Proof of angular speed of satellite

[Miklagaard]

Homework Statement

http://img577.imageshack.us/img577/5457/gmblrekp.th.jpg

Homework Equations

The Attempt at a Solution

Proof was asked from me. How do i proof it.

In "w^2 sub. uydu", uydu means satellite.

 

[gneill]

What do you know about circular motion? In particular, about centripetal acceleration?

 

[SammyS]

Homework Statement

http://img577.imageshack.us/img577/5457/gmblrekp.th.jpg

The problem is to show that the orbital angular momentum of a geostationary satellite is given by $$\omega^2=G{{M}\over{R^{\,3}}}\,,$$ where G is the gravitational constant, M is the mass of the earth, and R is the radius of the orbit.

Homework Equations

The Attempt at a Solution

Proof was asked from me. How do i proof it.

In "w^2 sub. uydu", uydu means satellite.

Use Newton's 2nd Law. Equate the gravitational force on the satellite to the product of the satellite's mass times its centripetal acceleration.