Gravitation and Circular Orbits

[kevi555]

Just a question about gravitation equations:

Neglecting Earth's rotation, show that the energy needed to launch a satellite of mass m into circular orbit at altitude h is equal to:

$$(\frac {GMm}{R})(\frac{R+2h}{2(R+h)})$$

Where R = the radius of the Earth and M = the mass of the Earth.

Any help would be truly appreciated! Thanks all.

 

[G01]

This sounds like a homework problem. Have you put any thought into this problem? If you have tell us what you tried. You need to show some work to get help with homework type problems.Also, for homework type questions, please post them in the homework sections, not the science forums, since these are meant more for discussion in the topic area and non homework type problems (conceptual questions and questions that do not seem to come from a textbook).