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Orbital Speed Calculator

🪐 Gravity & circular motion. Use the Orbital speed formula to find orbital speed, planet mass, orbit radius: pick the value you want, type the others, and the answer updates as you go.

v=GMrv = \sqrt{\dfrac{GM}{r}}

Default: the International Space Station, 420 km up.

Orbital speed7660.3 m/s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Orbital speedm/s
Planet masskg
Orbit radiusm

Worked example

Find the orbital speed when Planet mass = 5.97 × 10²⁴ kg, Orbit radius = 6.79 × 10⁶ m.

Using v = √(GM/r): Orbital speed = 7660.3 m/s.

Frequently asked questions

What is the formula for Orbital speed?

v = √(GM/r). Default: the International Space Station, 420 km up.

What do the letters stand for, and what units are used?

Orbital speed in m/s, Planet mass in kg, Orbit radius in m.

How do you calculate orbital speed?

Put the values into v = √(GM/r). For example, with Planet mass = 5.97 × 10²⁴ kg, Orbit radius = 6.79 × 10⁶ m, orbital speed = 7660.3 m/s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (orbital speed, planet mass, orbit radius) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas