Orbital Kinetic Energy Calculator

Formula

The formula to calculate the Orbital Kinetic Energy (Eo) is:

\[ Eo = (w \cdot r)^2 \cdot m \]

Where:

\( Eo \) is the Orbital Kinetic Energy (J)
\( w \) is the Orbital Angular Velocity (rad/s)
\( r \) is the Radius of Orbit (m)
\( m \) is the Mass (kg)

What is Orbital Kinetic Energy?

Orbital kinetic energy refers to the energy possessed by an object due to its motion along an orbital path. It is a crucial concept in astrophysics and orbital mechanics, helping to understand the dynamics of satellites, planets, and other celestial bodies. The orbital kinetic energy depends on the object's mass, the radius of its orbit, and its angular velocity.

Example Calculation

Let's assume the following values:

Orbital Angular Velocity (w) = 0.1 rad/s
Radius of Orbit (r) = 1000 m
Mass (m) = 500 kg

Using the formula to calculate the Orbital Kinetic Energy:

\[ Eo = (0.1 \cdot 1000)^2 \cdot 500 = (100)^2 \cdot 500 = 10000 \cdot 500 = 5000000 \text{ J} \]

The Orbital Kinetic Energy is 5000000 J.