Calculateur de Vitesse OrbitaleFormule

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.

    Exemple Résolu

    Find the speed of the ISS at about 400 km altitude (r = 6 771 km).

    1. v = √(G M / r)
    2. G M = 6.674e-11 × 5.972e24 = 3.986e14
    3. v = √(3.986e14 / 6.771e6) = √(5.887e7)
    4. v ≈ 7 673 m/s ≈ 7.67 km/s