Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp123.8 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (13160/30·(8−1.1)/1000 + 1.1)·30 = 123.8 m
Max Vert Disp74.3 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 123.8 × 0.6 = 74.3 m
Med Horiz Disp38.8 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 123.8 × 0.313 (σ=2.05) = 38.8 m
Med Vert Disp23.3 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 74.3 × 0.314 (σ=2.05) = 23.3 m
Dispersion familyCruiser Disp.
Standard cruiser dispersion baseline.
AP Pen Close193.8 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 × 1700 × 33.5^0.69 × 0.13^-1.07 × 870^1.38 = 193.8 mm. Matches the in-game spec card.
AP Pen Far48 mm
Same formula at the ship's max firing range (18.1 km), where the shell has slowed to 316.3 m/s: 1e-7 × 1700 × 33.5^0.69 × 0.13^-1.07 × 316.3^1.38 = 48 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 Radius9
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time7.2 s
180 degrees / 25 deg/s traverse speed = 7.2 s.
HE full-salvo alpha19,000
1,900 HE damage x 10 broadside guns = 19,000.
AP full-salvo alpha25,000
2,500 AP damage x 10 broadside guns = 25,000.
Base HE DPM237,500 Δ
19,000 HE full-salvo alpha x 60 / 4.8 s base reload = 237,500
Base AP DPM312,500 Δ
25,000 AP full-salvo alpha x 60 / 4.8 s base reload = 312,500
Installed HE DPM264,489 Δ
19,000 HE full-salvo alpha x 60 / 4.3102 s installed reload (Main Battery Mod. 3 = -10%) = 264,489
Installed AP DPM348,011 Δ
25,000 AP full-salvo alpha x 60 / 4.3102 s installed reload (Main Battery Mod. 3 = -10%) = 348,011
Base shells/min124.95 Δ
10 broadside guns x 60 / 4.8 s base reload = 124.95
Installed shells/min139.24 Δ
10 broadside guns x 60 / 4.3102 s installed Artillery reload = 139.24
Base fires/min8.75 Δ
10 HE shells x 60 / 4.8 s reload x 7% fire chance = 8.75
Installed fires/min9.75 Δ
10 HE shells x 60 / 4.3102 s installed reload x 7% fire chance = 9.75
Torpedoes
Torpedo detectability1.3 km Δ
Estimated torpedo reaction time4.8 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed64 kt
Travel time to max range66 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 damage208,800
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage104,400
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS401
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (73×3.5×0.9) + (30×3.5×0.85) + (26×3.5×0.9) = 401. 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 range5.2 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1409
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
Repair Party
Defensive AA Fire
Torpedo Reload Booster