Main battery formulas
Shell Grouping (σ)2.05
Max Horiz Disp181 m at 15.8 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 Disp108.6 m at 15.8 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km69.5 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 15832 m. Above the kink: , so .
Med Horiz Disp53 m at 15.8 km
50%-hit horizontal radius:
Med Vert Disp31.8 m at 15.8 km
50%-hit vertical radius:
AP Pen Close604 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far346.4 mm at 15.8 km
Same formula at the ship's max firing range (15.8 km), where the shell has slowed to 581.5 m/s: .
AP pen 5 km502 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 km420 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 km355 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 km4.62 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 905 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 km4.77 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 870 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 penetration51 mm
51 mm ≈ 305 mm caliber / 6 (standard HE penetration ratio).
AP overmatch21 mm
floor(305 mm caliber / 14.3) = 21 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius175
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 alpha10
All 10 barrels bear on the broadside.
Turret turn time30 s
180 degrees / 6 deg/s traverse speed = 30 s.
HE full-salvo alpha48,000
4,800 HE damage x 10 broadside guns = 48,000.
AP full-salvo alpha87,000
8,700 AP damage x 10 broadside guns = 87,000.
HE DPMInitial: 120,000 → 133,333
Zero upgrades: 48,000 HE full-salvo alpha x 60 / 24 s base reload = 120,000. All upgrades (Main Battery Mod. 3 = -10% reload): 48,000 HE full-salvo alpha x 60 / 21.6 s all-upgrades reload = 133,333.
AP DPMInitial: 217,500 → 241,667
Zero upgrades: 87,000 AP full-salvo alpha x 60 / 24 s base reload = 217,500. All upgrades (Main Battery Mod. 3 = -10% reload): 87,000 AP full-salvo alpha x 60 / 21.6 s all-upgrades reload = 241,667.
Shells/minInitial: 25 → 27.8
Zero upgrades: 10 broadside guns x 60 / 24 s base reload = 25. All upgrades (Main Battery Mod. 3 = -10% reload): 10 broadside guns x 60 / 21.6 s all-upgrades reload = 27.8.
Fires/minInitial: 6.25 → 6.94
Zero upgrades: 25 shells/min x 25% fire chance = 6.25. All upgrades (Main Battery Mod. 3 = -10% reload): 27.8 shells/min x 25% fire chance = 6.94.
Damage Control Party
Sonar
Defensive AA Fire
Repair Party
Engine Boost
Secondary Battery Booster
Catapult Fighter
Observation Seaplane