The nonlinear stability zones of the triangular Lagrangian points are deter
mined numerically and the effect of radiation of primaries is considered, i
n addition to the known effect of mass distribution, using the photogravita
tional restricted three-body problem model. It is found that radiation also
has a considerable effect reducing the stability zones. In cases of resona
nces, these zones are reduced to negligible size for some parameter values
within the linear stability regions.