For the description of an arbitrary nonrelativistic three-body Coulomb
system an analytical approximate wave function is designed which is c
orrect for large interparticle separations. At shorter distances, wher
e the potential energy dominates the kinetic one, the wave function is
a linear mixture of products each consisting of three two-body Coulom
b waves propagating off the two-body energy shell but on the total ene
rgy shell. The method is employed for the calculations of multiply dif
ferential cross sections for photo-double ionization of helium and for
electron, positron, proton, and antiproton-impact ionization of atomi
c hydrogen.