d = radius of the orbit

g₀ = 398600.5 km³/s²

Here,  g₀ is the Standard Gravitational Parameter of Earth

g₀ = G (M+m) ≈ GM = 398600.5 km3/s2

where,

• G is the Gravitational Constant
• M & m are the Masses of the two objects (i.e., earth and satellite in this calculator)

Note: The radius of a MEO orbit is approximately between 2000 km and 35786 km. So, the satellites in the MEO orbit are placed in between the given range.

Formula Derivation: 

The angular velocity of a satellite is:

W = 2π / T.........................................................................................(equation 1)

The Orbital Time, T of a satellite is: 

T = 2πd^3/2 / √g_{0  .........................................................................................................}(equation 2) 

Substitute the equation of orbital time in angular velocity then:

W = 2π * √ g₀/ 2πd^3/2

W = √ g₀ / d^3/2

Note: The radius of a LEO orbit is approximately 2000 km or less, above the Earth's surface.

Consider the radius of the orbit, d = 500 km

Then the angular velocity of the satellite, W = √ g₀ / d^3/2

= √ 398600.5  / 500^3/2

= 0.0564695 rad/sec