Example multipole moments

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    Brent Van Neste

    In astrophysical simulations of the N-body problem, force calculations can be done using hierarchical tree codes. Using this method, forces are calculated by first calculating the monopole, dipole and sometimes the quadrupole moment of the gravitational potential and take the contributions up to a certain order as an approximation of the gravitational potential. Note that there is no “gravitational analog” for negative charge.

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