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Find the force function for a particle subject to a central

  1. Apr 27, 2015 #1
    1. The problem statement, all variables and given/known data

    The problem is stated as Find the force function for a particle subject to a central field for each of the orbits as follows
    a.) r=roCosθ
    b.) r=roe^kθ



    2. Relevant equations
    We know the F(x)= dv/dx

    here I am assuming F(x)=dv/dθ

    3. The attempt at a solution

    Do I just take the derivative of the orbit. I believe so but it must be in a different way.
    Should I make r=√(x^2+y^2) or simply just take the derivative?
     
  2. jcsd
  3. Apr 28, 2015 #2

    haruspex

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    I don't think that either F(x)=dv/dx or dv/d theta. You could have mdv/dt or mv dv/dx.
     
  4. Apr 28, 2015 #3

    ehild

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    Work in polar coordinates. What are the radial and azimuthal components of the acceleration? What do you know about the angular momentum in a central field?
     
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