Main battery formulas
Shell Grouping (σ)1.8
Max Horiz Disp200.4 m at 16.2 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km120 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 km156 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.
Shell scatter width @ 15 km192 m
Horizontal scatter at a fixed 15 km, from the same verified dispersion model - the long-range anchor. Only shown when the ship's guns reach 15 km.
Max Vert Disp160.4 m at 16.2 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km101 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 16172 m. Above the kink: , so .
Med Horiz Disp66.8 m at 16.2 km
50%-hit horizontal radius:
Med Vert Disp53.5 m at 16.2 km
50%-hit vertical radius:
AP Pen Close696.8 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far376 mm at 16.2 km
Same formula at the ship's max firing range (16.2 km), where the shell has slowed to 495.6 m/s: .
AP pen 5 km567 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 km465 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 pen 15 km390 mm
AP penetration at a fixed 15 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.
HE flight time @ 10 km5.88 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 805 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.
AP flight time @ 10 km5.44 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 775 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 penetration59 mm
59 mm ≈ 356 mm caliber / 6 (standard HE penetration ratio).
AP overmatch24 mm
floor(356 mm caliber / 14.3) = 24 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius90
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 alpha12
All 12 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha68,400
5,700 HE damage x 12 broadside guns = 68,400.
AP full-salvo alpha122,400
10,200 AP damage x 12 broadside guns = 122,400.
HE DPM141,517
68,400 HE full-salvo alpha x 60 / 29 s base reload = 141,517.
AP DPM253,241
122,400 AP full-salvo alpha x 60 / 29 s base reload = 253,241.
Shells/min24.8
12 broadside guns x 60 / 29 s base reload = 24.8.
Fires/min6.21
24.8 shells/min x 25% fire chance = 6.21.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Main Battery Reload Booster