Abstract
We apply the theory of the third integral to a self-consistent galactic model, generated by the collapse of a N-body system. The final configuration after the collapse is a stationary triaxial system, that represents an almost prolate non-rotating elliptical galaxy with its longest axis in the z-direction. This system is represented by an axisymmetric potential V plus a small triaxial perturbation V 1 . The orbits in the potential V are of three types: box orbits, tube orbits (corresponding to various resonances), and chaotic orbits.
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