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Using dimensional analysis to create dimensionless equation

  1. May 1, 2017 #1
    1. The problem statement, all variables and given/known data
    I am tasked with solving and creating a dimensionless equation from a differential equation given.

    2. Relevant equations
    This is the given equation:

    render.png


    3. The attempt at a solution
    When doing the dimensional analysis I see that we are left with units of [m-3][kg1][s-2].

    These units are actually the units of the inverse of the gravitational constant G. So to make this equation dimensionless would I just multiple both sides by G? So we get this dimensionless equation (but not really since the left side isn't exactly dimensionless):

    render.png

    Would appreciate help on where to go with this! Thanks in advance
     
  2. jcsd
  3. May 1, 2017 #2

    Orodruin

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    Please give the problem exactly as stated.
     
  4. May 1, 2017 #3
    Question: Solve and make a dimensional analysis in order to ensure the equation is really dimensionless.
     
  5. May 1, 2017 #4

    Orodruin

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    That is not the entire problem. It sounds like the very end of the problem text.
     
  6. May 2, 2017 #5
    What is c in the equation?
     
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