  This paper is devoted to the study of secondary resonances and the stability
of the Lagrangian point L4 in the spatial restricted three-body problem for
moderate mass ratios (mu), meaning that mu is smaller than 0.0045. However, we
concentrated our investigations on small mass ratios for mu smaller than 0.001,
which represent the mass ratios for stable configurations of tadpole orbits in
the Solar system. The stability is investigated by numerical methods, computing
stability maps in different parameter planes. We started investigating the mass
of the secondary; from Earth-mass bodies up to Jupiter-mass bodies. In addition
we changed the orbital elements (eccentricity and inclination) of the secondary
and Trojan body. For this parameter space we found high order secondary
resonances, which are present for various inclinations. To determine secondary
resonances we used Rabe's equation and the frequency analysis. In addition we
investigated the stability in and around these secondary resonances.
