Geosychoronous Satellites and their KE/Orbitals

Thread starter AryRezvani
Start date Nov 8, 2012
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Satellites

AI Thread Summary

The discussion revolves around proving that the product of the kinetic energy and orbital radius of a geosynchronous satellite remains constant. The kinetic energy formula provided is KE = ½mGM/R, which relates the satellite's mass, gravitational constant, and orbital radius. Participants express confusion about how to approach the proof and the requirements for a geosynchronous orbit, which must be circular and synchronized with the Earth's rotation. Clarification on the relationship between kinetic energy and orbital radius is sought. Understanding these concepts is essential for solving the homework problem effectively.

Nov 8, 2012

AryRezvani

Homework Statement

Prove that the product of the kinetic energy and orbital radius of a geosynchronous satellite is constant.

Homework Equations

Not sure on the orbital radius part

KE=KE = ½mGM/R

The Attempt at a Solution

I'm lost on where to begin. How exactly would I 'prove' it?

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Nov 8, 2012

AryRezvani

Bump!

Nov 8, 2012

gneill

Mentor

What shape must an orbit have if it is geosynchronous?

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