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## Homework Statement

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

## Homework Equations

GM/r=v^2

r=R+h

## The Attempt at a Solution

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.

Are my calculations incorrect?