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Konstantin Tsiolkovsky's Rocket Equation |
One of the most important equations you will encounter in rocketry is Konstantin Tsiolkovsky's “Rocket Equation”; given below.
Δv = Ve * ln(Mb / Me)
Equation Explained
Δv = Final Velocity (Delta-vee) of the rocket in meters per second.
Ve: Velocity of the rocket's exhaust in meters per second.
Mb: Total mass of the rocket fully loaded (with payload, propellant, etc) in kilograms.
Me: Empty mass of the rocket at burnout with all propellant expended in kilograms.
Converting ISP into m/sec:
Unfortunately, most rocket engine performance levels are given in ISP, not in exhaust velocity. You can however convert ISP into exhaust velocity with the following equation:
Ev = ISP * 9.81
Equation Explained
Ev = Exhaust Velocity of the engine in meters per second.
ISP = Specific Impulse of the engine.