Rocket Equation & ΔV Calculator Back EN · ZH
Propulsion Engineering

Rocket Equation & Delta-V Calculator

Tsiolkovsky rocket equation for single and multi-stage rockets. Real-time ΔV vs mass ratio curve, per-stage contribution chart. Presets for LEO, GTO, Moon landing, Mars transfer.

Parameters
Presets
Multi-stage mode
Specific impulse Isp [s] 300
Solid ~250 / Kerosene ~320 / LH₂ ~450
Initial mass m₀ [kg] 10000
Final (dry) mass m_f [kg] 2000
Dry mass (excluding propellant)
Gravity losses [m/s] 1200
Drag losses [m/s] 150
Total ΔV [m/s]
Net ΔV [m/s]
Mass ratio m₀/m_f
Propellant fraction

Theory

Tsiolkovsky rocket equation (single stage):

$$\Delta v = I_{sp}\, g_0 \ln\!\left(\frac{m_0}{m_f}\right)$$

Multi-stage rocket (sum of stages):

$$\Delta v_{total} = \sum_{i} I_{sp,i}\, g_0 \ln\!\left(\frac{m_{0,i}}{m_{f,i}}\right)$$

$g_0 = 9.80665\ \text{m/s}^2$, specific impulse $I_{sp}$ in [s]

Astrodynamics applications: Hohmann transfer ΔV budgeting / multi-stage propellant mass optimization / propulsion system selection (solid/liquid/electric) / mission analysis in GMAT or STK.