Gravity Assist Speed Calculator — सूत्र
## 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.
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.
हल किया गया उदाहरण
Jupiter flyby: v_planet = 13 070 m/s, bending angle = 90 degrees.
- dv = 2 * v_planet * sin(theta/2)
- dv = 2 * 13070 * sin(45 deg)
- dv = 26140 * 0.7071
- dv = 18 483 m/s = 18.48 km/s