Enter the orbital angular velocity (rad/s), the radius of orbit (m), and the mass (kg) into the calculator to determine the Orbital Energy.

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## Orbital Energy Formula

The following equation is used to calculate the Orbital Energy.

Eo = (w*r)^2*m

- Where Eo is the Orbital Energy (J)
- w is the orbital angular velocity (rad/s)
- r is the radius of orbit (m)
- m is the mass (kg)

To calculate orbital energy, square the product of the orbital velocity and the radius, then multiply the result by the mass.

## How to Calculate Orbital Energy?

The following example problems outline the steps and information needed to calculate Orbital Energy.

**Example Problem #1**

- First, determine the orbital angular velocity (rad/s). In this example, the orbital angular velocity (rad/s) is determined to be 58.
- Next, determine the radius of orbit (m). For this problem, the radius of orbit (m) is measured to be 49.
- Next, determine the mass (kg). In this case, the mass (kg) is found to be 39.
- Finally, calculate the Orbital Energy using the formula above:

Eo = (w*r)^2*m** = **(J)

Inserting the values from above and solving the equation yields:

Eo = (58*49)^2*39 = 315001596 Joules

**Example Problem #2**

Using the same method as above, first, we need to measure or determine the variables required by the equation. For this example problem, these are provided as follows:

orbital angular velocity (rad/s) = 959

radius of orbit (m) = 295

mass (kg) = 430

Enter these given values into the calculator or above yields:

Eo = (959*295)^2*430 = 3.4415153e+13** **(J)