This paper is devoted to the study of secondary resonances and the stability of the Lagrangian point L _ { 4 } in the spatial restricted three-body problem for moderate mass ratios \mu , meaning that \mu \leq 0.0045 .
However , we concentrated our investigations on small mass ratios \mu \leq 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 .