Nuclear anapole moments of \;^{133}Cs, \;^{203,205}Tl, \;^{207}Pb,
\;^{209}Bi are treated in the single-particle approximation. Analytical
results are obtained for the oscillator potential without spin-orbit
interaction. Then the anapole moments are calculated numerically in a
Woods-Saxon potential which includes spin-orbit interaction. The results
obtained demonstrate a remarkable stability of nuclear anapole moment
calculations in the single-particle approximation.Comment: 20 pages, LateX, One figure available upon request, BINP-93-11