# 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:***where,*V

_{orbit} = Orbital velocity [km/s]

G = Gravitational constant [m

^{3}/s

^{2} 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 10

^{7} m, gravitational constant is 7.12 x 10

^{-9} m

^{3}/s

^{2} kg and mass of the planet is found to be 6.45 x 10

^{22} kg. Find the orbital velocity.

**Solution:**Given:

Gravitational Constant = 7.12 x 10

^{-9} m

^{3}/s

^{2} kg

Mass = 6.45 x 10

^{22} kg

Radius = 7.68 x 10

^{7} 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.

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