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We study the regular or chaotic nature of orbits in a 3D potential describinga triaxial galaxy surrounded by a spherical dark halo component. Our numericalcalculations show, that the percentage of chaotic orbits decreasesexponentially, as the mass of the dark halo increases. A linear increase of thepercentage of the chaotic orbits was observed, as the scale length of the darkhalo component increases. In order to distinguish between regular and chaoticcharacter of orbits, we use the total angular momentum Ltot, as a newindicator. Comparison of this new dynamical parameter, with other, previouslyused chaos indicators, shows that the Ltot gives very fast and reliable resultsin order to detect the character of orbits in galactic potentials.

Order and chaos in a triaxial galaxy model with a dark halo component