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)
How to Calculate Orbital Energy?
The following example problems outline the steps and information needed to calculate the 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)
