Calculadora de Velocidad Orbital

Calcula la velocidad orbital para una órbita circular alrededor de un cuerpo celeste. Ingresa la masa central y el radio orbital para el resultado.

kg
m

Velocidad Orbital

7,672.49 m/s

Período Orbital5,545 s

Orbital Velocity vs Mass of Central Body

Fórmula

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.

Ejemplo Resuelto

Low Earth orbit at 400 km altitude (r = 6,371 + 400 = 6,771 km).

  1. 01v = sqrt(G * M / r)
  2. 02v = sqrt(6.6743e-11 * 5.972e24 / 6.771e6)
  3. 03v = sqrt(5.888e7)
  4. 04v ≈ 7,674 m/s
  5. 05T = 2*pi*r / v ≈ 5,541 s ≈ 92.3 minutes

Preguntas Frecuentes

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.

Aprender

Understanding Newton's Laws of Motion

Calculadoras Relacionadas