Rocket Delta-V Rechner — Formel
## 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.
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.
Lösungsbeispiel
ve = 3000 m/s, m0 = 100 000 kg, mf = 10 000 kg.
- dv = ve * ln(m0 / mf)
- mass ratio = 100000 / 10000 = 10
- dv = 3000 * ln(10)
- dv = 3000 * 2.3026 = 6907.8 m/s