Calculadora da Equação de Tsiolkovsky — Formula
## Tsiolkovsky Equation: Mass Ratio Form
Given a target delta-v and an engine's exhaust velocity, this tells you how massive the rocket must be at launch relative to its dry mass.
### Formula
**m0/mf = exp(dv / ve)**
The fuel fraction is 1 - 1/(m0/mf). For orbital velocity (9.4 km/s) with a 3 km/s exhaust, over 95% of the rocket must be propellant.
Given a target delta-v and an engine's exhaust velocity, this tells you how massive the rocket must be at launch relative to its dry mass.
### Formula
**m0/mf = exp(dv / ve)**
The fuel fraction is 1 - 1/(m0/mf). For orbital velocity (9.4 km/s) with a 3 km/s exhaust, over 95% of the rocket must be propellant.
Exemplo Resolvido
Reach LEO (dv = 9400 m/s) with ve = 3000 m/s.
- m0/mf = exp(dv / ve)
- m0/mf = exp(9400 / 3000)
- m0/mf = exp(3.133) = 22.94
- Fuel fraction = 1 - 1/22.94 = 0.9564 = 95.64%