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A question about a moving satellite (Kepler)

  1. Feb 6, 2013 #1
    1. The problem statement, all variables and given/known data
    Hi

    I have a question about a satellite moving in an elliptic motion. It begins its motion on the x axis, when x=2Re, and with a velocity: Vx=0, Vy=v0, Vz=-0.5V0.

    Re is radius of the earth.

    Solving this I arrived at:
    r0 = 10Re/4.
    e=1/4.
    Rmin = 2Re.
    Rmax = 10Re/3.

    Given all that, How do I find the z and y coordinates of the satellite, when x=0?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 6, 2013 #2

    tms

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    If you mean the initial conditions, you are given them: the object starts on the x axis, so y and z start off as zero.
     
  4. Feb 6, 2013 #3
    No, I mean I want to find, during the elliptical motion, where the satellite will meet the plane ZY.
     
  5. Feb 6, 2013 #4

    haruspex

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    The origin is one focus, yes? Can you write down the equation of the ellipse?
     
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