Main battery formulas
Shell Grouping (σ)2
Max Horiz Disp194 m at 17.4 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 Disp116.4 m at 17.4 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km68 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 17380 m. Above the kink: , so .
Med Horiz Disp58.2 m at 17.4 km
50%-hit horizontal radius:
Med Vert Disp34.9 m at 17.4 km
50%-hit vertical radius:
AP Pen Close800.5 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far528.1 mm at 17.4 km
Same formula at the ship's max firing range (17.4 km), where the shell has slowed to 563.7 m/s: .
AP pen 5 km704 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 km621 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 km554 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 km5.05 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 820 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 km5.23 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 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 Radius400
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 time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha51,300
5,700 HE damage x 9 broadside guns = 51,300.
AP full-salvo alpha117,000
13,000 AP damage x 9 broadside guns = 117,000.
HE DPMInitial: 85,500 → 95,000
Zero upgrades: 51,300 HE full-salvo alpha x 60 / 36 s base reload = 85,500. All upgrades (Main Battery Mod. 3 = -10% reload): 51,300 HE full-salvo alpha x 60 / 32.4 s all-upgrades reload = 95,000.
AP DPMInitial: 195,000 → 216,667
Zero upgrades: 117,000 AP full-salvo alpha x 60 / 36 s base reload = 195,000. All upgrades (Main Battery Mod. 3 = -10% reload): 117,000 AP full-salvo alpha x 60 / 32.4 s all-upgrades reload = 216,667.
Shells/minInitial: 15 → 16.7
Zero upgrades: 9 broadside guns x 60 / 36 s base reload = 15. All upgrades (Main Battery Mod. 3 = -10% reload): 9 broadside guns x 60 / 32.4 s all-upgrades reload = 16.7.
Fires/minInitial: 5.4 → 6
Zero upgrades: 15 shells/min x 36% fire chance = 5.4. All upgrades (Main Battery Mod. 3 = -10% reload): 16.7 shells/min x 36% fire chance = 6.
Damage Control Party
Repair Party
Catapult Fighter
Observation Seaplane
Secondary Battery Booster
Main Battery Reload Booster
Defensive AA Fire
