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Charred Earth

pneumatic fire mission simulator
click or drag to elevate

Plan View1 km

click or drag to traverse
Gun bearing
000°
Target bearing
000°
Traverse error
0.0°
Line offset
0 m
Flight time
0.00 s
Downrange
0 m
Altitude MSL
0 m
Velocity
0 m/s
Wind drift
0 m
Last impact
--
Fires
0

Fire ControlREADY

150psi
45.0deg
500g

Firing Data

Muzzle velocity
0 m/s
Muzzle energy
0 J
Peak chamber
0 psi
Barrel dwell
0 ms
Target range
0 m
Target elev
0 m
Wind m/s
calm
Napalm pattern
8.0 m

AtmosphereISA

Altimeter
1013 hPa
Station
29.92 inHg
Site elev
0 m
Temp
15.0 C
Humidity
40 %
Density
1.225
Density alt
0 m
Sound
340 m/s

MissionFM-01

Score
0
Killed
0
Rounds
0
Shots
0

Spotter Log

Space fire ← → traverse ↑ ↓ elevation [ ] pressure Shift fine Click the gun line to elevate Click the plan view to lay the gun

Ballistics Briefing

You are laying a large pneumatic gun onto a 50 metre target compound that can sit anywhere in the 360 degrees around you. There is no propellant charge and no fuse: everything the round does downrange is decided by the pressure you spend, the mass you throw, the angle you set, and the bearing you lay on.

1. The gun, and why the numbers move

ṁ = Cd·A_v·P_r·√(γ/RT_r)·(2/(γ+1))^((γ+1)/2(γ−1))  (choked)
d(m_b c_v T_b)/dt = ṁ c_p T_r − P_b A v    m dv/dt = (P_b − P_atm)A − F_fric − mg sinθ

That is why the chamber never reaches the reservoir pressure, why the dwell time in the barrel changes with mass, and why a heavier round takes more of the stored energy even though it leaves slower. Muzzle velocity, muzzle energy, peak chamber pressure and dwell are all reported before you fire.

2. The atmosphere is not a constant

Every fire mission gets a real station: a site elevation, a barometric setting, a temperature and a humidity. Density comes from the humid air relation and drops with altitude along the whole trajectory, so the round thins out as it climbs.

ρ = (P − P_v)/(R_d T) + P_v/(R_v T)    P(h) = QNH(1 − 0.0065h/T₀)^5.2559

The altimeter is live: set against the mission QNH it reads your site elevation on the ground, and the needle follows the round up and back down through its arc. Watch the density altitude. A hot, high, low pressure day will stretch the same firing solution by tens of metres.

3. Flight

Three dimensional, integrated at 240 Hz: gravity, quadratic drag against the moving air mass, and the Coriolis acceleration for a gun at 32.8 degrees north. Wind is a real vector with a direction of its own, so a crosswind pushes the round off the gun target line and you have to lay off for it. The drift is reported live and the ground track is drawn on the plan view.

a = g + (½ρC_dA/m)|v − w|(w − v) − 2Ω × v

4. The warhead

Every round is incendiary and the filler scales with the projectile: a 375 g round lays a 4 metre pattern, the standard 500 g lays 5.3 metres, and a 1125 g round lays 12 metres. The target compound is 50 metres on a side, so a direct hit is required. The fire that follows spreads through whatever fuel it finds, driven downwind, and leaves the ground charred behind it. It can still finish a compound on its own if you land upwind, but it is worth far less than putting the round on the roof.

5. Scoring and controls