地球静止轨道计算器
使用此地球静止轨道计算器快速获得准确的计算结果。
kg
s
m
Orbit Radius
42,163.1 km
Altitude Above Surface35,792.1 km
Orbital Speed3,074.59 m/s
Orbit Radius vs Rotation Period
公式
## 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.
计算示例
Find Earth's geostationary orbit.
- 01r = (G M T² / 4π²)^(1/3)
- 02G M T² = 3.986e14 × (86164)² = 2.960e23
- 03r = (2.960e23 / 39.478)^(1/3) ≈ 42 164 km
- 04Altitude = 42 164 - 6 371 = 35 793 km
- 05Speed = 2π × 42 164 000 / 86 164 ≈ 3 075 m/s
常见问题
Why must geostationary orbits be equatorial?
Only an equatorial orbit keeps the satellite stationary relative to the surface. An inclined orbit traces a figure-eight.
Geosynchronous vs geostationary?
Geosynchronous means the period matches rotation. Geostationary adds zero inclination and zero eccentricity.
Can every planet have one?
In principle yes. Fast-spinning planets have lower altitudes; slow rotators have much higher ones.