Free Mission Fuel Mass Calculator
Calculate the fuel mass required for a mission: m_fuel = m_dry * (exp(dv / ve) - 1).
kg
m/s
m/s
Required Fuel Mass
8,591.41 kg
Total Launch Mass13,591.41 kg
Fuel Fraction0.632121
Required Fuel Mass vs Dry Mass (payload + structure)
Mission Fuel Mass
From the Tsiolkovsky equation, the fuel needed for a given delta-v depends exponentially on the ratio dv/ve.
Formula
m_fuel = m_dry * (exp(dv / ve) - 1)
This shows why high delta-v missions are so demanding on fuel.
Example Calculation
5000 kg dry mass, 3000 m/s delta-v, 3000 m/s exhaust velocity.
- 01m_fuel = m_dry * (exp(dv/ve) - 1)
- 02dv/ve = 3000/3000 = 1
- 03exp(1) = 2.7183
- 04m_fuel = 5000 * (2.7183 - 1) = 5000 * 1.7183
- 05m_fuel = 8591 kg