๐Ÿ”ญ Astronomy Calculator

Orbital Speed
Calculator

Calculate the exact speed a spacecraft, satellite, or moon must travel to maintain a stable circular orbit around any body.

๐Ÿ“ Formula
v = โˆš(G ร— M / r)
v = Orbital speed in metres per second (m/s)
G = Gravitational constant โ€” 6.674 ร— 10โปยนยน Nยทmยฒ/kgยฒ
M = Mass of the central body (kg)
r = Orbital radius โ€” distance from centre of body (m)
๐Ÿ›ฐ๏ธ Orbital Speed Calculator
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What is Orbital Speed?

Orbital speed is the exact velocity an object must maintain to stay in a stable circular orbit. Too slow and gravity pulls the object inward; too fast and it escapes into space. At precisely the right speed, the object continuously "falls" around the planet.

Relationship to escape velocity

Orbital speed and escape velocity are closely related. Escape velocity is always exactly โˆš2 (about 1.414) times greater than orbital speed at the same altitude. So if you know one, you can calculate the other.

๐Ÿ›ธ ISS orbital speed: The International Space Station orbits at 7.66 km/s (27,576 km/h) at an altitude of about 408 km. At this speed it completes one full orbit every 92 minutes โ€” meaning astronauts see 16 sunrises every day.

Why do higher orbits move slower?

Counterintuitively, satellites in higher orbits travel slower than those in lower orbits. Geostationary satellites at 35,786 km orbit at only about 3.07 km/s, while the ISS at 408 km travels at 7.66 km/s. Higher orbits take much longer to complete.

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