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Multipole expansion

  1. Mar 10, 2013 #1
    1. The problem statement, all variables and given/known data

    Given the multipole moment of the mass distribution how would I go about determining that the multipole moment expansion is invariant. I


    2. Relevant equations

    http://cohengroup.ccmr.cornell.edu/courses/phys3327/HW2/hw2.pdf

    3. The attempt at a solution

    I need to explicitly show how the coordinates transform over an orthogonal rotation. I'm not sure how to do this part explicitly and for an expansion of any multipole term. The link to EX 2.2 is similiar to what I'm asking but instead of a translation I need to show for a rotation of the basis.
     
    Last edited by a moderator: Mar 10, 2013
  2. jcsd
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