Question

How to find the height of geostationary satellite?

Answer 1

Answer:

Calculate the height of a geo-stationary satellite of earth.

Gravitational force of earth=6.667 x 10^-11 nm^2/kgm^2 Mass of earth=6x10^24 kgm Radius of earth=6400 km V=86400

GM/r=v^2 r=R+h

I plugged everything into the equation and got 53,583.6 for r. Then since I need only height of the satellite to earth, I subtracted 6400 km from 53,583.6 and I got 47,183 for h. However, my professor said the answer for r should be around 36,000 km. Here is what I did. (6.667x10^-11)(6x10^24)/r=86400^2 From multiplying, I got 4x10^14/r=7464960000 From this, I got r=53,583.6 Then h=47,183

Explanation:

I hope this helps