Main battery formulas
Shell Grouping (σ)1.5
Max Horiz Disp198.5 m at 13.9 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km110 m
Horizontal scatter at a fixed 5 km, from the same verified dispersion model as the rows below - a knife-fight-range anchor comparable across ships.
Shell scatter width @ 10 km160 m
How wide your shells scatter at 10 km, from the same dispersion model as the max-range figure above. Picking a fixed range makes this number directly comparable from ship to ship: max-range dispersion makes a longer-range gun look worse even when it's tighter at any common range. The interactive Dispersion tab on the Charts card plots the full curve from 0 to max range.
Max Vert Disp119.1 m at 13.9 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km87.1 m
How tall the same scatter ellipse is at 10 km. Comparable from ship to ship for the same reason as the width value above. The height/width ratio is a piecewise-linear curve through three points from the ship's own dispersion data: at 0 m, at m, and at 13854.5 m. Above the kink: , so .
Med Horiz Disp79.4 m at 13.9 km
50%-hit horizontal radius:
Med Vert Disp47.7 m at 13.9 km
50%-hit vertical radius:
AP Pen Close531 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far249.1 mm at 13.9 km
Same formula at the ship's max firing range (13.9 km), where the shell has slowed to 454.8 m/s: .
AP pen 5 km397 mm
AP penetration at a fixed 5 km, read off the same PC-validated ballistic curve as AP Pen Close/Far: the shell's impact velocity at that range fed through the canonical community AP formula . Fixed anchors make ships directly comparable at the same fighting distance; the Charts card plots the full curve.
AP pen 10 km301 mm
AP penetration at a fixed 10 km, read off the same PC-validated ballistic curve as AP Pen Close/Far: the shell's impact velocity at that range fed through the canonical community AP formula . Fixed anchors make ships directly comparable at the same fighting distance; the Charts card plots the full curve.
AP flight time @ 10 km5.72 s
How long an AP shell takes to reach a target at a fixed 10 km, from the same numerically integrated trajectory the Charts card plots. The shell slows under quadratic air drag, , where is air density from a standard-atmosphere profile and bundles the shell's drag coefficient, caliber and mass: . That runs from a 787 m/s muzzle velocity in 0.02 s steps under gravity 9.8 m/s² until the shell lands, then divides by 2.77: the game clock runs faster than real time, and that factor was measured against stopwatch runs in the Training Room. Lower is better, since a faster shell is harder to dodge and needs less lead.
HE flight time @ 10 km5.72 s
How long an HE shell takes to reach a target at a fixed 10 km, from the same numerically integrated trajectory the Charts card plots. The shell slows under quadratic air drag, , where is air density from a standard-atmosphere profile and bundles the shell's drag coefficient, caliber and mass: . That runs from a 787 m/s muzzle velocity in 0.02 s steps under gravity 9.8 m/s² until the shell lands, then divides by 2.77: the game clock runs faster than real time, and that factor was measured against stopwatch runs in the Training Room. Lower is better, since a faster shell is harder to dodge and needs less lead.
HE penetration86 mm
86 mm ≈ 343 mm caliber / 4 (improved HE penetration: German BBs, Yamato-class, and a handful of others).
Improved HE PenYes
This ship's HE shells use a 1/4 (~0.25) caliber-to-pen ratio instead of the standard 1/6 (~0.167) - 0.251 in this case. Lets HE pen ~85mm armor instead of ~57mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch23 mm
floor(343 mm caliber / 14.3) = 23 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius55
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 time72 s
180 degrees / 2.5 deg/s traverse speed = 72 s.
HE full-salvo alpha47,000
4,700 HE damage x 10 broadside guns = 47,000.
AP full-salvo alpha95,000
9,500 AP damage x 10 broadside guns = 95,000.
HE DPM94,000
47,000 HE full-salvo alpha x 60 / 30 s base reload = 94,000.
AP DPM190,000
95,000 AP full-salvo alpha x 60 / 30 s base reload = 190,000.
Shells/min20
10 broadside guns x 60 / 30 s base reload = 20.
Fires/min8
20 shells/min x 40% fire chance = 8.
AA defense
AA DPS at max range55
Only families that reach 5 km contribute at the outer edge of the AA bubble. In-game families: 2pdr QF MKII PomPom 4x1 -> 47 DPS @ 2.5 km; 12mm62 HI 4x4 -> 20 DPS @ 1.2 km; 4in45 QF Mk XIX 4x2 -> 55 DPS @ 5 km.
Maximum AA range5 km
Longest-reaching family on the in-game AA card. Base AirDefense aura max range is 2.5 km; dual-purpose mount auras extend it.
AA DPS layered by range55 DPS @ 5 km, 102 DPS @ 2.5 km, 122 DPS @ 1.2 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank122
Sum of every family's average DPS, achievable only inside the closest-range family (1.2 km).
AA threat index416
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
Repair Party
Secondary Battery Booster