Main battery formulas
Shell Grouping (σ)2
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp88.3 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (9780/30·(8−0.5)/1000 + 0.5)·30 = 88.3 m
Max Vert Disp53 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 88.3 × 0.6 = 53 m
Med Horiz Disp28.2 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 88.3 × 0.319 (σ=2) = 28.2 m
Med Vert Disp16.9 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 53 × 0.319 (σ=2) = 16.9 m
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close207 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 × 2100 × 32.1^0.69 × 0.13^-1.07 × 800^1.38 = 207 mm. Matches the in-game spec card.
AP Pen Far44.4 mm
Same formula at the ship's max firing range (13.4 km), where the shell has slowed to 262 m/s: 1e-7 × 2100 × 32.1^0.69 × 0.13^-1.07 × 262^1.38 = 44.4 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 Radius12
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 alpha11,700
1,950 HE damage x 6 broadside guns = 11,700.
AP full-salvo alpha14,400
2,400 AP damage x 6 broadside guns = 14,400.
Base HE DPM100,286
11,700 HE full-salvo alpha x 60 / 7 s base reload = 100,286.
Base AP DPM123,429
14,400 AP full-salvo alpha x 60 / 7 s base reload = 123,429.
Base shells/min51.4
6 broadside guns x 60 / 7 s base reload = 51.4.
Base fires/min4.63
6 HE shells x 60 / 7 s reload x 9% fire chance = 4.63.
Torpedoes
Torpedo detectability1 km
Estimated torpedo reaction time9.6 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed40 kt
Travel time to max range96.1 s
range / (speed kt x 2.6 community game-speed factor).
Tube count7
3 launchers x 2 tubes.
Per-side salvo7 torpedoes
7 (centerline launchers train across - full salvo to either side).
Full-salvo damage84,000
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage84,000
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS118
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (10×3.5×1) + (25×3.5×0.95) = 118. 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 range3.5 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index289
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
Damage Control Party
Smoke Generator
Engine Boost