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Orbital Mechanics Problem

  1. Aug 27, 2009 #1
    1. The problem statement, all variables and given/known data
    A projectile in uniform gravitational field g=-g*j[tex]\hat{}[/tex] with initial location x(t=0)=[tex]_{}x[/tex]o, y(0)=[tex]_{}y[/tex]o show explicitly that the minimum value of radius of curvature [tex]\partial[/tex] of the resulting parabolic trajectory occurs at the apex and equal to ([tex]^{}v[/tex]ox)^2/g

    2. Relevant equations
    Dynamic vector kinematics equations



    3. The attempt at a solution
    I have set up two equations that i believe I will need but still i'm stuck i am not to sure if the route i'm taking is correct. Would like to know what should be the initial setup for this problem.
     
    Last edited: Aug 27, 2009
  2. jcsd
  3. Aug 27, 2009 #2

    kuruman

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    Start by writing an equation y(x) giving the parabolic trajectory.
     
  4. Aug 27, 2009 #3
    Okay, I think I'm heading in the right direction now, I am trying to evaluate the radius of curvature as a function of position from there i will attempt to...not sure yet
     
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