Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp79.9 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (8655/30·(8−0.5)/1000 + 0.5)·30 = 79.9 m
Max Vert Disp47.9 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 79.9 × 0.6 = 47.9 m
Med Horiz Disp25.5 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 79.9 × 0.319 (σ=2) = 25.5 m
Med Vert Disp15.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 47.9 × 0.319 (σ=2) = 15.3 m
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close155 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 × 1803 × 32.05^0.69 × 0.13^-1.07 × 725^1.38 = 155 mm. Matches the in-game spec card.
AP Pen Far46.5 mm
Same formula at the ship's max firing range (11.9 km), where the shell has slowed to 302.9 m/s: 1e-7 × 1803 × 32.05^0.69 × 0.13^-1.07 × 302.9^1.38 = 46.5 mm.
HE penetration22 mm
22 mm ≈ 130 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(130 mm caliber / 14.3) = 9 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 alpha4
All 4 barrels bear on the broadside.
Turret turn time18 s
180 degrees / 10 deg/s traverse speed = 18 s.
HE full-salvo alpha8,200
2,050 HE damage x 4 broadside guns = 8,200.
AP full-salvo alpha9,800
2,450 AP damage x 4 broadside guns = 9,800.
Base HE DPM78,095
8,200 HE full-salvo alpha x 60 / 6.3 s base reload = 78,095.
Base AP DPM93,333
9,800 AP full-salvo alpha x 60 / 6.3 s base reload = 93,333.
Base shells/min38.1
4 broadside guns x 60 / 6.3 s base reload = 38.1.
Base fires/min3.43
4 HE shells x 60 / 6.3 s reload x 9% fire chance = 3.43.
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 range49.9 s
range / (speed kt x 2.6 community game-speed factor).
Tube count6
2 launchers x 3 tubes.
Per-side salvo6 torpedoes
6 (centerline launchers train across - full salvo to either side).
Full-salvo damage62,202
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage62,202
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS20
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (2×3.5×1) + (4×3.5×0.95) = 20. 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 range3 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index37
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
Engine Boost