Calculate the Isp of the missile's SRM by yourself bro and then comeback later to me.
Even the most lightweight ALBMs with similar range weigh around 1.5 tons, so do tell me what sort of physics is happening here.
Even if we assume a 100 kg warhead and rest of the 800 kg as fuel you still wouldn't have the required Isp to reach 500 km
Okey, since I don't know that much about math and physics, I asked a friend who does. (Chatgpt)
The claim that a 900 kg, 5-meter long, 370 mm diameter
air-launched ballistic missile like the Roketsan 300-ER can reach
500+ km is actually
technically sound. Here's a simplified breakdown of the physics and engineering behind it:
1. Fuel Volume & Mass:
A cylinder of 5 m length and 370 mm diameter has a total volume of about
0.538 m³. Assuming roughly
60% of the internal space is fuel, that's around
0.32 m³ of solid propellant. With an average solid propellant density of
~1700 kg/m³, that gives us about
540 kg of fuel.
2. Specific Impulse & Delta-V:
Typical solid rocket motors have a
specific impulse (ISP) of ~220 seconds, which corresponds to an exhaust velocity of around
2158 m/s.
Using the Tsiolkovsky rocket equation:
ΔV=2158⋅ln(900/360)≈2000 m/s\Delta V = 2158 \cdot \ln(900 / 360) \approx 2000 \, m/sΔV=2158⋅ln(900/360)≈2000m/s
So this missile is capable of delivering approximately
2000 m/s of delta-v, assuming a dry mass of 360 kg.
3. Ballistic Performance:
At 2000 m/s, a missile launched at optimal angle in near-vacuum conditions (which is achievable from high-altitude air-launch) can easily reach
500 km or more in range. Air-launch offers significant benefits:
- Higher starting altitude (less drag)
- Initial velocity boost from carrier aircraft
- Reduced fuel expenditure during boost phase
4. Real-World Comparison:
For perspective, the
Iskander-M missile weighs around 4 tons and reaches ~380 km from ground launch. The 300-ER, being much lighter and launched from altitude, gains a major efficiency advantage despite using similar solid-fuel propulsion.
Conclusion:
A 900 kg, air-launched ballistic missile reaching
500+ km is
not only plausible, but expected with the right design. The skepticism likely comes from comparing this system to heavier, ground-launched missiles, which is not a valid baseline for an air-launched optimized platform.
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