Rocket Equation Calculator

Calculate rocket performance using the Tsiolkovsky rocket equation. Compute delta-v, fuel requirements, and mission parameters for space exploration.

Δv = Isp · g0 · ln(m0 / mf)
Calculation Mode
s
Please enter a value between 1 and 10000 seconds
Engine efficiency in seconds. Typical values: 250-450 s
m/s²
Please enter a valid gravity value
Standard gravity constant (Earth: 9.80665 m/s²)
Initial mass must be greater than 0
Total mass with fuel (wet mass)
Final mass must be greater than 0 and less than initial mass
Mass without fuel (dry mass)
Mission Presets
Calculate total Δv for multiple rocket stages
Calculating...

Multi-stage Rocket Calculation

Real rockets use multiple stages to improve performance. When a stage burns out, it's jettisoned, reducing the mass that subsequent stages need to accelerate. The total Δv is the sum of each stage's Δv.

Δvtotal = Δvstage1 + Δvstage2 + ... + ΔvstageN

Advantages of multi-stage rockets:

  • Higher total Δv compared to single-stage rockets
  • Reduced structural mass as stages are discarded
  • Ability to optimize each stage for specific flight conditions
  • Improved payload fraction

Common Rocket Configurations

Rocket Stages Stage 1 Δv Stage 2 Δv Stage 3 Δv Total Δv
Saturn V 3 3,500 m/s 4,500 m/s 4,700 m/s 12,700 m/s
Falcon 9 2 3,000 m/s 6,400 m/s - 9,400 m/s
Soyuz 3 3,200 m/s 4,100 m/s 2,100 m/s 9,400 m/s