Main battery formulas
Shell Grouping (σ)2
Max Horiz Disp90.2 m at 10 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 Disp54.1 m at 10 km
Vertical dispersion ellipse height at max range:
Shell scatter height @ 10 km54 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 10021 m. Above the kink: , so .
Med Horiz Disp27 m at 10 km
50%-hit horizontal radius:
Med Vert Disp16.2 m at 10 km
50%-hit vertical radius:
Dispersion familyDD Disp.
Standard destroyer dispersion baseline.
AP Pen Close155 mm point-blank
Canonical community AP formula (jcw780/wows_shell), evaluated at muzzle velocity: . Matches the in-game spec card.
AP Pen Far73.1 mm at 10 km
Same formula at the ship's max firing range (10 km), where the shell has slowed to 420.5 m/s: .
AP pen 5 km105 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 km73 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 flight time @ 10 km6.72 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 725 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 km6.72 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 725 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 penetration22 mm
22 mm ≈ 130 mm caliber / 6 (standard HE penetration ratio).
AP overmatch9 mm
floor(130 mm caliber / 14.3) = 9 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 alpha4
All 4 barrels bear on the broadside.
Turret turn time13.8 s
180 degrees / 13 deg/s traverse speed = 13.8 s.
HE full-salvo alpha7,600
1,900 HE damage x 4 broadside guns = 7,600.
AP full-salvo alpha9,200
2,300 AP damage x 4 broadside guns = 9,200.
HE DPM65,143
7,600 HE full-salvo alpha x 60 / 7 s base reload = 65,143.
AP DPM78,857
9,200 AP full-salvo alpha x 60 / 7 s base reload = 78,857.
Shells/min34.3
4 broadside guns x 60 / 7 s base reload = 34.3.
Fires/min3.09
34.3 shells/min x 9% fire chance = 3.09.
Torpedoes
Torpedo detectability1 km
Estimated torpedo reaction time4.1 to 6.8 s
A range because these torpedoes accelerate: spotted right at launch they are still at launch speed (the high end, most warning); spotted past the short front-loaded ramp, including at max range, they are at terminal speed (the low end). detectability / (speed kt x 2.6855 game-speed factor), evaluated at both speeds. An in-game stopwatch timing of the full run (37.5 s at max range) agrees with this model within about 5%.
Torpedo speed (listed; see curve)40 kt
Terminal torpedo speed90 kt
Decoded from the in-game data's speed-curve field: these torpedoes leave the tubes at 55 kt and build to this over the first 6 km of the run. Corroborated by velocity telemetry (late-run readings approach this value) and by stopwatch timing a max-range run in game.
Travel time to max range39.1 s
Ramp model: 55 to 90 kt over the first 6 km, then terminal speed for the rest, at 2.6855 m/s per knot. An in-game stopwatch timing of the full run (37.5 s at max range) agrees with this model within about 5%.
Torpedo module damage1,000
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 count6
2 launchers x 3 tubes.
Per-side salvo6 torpedoes
6 (centerline launchers train across - full salvo to either side).
Full-salvo damage67,998
All tubes hitting one target: tubes x per-torpedo simulated damage = 6 x 11,333 = 67,998.
Per-side salvo damage67,998
One side firing, all torpedoes hitting: per-side tubes x per-torpedo simulated damage = 6 x 11,333 = 67,998.
AA defense
AA DPS at max range4
Only families that reach 3 km contribute at the outer edge of the AA bubble. In-game families: 37 50 Mle 1925 2x1 -> 4 DPS @ 3 km; 13 2 76 Hotchkiss CAQ Mle 1929 twin 2x2 -> 13 DPS @ 1.2 km.
Maximum AA range3 km
Longest-reaching family on the in-game AA card. Base AirDefense aura max range is 3 km; dual-purpose mount auras extend it.
AA DPS layered by range4 DPS @ 3 km, 17 DPS @ 1.2 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-blank17
Sum of every family's average DPS, achievable only inside the closest-range family (1.2 km).
AA threat index28
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 range1.2 km
Damage Control Party
Smoke Generator
Engine Boost