, so the DPS at 2.5 km is unknown.
Maximum AA range2.5 km
In-game AA card max range: 2.5 km. Only the longest-reach family contributes at this distance.
AA threat index420
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
Damage Control Party
Sonar
Repair Party