Equivalent point source inversion in the rectangular coordinate system
has been widely used to reduce satellite magnetic data collected at d
ifferent altitudes to a common elevation over small areas. This method
is based on the expression of the magnetic anomaly caused by a magnet
ic dipole. Such an expression derived in a spherical coordinate system
by von Frese et al. [1981] is found erroneous. We point out the error
s in von Frese et al.'s [1981] formulas and present the correct expres
sion for the magnetic field of a magnetic dipole in a spherical coordi
nate system.