Main battery formulas
Shell Grouping (σ)2.05
Max Horiz Disp139 m at 15.4 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km67.5 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 km102 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 km136.5 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 Disp83.4 m at 15.4 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km54.1 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 15360 m. Above the kink: , so .
Med Horiz Disp40.7 m at 15.4 km
50%-hit horizontal radius:
Med Vert Disp24.4 m at 15.4 km
50%-hit vertical radius:
AP Pen Close488.4 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far201.3 mm at 15.4 km
Same formula at the ship's max firing range (15.4 km), where the shell has slowed to 400.9 m/s: .
AP pen 5 km355 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 km263 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 km205 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 823 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 km6.04 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 762 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 penetration34 mm
34 mm ≈ 203 mm caliber / 6 (standard HE penetration ratio).
AP overmatch14 mm
floor(203 mm caliber / 14.3) = 14 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius30
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 time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha18,000
3,000 HE damage x 6 broadside guns = 18,000.
AP full-salvo alpha31,800
5,300 AP damage x 6 broadside guns = 31,800.
HE DPMInitial: 207,692 → 229,787
Zero upgrades: 18,000 HE full-salvo alpha x 60 / 5.2 s base reload = 207,692. All upgrades (Main Battery Mod. 3 = -10% reload): 18,000 HE full-salvo alpha x 60 / 4.7 s all-upgrades reload = 229,787.
AP DPMInitial: 366,923 → 405,957
Zero upgrades: 31,800 AP full-salvo alpha x 60 / 5.2 s base reload = 366,923. All upgrades (Main Battery Mod. 3 = -10% reload): 31,800 AP full-salvo alpha x 60 / 4.7 s all-upgrades reload = 405,957.
Shells/minInitial: 69.2 → 76.6
Zero upgrades: 6 broadside guns x 60 / 5.2 s base reload = 69.2. All upgrades (Main Battery Mod. 3 = -10% reload): 6 broadside guns x 60 / 4.7 s all-upgrades reload = 76.6.
Fires/minInitial: 9.69 → 10.72
Zero upgrades: 69.2 shells/min x 14% fire chance = 9.69. All upgrades (Main Battery Mod. 3 = -10% reload): 76.6 shells/min x 14% fire chance = 10.72.
Damage Control Party
Sonar
Defensive AA Fire
Surveillance Radar
Repair Party