# Speed of satellite in geosynchronous orbit

1. Mar 29, 2014

### glennib

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.

2. Mar 29, 2014

### majormaaz

If I recall, rotational kinematics is full of ω's, and such associated terms. Step 1 is the formula for a period, and step 2 is just the application of centripetal motion.

I think your work in regards to your rules/restrictions looks fine, but I strongly advise you not to take my word for it, and just double check that my suggestions are valid.

3. Mar 29, 2014

### majormaaz

Actually, I just remembered that rotational velocity = v/r, and that rotational acceleration = a/r. So yeah, if that helps, use it.