Orbital Geschwindigkeits Rechner — Formel
## Orbital Velocity
For a circular orbit, gravitational force provides the centripetal force.
### Derivation
Setting G*M*m/r² = m*v²/r and solving:
**v = sqrt(G * M / r)**
The orbital period is **T = 2*pi*r / v**.
For a circular orbit, gravitational force provides the centripetal force.
### Derivation
Setting G*M*m/r² = m*v²/r and solving:
**v = sqrt(G * M / r)**
The orbital period is **T = 2*pi*r / v**.
Lösungsbeispiel
Low Earth orbit at 400 km altitude (r = 6,371 + 400 = 6,771 km).
- v = sqrt(G * M / r)
- v = sqrt(6.6743e-11 * 5.972e24 / 6.771e6)
- v = sqrt(5.888e7)
- v ≈ 7,674 m/s
- T = 2*pi*r / v ≈ 5,541 s ≈ 92.3 minutes