Main battery formulas
Shell Grouping (σ)2
Max Horiz Disp200.7 m at 18.2 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km90 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 km132 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 km174 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 Disp120.4 m at 18.2 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km67.3 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 18180 m. Above the kink: , so .
Med Horiz Disp60.2 m at 18.2 km
50%-hit horizontal radius:
Med Vert Disp36.1 m at 18.2 km
50%-hit vertical radius:
AP Pen Close916.9 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far579.8 mm at 18.2 km
Same formula at the ship's max firing range (18.2 km), where the shell has slowed to 609.8 m/s: .
AP pen 5 km801 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 km703 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 km622 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 km4.7 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 850 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 km4.7 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 850 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 penetration68 mm
68 mm ≈ 406 mm caliber / 6 (standard HE penetration ratio).
AP overmatch28 mm
floor(406 mm caliber / 14.3) = 28 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius150
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 time25.7 s
180 degrees / 7 deg/s traverse speed = 25.7 s.
HE full-salvo alpha40,200
6,700 HE damage x 6 broadside guns = 40,200.
AP full-salvo alpha72,600
12,100 AP damage x 6 broadside guns = 72,600.
HE DPMInitial: 90,677 → 100,921
Zero upgrades: 40,200 HE full-salvo alpha x 60 / 26.6 s base reload = 90,677. All upgrades (Main Battery Mod. 3 = -10% reload): 40,200 HE full-salvo alpha x 60 / 23.9 s all-upgrades reload = 100,921.
AP DPMInitial: 163,759 → 182,259
Zero upgrades: 72,600 AP full-salvo alpha x 60 / 26.6 s base reload = 163,759. All upgrades (Main Battery Mod. 3 = -10% reload): 72,600 AP full-salvo alpha x 60 / 23.9 s all-upgrades reload = 182,259.
Shells/minInitial: 13.5 → 15.1
Zero upgrades: 6 broadside guns x 60 / 26.6 s base reload = 13.5. All upgrades (Main Battery Mod. 3 = -10% reload): 6 broadside guns x 60 / 23.9 s all-upgrades reload = 15.1.
Fires/minInitial: 6.63 → 7.38
Zero upgrades: 13.5 shells/min x 49% fire chance = 6.63. All upgrades (Main Battery Mod. 3 = -10% reload): 15.1 shells/min x 49% fire chance = 7.38.
Damage Control Party
Repair Party
Main Battery Reload Booster
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Engine Boost