Geostationary Orbit Calculator
Compute synchronous orbit radius r = (GM T²/4π²)^{1/3}.
Input Data
Input Rotation period T.
s
Input Central mass M.
kg
Results
42,163,743.57m
r = (GM T²/4π²)^{1/3} = 42163743.57 m
At a glance:Geostationary Orbit Calculator: enter parameters to compute results; complements related calculators.
Formula
r = (G M T² / 4π²)^{1/3}
G=6.67430×10⁻¹¹, T: rotation period
How to Use
- Enter rotation period T (sidereal day, Earth≈86164 s).
- Enter central mass M.
- Get synchronous orbit radius r.
Case Studies
Earth
T=86164 s, M=5.972×10²⁴ kg → r≈4.216×10⁷ m (≈42164 km).
FAQ
Why sidereal day?
Synchrony is against inertial space, so use the sidereal day, not solar.
Related Tools
References
Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.