免费轨道速度计算器
计算在给定轨道半径上的圆轨道速度。
kg
m
轨道速度
7,672.49 m/s
轨道周期5,545 s
Orbital Velocity vs Mass of Central Body
公式
## 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**.
计算示例
Low Earth orbit at 400 km altitude (r = 6,371 + 400 = 6,771 km).
- 01v = sqrt(G * M / r)
- 02v = sqrt(6.6743e-11 * 5.972e24 / 6.771e6)
- 03v = sqrt(5.888e7)
- 04v ≈ 7,674 m/s
- 05T = 2*pi*r / v ≈ 5,541 s ≈ 92.3 minutes
常见问题
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.
学习