Calculateur de Vitesse Orbitale Gratuit
Calculez la vitesse orbitale à partir de la masse du corps central et du rayon de l'orbite.
kg
m
Vitesse orbitale
7,672.49 m/s
Période orbitale5,545 s
Orbital Velocity vs Mass of Central Body
Formule
Orbital Velocity
For a circular orbit, gravitational force provides the centripetal force.
Derivation
Setting G*M*m/r² = m*v²/r and solving:
v = sqrt(G * M / r)
The orbital period is T = 2*pi*r / v.
Exemple Résolu
Low Earth orbit at 400 km altitude (r = 6,371 + 400 = 6,771 km).
- 01v = sqrt(G * M / r)
- 02v = sqrt(6.6743e-11 * 5.972e24 / 6.771e6)
- 03v = sqrt(5.888e7)
- 04v ≈ 7,674 m/s
- 05T = 2*pi*r / v ≈ 5,541 s ≈ 92.3 minutes
Questions Fréquentes
How is orbital velocity related to escape velocity?
Escape velocity is sqrt(2) times orbital velocity at the same radius: v_escape = sqrt(2) * v_orbital.
Does a satellite in orbit need fuel to stay in orbit?
In an ideal vacuum, no. In low Earth orbit, atmospheric drag gradually slows the satellite, requiring periodic boosts.
What happens if an orbiting object speeds up?
It moves to a higher orbit. If it reaches escape velocity, it leaves the gravitational field entirely.
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