Main battery formulas
Shell Grouping (σ)2
Max Horiz Disp93.3 m at 10.4 km
Horizontal dispersion ellipse width at max range, from the verified WoWS dispersion model:
Shell scatter width @ 5 km52.5 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 km90 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.
Max Vert Disp56 m at 10.4 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km53.2 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 10445 m. Above the kink: , so .
Med Horiz Disp28 m at 10.4 km
50%-hit horizontal radius:
Med Vert Disp16.8 m at 10.4 km
50%-hit vertical radius:
AP Pen Close219 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far47.6 mm at 10.4 km
Same formula at the ship's max firing range (10.4 km), where the shell has slowed to 302.5 m/s: .
AP pen 5 km101 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 km50 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.
HE flight time @ 10 km7.25 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 915 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 km7.25 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 915 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 penetration21 mm
21 mm ≈ 127 mm caliber / 6 (standard HE penetration ratio).
AP overmatch8 mm
floor(127 mm caliber / 14.3) = 8 mm (AP auto-penetrates plating this thick or less).
AP AOE Radius10
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 time20.2 s
180 degrees / 8.9 deg/s traverse speed = 20.2 s.
HE full-salvo alpha12,900
2,150 HE damage x 6 broadside guns = 12,900.
AP full-salvo alpha13,200
2,200 AP damage x 6 broadside guns = 13,200.
HE DPM129,000
12,900 HE full-salvo alpha x 60 / 6 s base reload = 129,000.
AP DPM132,000
13,200 AP full-salvo alpha x 60 / 6 s base reload = 132,000.
Shells/min60
6 broadside guns x 60 / 6 s base reload = 60.
Fires/min5.4
60 shells/min x 9% fire chance = 5.4.
Torpedoes
Torpedo detectability2.3 km
Estimated torpedo reaction time13.2 s
detectability / (speed kt x 2.6855 game-speed factor, m/s per knot, calibrated from in-game measurement; the community's traditional 2.6 reads about 3% slower).
Torpedo speed65 kt
Travel time to max range57.2 s
range / (speed kt x 2.6855 game-speed factor, m/s per knot, calibrated from in-game measurement).
Torpedo module damage1,500
Per-torpedo module/blast damage parameter from in-game data. Most torpedoes carry 500 to 2,000; ships announced by WG as dealing increased module damage carry 9,000 to 12,000, so their hits knock out engines, rudders, and turrets far more often. Comparative figure; the exact module-HP conversion is not published.
Tube count8
2 launchers x 4 tubes.
Per-side salvo8 torpedoes
8 (centerline launchers train across - full salvo to either side).
Full-salvo damage158,936
All tubes hitting one target: tubes x per-torpedo simulated damage = 8 x 19,867 = 158,936.
Per-side salvo damage158,936
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 8 x 19,867 = 158,936.
AA defense
AA DPS at max range103
Only families that reach 3.1 km contribute at the outer edge of the AA bubble. In-game families: 25mm Type96 3x3 -> 24 DPS @ 3.1 km; 25mm Type96 single 10x1 -> 79 DPS @ 3.1 km.
Maximum AA range3.1 km
Longest-reaching family on the in-game AA card. Base AirDefense aura max range is 3.1 km; dual-purpose mount auras extend it.
AA DPS layered by range103 DPS @ 3.1 km
Cumulative AA DPS at each family range threshold. Inner ranges stack the outer families, so a target closing the distance hits stronger AA bubbles as it crosses each band.
AA DPS at point-blank103
Sum of every family's average DPS, achievable only inside the closest-range family (3.1 km).
AA threat index319
SUM over AA auras of (aura DPS x aura range km). A plane crossing the AA bubble is exposed to each aura for a time proportional to that aura's range, so long-reach DPS is worth more than the same DPS in a short bubble. Units: DPS*km; used to rank overall AA threat across the cohort.
Near aura range3.1 km
Damage Control Party
Smoke Generator
Engine Boost