Main battery formulas
Shell Grouping (σ)2
Max Horiz Disp221.7 m at 15.9 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 Disp133 m at 15.9 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km86.2 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 15887 m. Above the kink: , so .
Med Horiz Disp66.5 m at 15.9 km
50%-hit horizontal radius:
Med Vert Disp39.9 m at 15.9 km
50%-hit vertical radius:
AP Pen Close638.6 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far277.6 mm at 15.9 km
Same formula at the ship's max firing range (15.9 km), where the shell has slowed to 445.7 m/s: .
AP pen 5 km480 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 km366 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 km288 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 km5.45 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 815 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 km5.49 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 815 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 penetration88 mm
88 mm ≈ 350 mm caliber / 4 (improved HE penetration: German BBs, Yamato-class, and a handful of others).
Improved HE PenYes
This ship's HE shells use a 1/4 (~0.25) caliber-to-pen ratio instead of the standard 1/6 (~0.167) - 0.251 in this case. Lets HE pen ~87mm armor instead of ~58mm. Hits every German cruiser (150mm CL, 203mm CA) and BB (350mm+), British heavy cruisers / Lion / Nelson, a handful of other premiums.
AP overmatch24 mm
floor(350 mm caliber / 14.3) = 24 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius75
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 alpha8
All 8 barrels bear on the broadside.
Turret turn time45 s
180 degrees / 4 deg/s traverse speed = 45 s.
HE full-salvo alpha32,000
4,000 HE damage x 8 broadside guns = 32,000.
AP full-salvo alpha84,000
10,500 AP damage x 8 broadside guns = 84,000.
HE DPM68,571
32,000 HE full-salvo alpha x 60 / 28 s base reload = 68,571.
AP DPM180,000
84,000 AP full-salvo alpha x 60 / 28 s base reload = 180,000.
Shells/min17.1
8 broadside guns x 60 / 28 s base reload = 17.1.
Fires/min4.63
17.1 shells/min x 27% fire chance = 4.63.
Damage Control Party
Repair Party
Secondary Battery Booster