गुरुत्वीय सहायता गति कैलकुलेटर
गुरुत्वीय सहायता (ग्रैविटी असिस्ट) से गति लाभ निकालें।
Max Speed Change
18,483.77 m/s
Max Speed Change vs Planet Orbital Velocity
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.
हल किया गया उदाहरण
Jupiter flyby: v_planet = 13 070 m/s, bending angle = 90 degrees.
- 01dv = 2 * v_planet * sin(theta/2)
- 02dv = 2 * 13070 * sin(45 deg)
- 03dv = 26140 * 0.7071
- 04dv = 18 483 m/s = 18.48 km/s
अक्सर पूछे जाने वाले प्रश्न
Does the planet lose energy in a gravity assist?
Yes, but by an immeasurably tiny amount. The planet's enormous mass makes its velocity change negligible.
Can gravity assists slow a spacecraft down?
Yes. By flying in front of the planet (against its orbital motion), the spacecraft transfers energy to the planet and slows down. This was used by Messenger at Venus.
Why is Jupiter the best planet for gravity assists?
Jupiter has the highest orbital velocity times the largest gravity well, offering the most speed change per flyby.