Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown:                  T2 = (2π/ G ME) r3 Where G = Universal Constant of Gravitation and ME is the mass of the earth.  A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.

icon
Related questions
Question

Kepler’s Law relates the period T ( in a sec) of a satellite to the distance from the center of the earth r (in m) to some physical constants as shown:

 

               T2 = (2π/ G ME) r3

Where G = Universal Constant of Gravitation and ME is the mass of the earth.  A stationary satellite is one that circles the earth in a circular orbit but stays exactly above the same spot on the earth. Calculate the distance above the earth in m for this “geo-synchronous satellite” to orbit, then convert that height to miles.

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer