Calculadora de Delta-V de Foguete
Calcule o delta-v de um foguete usando a equação de Tsiolkovsky.
Delta-V
6,907.76 m/s
Delta-V vs Exhaust Velocity (ve)
Formula
## 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.
Exemplo Resolvido
ve = 3000 m/s, m0 = 100 000 kg, mf = 10 000 kg.
- 01dv = ve * ln(m0 / mf)
- 02mass ratio = 100000 / 10000 = 10
- 03dv = 3000 * ln(10)
- 04dv = 3000 * 2.3026 = 6907.8 m/s
Perguntas Frequentes
Why is the rocket equation logarithmic?
Because the rocket must accelerate its remaining fuel. The heavier you are, the less efficient each kilogram of fuel becomes, leading to diminishing returns.
What delta-v is needed to reach orbit?
Low Earth orbit requires about 9.4 km/s including gravity and drag losses. The theoretical minimum is about 7.8 km/s.
How does staging help?
Staging discards empty tanks, reducing dry mass. Each stage starts fresh with a better mass ratio, achieving more total delta-v.