An analytical solution and its application to compute 2-D geoid anomal
ies, based on Brun's formula (Heiskanen & Moritz 1967), was developed
by Chapman (1979). In this paper we present the derived solution from
a thorough review of Chapman's algorithm. Apart from some typographica
l errors in the mathematical expressions, we have found that some of t
he precautions given by the author are not necessary when the algorith
m is applied, in particular those regarding the unit system, topograph
y and density contrast.