Orbital Velocity Calculator

The velocity of an object which is needed to be continuously orbiting around a body such as satellite or a star is known as orbital velocity.

The object could be considered anything from an artificial satellite orbiting around a planet, a planet orbiting around a start etc.

We can calculate the orbital velocity with the help of this below formula:

Orbital Velocity Formula

Vorbit = Orbital velocity [km/s]
G = Gravitational constant [m3/s2 kg]
M = Mass of the body at center [kg]
R = Radius of the orbit [m]

Calculating Orbital Velocity

Let us understand how to calculate the orbital velocity with a simple example.

Example: A satellite is orbiting around a planet where the radius of the planet is found to be 7.68 x 107 m, gravitational constant is 7.12 x 10-9 m3/s2 kg and mass of the planet is found to be 6.45 x 1022 kg. Find the orbital velocity.

Gravitational Constant = 7.12 x 10-9 m3/s2 kg
Mass = 6.45 x 1022 kg
Radius = 7.68 x 107 m

We know the formula to calculate orbital velocity $V_{orbit}$ = $\sqrt{\frac{GM}{R}}$

Insert the given values onto the formula = $\sqrt{\frac{7.12 \times 10^{-9} \times 6.45 \times 10^{22}}{7.68 \times 10^7}}$

= $\sqrt{5.97 \times 10^6}$

= 2.445 km/s

In the below online orbital velocity calculator, enter the parameters and then click calculate button to find the answer.

Gravitational Constant (G): [m3/s2 kg]
Mass of the body at center (M): [kg]
Radius of the Orbit (R): [m]
Orbital Velocity (Vorbit): [km/s]

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