Calcolatore Velocita Orbitale
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Velocita Orbitale
7,672.32 m/s
Orbital Velocity vs Orbital Radius
Formula
## How Orbital Velocity Is Found For a circular orbit the gravitational pull provides exactly the centripetal force needed. ### Formula **v = √(G M / r)** - *G* = 6.674e-11 N m² kg⁻² - *M* = central body mass - *r* = orbital radius (centre-to-centre) Higher orbits are slower; lower orbits are faster.
Esempio Risolto
Find the speed of the ISS at about 400 km altitude (r = 6 771 km).
- 01v = √(G M / r)
- 02G M = 6.674e-11 × 5.972e24 = 3.986e14
- 03v = √(3.986e14 / 6.771e6) = √(5.887e7)
- 04v ≈ 7 673 m/s ≈ 7.67 km/s
Domande Frequenti
Why do lower orbits have higher speeds?
Closer to the central body gravity is stronger, requiring faster motion to maintain a circular path. Speed scales as 1/√r.
Does this work for elliptical orbits?
For an elliptical orbit use the vis-viva equation v = √(G M (2/r - 1/a)). The circular formula is a special case where r = a.
What is the orbital velocity of the Moon?
About 1.022 km/s, consistent with its large orbital radius of roughly 384 400 km.