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Speed of satellite in geosynchronous orbit

  1. Mar 29, 2014 #1
    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.
    jk7lT4o.jpg

    Thanks in advance.
     
  2. jcsd
  3. Mar 29, 2014 #2
    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.
     
  4. Mar 29, 2014 #3
    Actually, I just remembered that rotational velocity = v/r, and that rotational acceleration = a/r. So yeah, if that helps, use it.
     
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