MacCullagh's formula

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MacCullagh's formula [mə′kəl·əz ‚fȯr·myə·lə]

(physics)

A formula for the potential due to a distribution of mass or charge at an external point: the potentialVat a pointPresulting from a distribution of mass or positive charge centered about a pointOisV= (kM/r) + (k/2r³)(A+B+C- 3I) +O(1/r⁴), whereris the distance fromOtoP,kis the gravitational or electrostatic constant,Mis the total mass or charge,A,B, andCare the principal moments aboutO,Iis the moment aboutOP, andO(1/r⁴) is a quantity that falls off at least as rapidly as 1/r⁴.

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