Main battery formulas
Shell Grouping (σ)2.05
Shell grouping (sigma); shown in-game as Shell Grouping.
Max Horiz Disp138.3 m
Horizontal dispersion ellipse width at max range. (R/30·(idealRadius−minRadius)/idealDistance + minRadius)·30 = (15263/30·(8−1.1)/1000 + 1.1)·30 = 138.3 m
Max Vert Disp83 m
Vertical dispersion ellipse height at max range = max horizontal × radiusOnMax = 138.3 × 0.6 = 83 m
Med Horiz Disp43.4 m
50%-hit horizontal radius = max horizontal × GetHalfHitsRatio(σ) = 138.3 × 0.314 (σ=2.05) = 43.4 m
Med Vert Disp26 m
50%-hit vertical radius = max vertical × GetHalfHitsRatio(σ) = 83 × 0.313 (σ=2.05) = 26 m
AP Pen Close229.9 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 × 2598 × 27^0.69 × 0.127^-1.07 × 792^1.38 = 229.9 mm. Matches the in-game spec card.
AP Pen Far67.8 mm
Same formula at the ship's max firing range (19.1 km), where the shell has slowed to 326.8 m/s: 1e-7 × 2598 × 27^0.69 × 0.127^-1.07 × 326.8^1.38 = 67.8 mm.
HE penetration21 mm
floor(127 mm caliber / 6): standard HE penetration.
AP overmatch8 mm
floor(127 mm caliber / 14.3) = 8 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius0
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 alpha14
Barrels that can bear on one beam (14 of 16); casemate/wing mounts only fire one side.
Turret turn time7.2 s
180 degrees / 25 deg/s traverse speed = 7.2 s.
AP full-salvo alpha29,400
2,100 AP damage x 14 broadside guns = 29,400.
Base AP DPM294,000
29,400 AP full-salvo alpha x 60 / 6 s base reload = 294,000.
Installed AP DPM326,667
29,400 AP full-salvo alpha x 60 / 5.4 s installed reload (Main Battery Mod. 3 = -10%) = 326,667.
Base shells/min140
14 broadside guns x 60 / 6 s base reload = 140.
Installed shells/min155.6
14 broadside guns x 60 / 5.4 s installed Artillery reload = 155.6.
Torpedoes
Torpedo detectability1.3 km
Estimated torpedo reaction time7.7 s
detectability / (speed kt x 2.6 community game-speed factor).
Torpedo speed65 kt
Travel time to max range26.6 s
range / (speed kt x 2.6 community game-speed factor).
Tube count8
2 launchers x 4 tubes.
Per-side salvo4 torpedoes
tube count / 2 (symmetric port/starboard launcher layout; common on cruisers and battleships with deck torpedoes).
Full-salvo damage124,264
tube count x per-torpedo simulated damage (all torpedoes hitting).
Per-side salvo damage62,132
per-side salvo x per-torpedo simulated damage.
AA defense
Close-range AA DPS325
Sum across every AA aura on this ship of (aura.continuous_damage x 3.5 x aura.hit_probability). Here: (26×3.5×0.9) + (34×3.5×0.85) + (45×3.5×0.9) = 325. 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 km
Longest-reaching aura across AA-only + dual-purpose auras.
AA threat index1198
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
Repair Party
Defensive AA Fire
Sonar
Main Battery Reload Booster
