कक्षीय वेग कैलकुलेटर
कक्षीय वेग की गणना करें।
m
kg
कक्षीय वेग
7,672.32 m/s
Velocity (km/s)7.6723 km/s
Orbital Velocity vs Orbital Radius
सूत्र
How Orbital Velocity Is Found
For a circular orbit the gravitational pull provides exactly the centripetal force needed.
Formula
v = √(G M / r)
Higher orbits are slower; lower orbits are faster.
हल किया गया उदाहरण
Find the speed of the ISS at about 400 km altitude (r = 6 771 km).
- 01v = √(G M / r)
- 02G M = 6.674e-11 × 5.972e24 = 3.986e14
- 03v = √(3.986e14 / 6.771e6) = √(5.887e7)
- 04v ≈ 7 673 m/s ≈ 7.67 km/s
अक्सर पूछे जाने वाले प्रश्न
Why do lower orbits have higher speeds?
Closer to the central body gravity is stronger, requiring faster motion to maintain a circular path. Speed scales as 1/√r.
Does this work for elliptical orbits?
For an elliptical orbit use the vis-viva equation v = √(G M (2/r - 1/a)). The circular formula is a special case where r = a.
What is the orbital velocity of the Moon?
About 1.022 km/s, consistent with its large orbital radius of roughly 384 400 km.