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Rocket Equation Calculator

Calculate delta-v from the Tsiolkovsky rocket equation using mass ratio and exhaust velocity. Enter values for instant results with step-by-step formulas.

Reviewed by Daniel Agrici, Founder & Lead Developer

Reviewed by Daniel Agrici, Founder & Lead Developer

Formula

ฮ”v = vโ‚‘ ร— ln(mโ‚€/mโ‚)

The Tsiolkovsky rocket equation relates delta-v to exhaust velocity and mass ratio. vโ‚‘ = Isp ร— gโ‚€. Higher mass ratio = more delta-v but diminishing returns.

Worked Examples

Example 1: Simple rocket

Problem:vโ‚‘=3000 m/s, wet=100,000 kg, dry=10,000 kg

Solution:ฮ”v = 3000 ร— ln(10) = 3000 ร— 2.303 = 6908 m/s

Result:6,908 m/s

Reviewed by Daniel Agrici, Founder & Lead Developer ยท Editorial policy