Free Rocket Delta-V Calculator

Calculate the total delta-v a rocket can achieve from the Tsiolkovsky equation: dv = ve * ln(m0 / mf).

m/s
kg
kg

Delta-V

6,907.76 m/s

Delta-V (km/s)6.9078 km/s
Mass Ratio10.0000

Delta-V vs Exhaust Velocity (ve)

Rocket Delta-V (Tsiolkovsky Equation)

Delta-v is the total change in velocity a rocket can achieve by expelling all its propellant.

Formula

dv = ve * ln(m0 / mf)

  • *ve* = effective exhaust velocity
  • *m0* = initial (wet) mass
  • *mf* = final (dry) mass
  • *ln* = natural logarithm
  • The logarithmic dependence means that most of a rocket's mass must be propellant to achieve high delta-v.

    Example Calculation

    ve = 3000 m/s, m0 = 100 000 kg, mf = 10 000 kg.

    1. 01dv = ve * ln(m0 / mf)
    2. 02mass ratio = 100000 / 10000 = 10
    3. 03dv = 3000 * ln(10)
    4. 04dv = 3000 * 2.3026 = 6907.8 m/s

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