How to use the tsiolkovsky rocket equation calculator
Find the delta-v of a rocket from its mass ratio. Enter exhaust velocity, initial mass, final mass in the fields above; the delta-v, delta-v are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- ve — Exhaust velocity (m/s)
- m0 — Initial mass (kg)
- mf — Final mass (kg)
Worked example
With exhaust velocity = 3500 m/s, initial mass = 500000 kg, final mass = 100000 kg, the calculator gives delta-v ≈ 5,633.033 m/s; delta-v ≈ 5.633033 km/s.
Frequently asked questions
What is the formula for the tsiolkovsky rocket equation calculation?
Delta-v (m/s) = ve × ln(m0 / mf). Delta-v (km/s) = [Delta-v] / 1000. Here ve is exhaust velocity (m/s), m0 is initial mass (kg), mf is final mass (kg).
What inputs do I need for the tsiolkovsky rocket equation calculator?
You need exhaust velocity in m/s, initial mass in kg, final mass in kg. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.