Speed of satellite in geosynchronous orbit

1. The problem statement, all variables and given/known data
Derive an equation and solve for the speed of a satellite in geosynchronous orbit. You may NOT use the value of the satellite’s altitude or radius in your calculations. If you do, you will receive no credit.

  • You should use your knowledge of forces and uniform circular motion for this assignment.
  • DO NOT use the rotational kinematics from chapter 10. If you do you will receive NO credit.
  • DO NOT attempt to apply Kepler’s Laws. If you do you will receive NO credit.

2. Relevant equations
I have arrived at a solution, but I suspect that I have used rotational kinematics. Can someone confirm or dismiss this?

3. The attempt at a solution
Here is a screenshot from my Maple work. It is relationship1 (1) and (2) that I am worried about.

Thanks in advance.


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