Calculadora de Velocidad por Asistencia GravitatoriaFórmula

Gravity Assist (Slingshot) Effect

A spacecraft flying past a planet can gain or lose speed by exchanging momentum with the planet.

Maximum Speed Change

dv = 2 * v_planet * sin(theta/2)

  • *v_planet* = planet's orbital velocity around the Sun
  • *theta* = total bending angle of the flyby trajectory
  • The theoretical maximum (theta = 180 degrees) gives dv = 2 * v_planet.

    Ejemplo Resuelto

    Jupiter flyby: v_planet = 13 070 m/s, bending angle = 90 degrees.

    1. dv = 2 * v_planet * sin(theta/2)
    2. dv = 2 * 13070 * sin(45 deg)
    3. dv = 26140 * 0.7071
    4. dv = 18 483 m/s = 18.48 km/s