Main battery formulas
Shell Grouping (σ)1.8
Max Horiz Disp237 m at 17.4 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km115 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 km164 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 km213 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 Disp142.2 m at 17.4 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km84.4 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 17450 m. Above the kink: , so .
Med Horiz Disp79 m at 17.4 km
50%-hit horizontal radius:
Med Vert Disp47.4 m at 17.4 km
50%-hit vertical radius:
AP Pen Close761.8 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far465.5 mm at 17.4 km
Same formula at the ship's max firing range (17.4 km), where the shell has slowed to 580.8 m/s: .
AP pen 5 km655 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 km566 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 km495 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.
AP flight time @ 10 km4.87 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 830 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 km4.87 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 830 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 penetration63 mm
63 mm ≈ 380 mm caliber / 6 (standard HE penetration ratio).
AP overmatch26 mm
floor(380 mm caliber / 14.3) = 26 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius120
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 alpha9
All 9 barrels bear on the broadside.
Turret turn time36 s
180 degrees / 5 deg/s traverse speed = 36 s.
HE full-salvo alpha48,600
5,400 HE damage x 9 broadside guns = 48,600.
AP full-salvo alpha107,100
11,900 AP damage x 9 broadside guns = 107,100.
HE DPMInitial: 95,607 → 106,423
Zero upgrades: 48,600 HE full-salvo alpha x 60 / 30.5 s base reload = 95,607. All upgrades (Main Battery Mod. 3 = -10% reload): 48,600 HE full-salvo alpha x 60 / 27.4 s all-upgrades reload = 106,423.
AP DPMInitial: 210,689 → 234,526
Zero upgrades: 107,100 AP full-salvo alpha x 60 / 30.5 s base reload = 210,689. All upgrades (Main Battery Mod. 3 = -10% reload): 107,100 AP full-salvo alpha x 60 / 27.4 s all-upgrades reload = 234,526.
Shells/minInitial: 17.7 → 19.7
Zero upgrades: 9 broadside guns x 60 / 30.5 s base reload = 17.7. All upgrades (Main Battery Mod. 3 = -10% reload): 9 broadside guns x 60 / 27.4 s all-upgrades reload = 19.7.
Fires/minInitial: 6.37 → 7.09
Zero upgrades: 17.7 shells/min x 36% fire chance = 6.37. All upgrades (Main Battery Mod. 3 = -10% reload): 19.7 shells/min x 36% fire chance = 7.09.
Damage Control Party
Repair Party
Secondary Battery Booster
Engine Boost
