MacCullagh's Formula -- from Eric Weisstein's World of Physics

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MacCullagh's Formula

Given an extended gravitating mass, let the observer be located at a distance R and angle from a reference point. The multipole expansion of the gravitational potential is then given by

(1)

where G is the gravitational constant, and dm is a differential element of mass at position r, so to second order in ,

(2)

Gravitational Moment


© 1996-2007 Eric W. Weisstein

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