Calculateur d'Orbite Géostationnaire — Formule
## Geostationary Orbit
A geostationary orbit has a period equal to the planet's rotation, so the satellite appears fixed above one equatorial spot.
### Formula
**r = (G M T² / 4π²)^(1/3)**
For Earth: T = 86 164 s (sidereal day), giving r ≈ 42 164 km, altitude ≈ 35 786 km.
A geostationary orbit has a period equal to the planet's rotation, so the satellite appears fixed above one equatorial spot.
### Formula
**r = (G M T² / 4π²)^(1/3)**
For Earth: T = 86 164 s (sidereal day), giving r ≈ 42 164 km, altitude ≈ 35 786 km.
Exemple Résolu
Find Earth's geostationary orbit.
- r = (G M T² / 4π²)^(1/3)
- G M T² = 3.986e14 × (86164)² = 2.960e23
- r = (2.960e23 / 39.478)^(1/3) ≈ 42 164 km
- Altitude = 42 164 - 6 371 = 35 793 km
- Speed = 2π × 42 164 000 / 86 164 ≈ 3 075 m/s