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Mechanical Energy- Geosynchronous Orbit

  1. Nov 6, 2013 #1
    1. The problem statement, all variables and given/known data
    What is the total mechanical energy of a 290 kg satellite in a geosynchronous orbit around the Earth?

    2. Relevant equations
    W= K + UG where K= 1/2 (mv2) and UG= -(GmM)/r
    Fc= mac where ac= v2/r

    3. The attempt at a solution
    I think the geosynchronous part is what is throwing me off. What would the radius be so I can solve for the initial speed.
  2. jcsd
  3. Nov 7, 2013 #2
    I don't want to throw you off, but I think it might be easier to find the initial speed first then find the radius. It's a geosynchronous orbit, so what do you know about its period?
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