Free Geostationary Orbit Calculator

Compute the geostationary orbit altitude and speed for any planet given its mass and rotation period.

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

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.

Example Calculation

Find Earth's geostationary orbit.

  1. 01r = (G M T² / 4π²)^(1/3)
  2. 02G M T² = 3.986e14 × (86164)² = 2.960e23
  3. 03r = (2.960e23 / 39.478)^(1/3) ≈ 42 164 km
  4. 04Altitude = 42 164 - 6 371 = 35 793 km
  5. 05Speed = 2π × 42 164 000 / 86 164 ≈ 3 075 m/s

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