Flight Path Calculation for Model Rockets
"Learn how to calculate the flight path of a simple model rocket launched from a planet using variations of the Runge-Kutta method. Explore rocket and planet parameters, stages of flight, and equations involved in the process."
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Presentation Transcript
Rudimentary Rockets Lauren Koch
Calculates the flight path of a simple model rocket launched from a planet Rocket parameters: rocket mass, fuel mass, burn rate, velocity of fuel ejection, drag coefficient, reference area Planet parameters: mass, radius, molar mass of atmosphere, average temperature, surface pressure Variations on the Runge-Kutta method are applied for each stage
Stage 1 Proceeds until fuel is exhausted dvdt = (Fth Fg Fd)/M(t) Compared against the Tsiolkovsky rocket equation Stage 2 Proceeds until maximum vertical height is achieved dvdt = (-Fg Fd)/M Stage 3 Proceeds until the rocket returns to the ground dvdt = (-Fg + Fd)/M
Rocket parameters 10,000 kg rocket 10,000 kg fuel 100 kg/s burn rate 7000 m/s fuel ejection velocity 0.5 drag coefficient 10 m2 reference area Planet parameters (Earth) 0.0286 molar mass of atmospheric gas 282.32 K average temperature 101,325 Pascal surface pressure
