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Universal Gravitation homework

  1. Jan 28, 2014 #1
    1. The problem statement, all variables and given/known data

    In the not-too-distant future astronauts will travel to mars to carry out scientific explorations. As part of their mission, it is likely that a "geosynchronous" satelite will be placed
    above a given point on the Martian equator to facilitate communcations. At what altitude above the surface of mars should such a satellite orbit? (the Martian day is 24.6229 hours. other relevant information can be found in appendix c.) At what altitude above the suface of mars should such a satellite orbit?

    2. Relevant equations


    I know that we should use Universal Gravitation (F = GmM1/R^2).

    3. The attempt at a solution

    r = (GMT/2pi)^.5
    i did this to solve for the radius, converting the Maritan day into seconds first.
     
  2. jcsd
  3. Jan 28, 2014 #2

    collinsmark

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    Hello yiyi,

    Welcome to Physics Forums! :smile:

    You will have to show more work. Something isn't quite right to me with your "r = (GMT/2pi)^.5" answer. Perhaps if you show some of your work we can help find what went wrong.

    As a hint though, set the gravitational force equal to the centripetal force and solve for r.
     
  4. Jan 28, 2014 #3
    I think I just did some mathematical calculations wrong. Thanks for the help!
     
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