Abstract
We present the planar orbital dynamics of a realistic barred galaxy model, containing a nucleus (bulge), a triaxial bar, and a disk. After conducting a systematic and exhaustive orbit classification, we manage to determine how the dynamical parameters associated with the bar (mass, semiaxes, and angular velocity) affect the nature of the trajectories of the test particle. In our analysis, we distinguish not only between ordered, chaotic, and escaping motions but also between different types of regular orbits. More specifically, we reveal how the main types of regular orbits are influenced by the changes in the parameters of the galactic bar. Of particular interest is the phenomenon of trapped chaos that occurs in this galaxy model.